Edit Profile (opens in new tab) Llibre, Jaume Co-Author Distance Author ID: llibre.jaume Published as: Llibre, Jaume; Llibre, J.; Llibre Saló, Jaume; Llimbre, Jaume; Llibre, James; LLibre, Jaume; Libre, Jaume more...less Homepage: http://www.gsd.uab.cat/personal/jllibre External Links: MGP · ORCID · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND · IdRef · theses.fr Documents Indexed: 1,155 Publications since 1980, including 13 Books and 14 Additional arXiv Preprints 14 Contributions as Editor · 1 Further Contribution Biographic References: 2 Publications Co-Authors: 332 Co-Authors with 1,127 Joint Publications 4,985 Co-Co-Authors all top 5 Co-Authors 38 single-authored 197 Valls Anglés, Cláudia 58 Giné, Jaume 47 Zhang, Xiang 42 Teixeira, Marco Antonio 39 Artés, Joan Carles 34 Corbera, Montserrat 25 García Guirao, Juan Luis 21 Novaes, Douglas Duarte 21 Pantazi, Chara 21 Vulpe, Nicolae I. 20 Alsedà, Lluís 19 Gasull, Armengol 19 Makhlouf, Amar 19 Ramírez, Rafael O. 18 Pérez-Chavela, Ernesto 17 Lacomba, Ernesto A. 17 Li, Weigu 16 Buzzi, Claudio Aguinaldo 15 Da Silva, Paulo Ricardo 15 Li, Chengzhi 15 Oliveira, Regilene D. S. 15 Schlomiuk, Dana I. 14 Benterki, Rebiha 14 Cairó, Laurent 14 Chavarriga, Javier 14 Ferragut, Antoni 14 Ginoux, Jean-Marc 14 Ponce, Enrique 14 Vidal, Claudio 13 García, Isaac A. 13 Giacomini, Hector J. 13 Medrado, João C. R. 13 Pérez del Río, Jesús S. 13 Sirvent, Víctor F. 12 Buică, Adriana 12 Cors, Josep Maria 12 Li, Shimin 12 Messias, Marcelo 12 Misiurewicz, Michał 11 Christopher, Colin J. 11 Grau, Maite 11 Mello, Luis Fernando O. 11 Yu, Jiang 11 Zhang, Zhifen 10 Cima, Anna 10 Ramírez, Valentín 10 Rodríguez, José Angel 10 Simó, Carles 10 Walcher, Sebastian 9 Barreira, Luis Manuel 9 Coll, Bartomeu 9 García, Belén 9 Mahdi, Adam 9 Mereu, Ana Cristina 9 Sadovskaia, Natalia 9 Torregrosa, Joan 8 Cândido, Murilo R. 8 Casasayas, Josefina 8 Delgado, Joaquín F. 8 Itikawa, Jackson 8 Martínez, Y. Paulina 8 Salhi, Tayeb 8 Sotomayor, Jorge 8 Tonon, Durval José 7 de Moraes, Jaime R. 7 Jarque, Xavier 7 Lopes, Bruno Domeniciano 7 Maza, Susanna 7 Pessoa, Claudio 7 Roberto, Luci Any F. 6 Chen, Ting 6 Colak, Ilker E. 6 de Carvalho, Tiago 6 Diz-Pita, Érika 6 Euzébio, Rodrigo D. 6 Falconi, Manuel J. 6 Li, Tao 6 Makhlouf, Ammar 6 Otero-Espinar, Maria Victoria 6 Rodrigues, Ana 6 Teruel, Antonio E. 6 Wu, Hao 5 Alvarez-Ramírez, Martha 5 Alvarez, Martha R. 5 Bolaños, Yudy 5 Braun, Francisco 5 Dias, Fabio Scalco 5 Gouveia, Márcio R. Alves 5 Makarenkov, Oleg Yuryĭovych 5 Paraños, José 5 Paşca, Daniel 5 Rodrigues, Camila Ap. B. 5 Silva Lima, Mauricio Firmino 5 Świrszcz, Grzegorz M. 5 Tian, Yuzhou 5 Vera, Juan A. 5 Viano, Mireille 4 Baldwin, Stewart L. 4 Blé, Gamaliel 4 Castellanos, Víctor ...and 232 more Co-Authors all top 5 Serials 78 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 76 Journal of Differential Equations 36 Journal of Mathematical Analysis and Applications 36 Journal of Mathematical Physics 28 Qualitative Theory of Dynamical Systems 27 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 25 Bulletin des Sciences Mathématiques 24 Discrete and Continuous Dynamical Systems. Series B 22 Chaos, Solitons and Fractals 22 Electronic Journal of Differential Equations (EJDE) 22 Nonlinear Dynamics 21 Celestial Mechanics and Dynamical Astronomy 20 Journal of Geometry and Physics 20 Journal of Dynamics and Differential Equations 20 Discrete and Continuous Dynamical Systems 19 Rendiconti del Circolo Matemàtico di Palermo. Serie II 19 Dynamical Systems 18 Nonlinearity 17 Applied Mathematics and Computation 17 Proceedings of the American Mathematical Society 16 Rocky Mountain Journal of Mathematics 14 Physica D 14 Journal of Nonlinear Mathematical Physics 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 13 Pacific Journal of Mathematics 13 Journal of Difference Equations and Applications 11 Houston Journal of Mathematics 10 Applied Mathematics Letters 10 Publicacions Matemàtiques 10 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 10 Nonlinear Analysis. Real World Applications 10 Advanced Nonlinear Studies 10 Journal of Physics A: Mathematical and Theoretical 9 Transactions of the American Mathematical Society 9 Journal of Physics A: Mathematical and General 9 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 9 São Paulo Journal of Mathematical Sciences 8 Physics Letters. A 8 Journal of Computational and Applied Mathematics 8 Electronic Journal of Qualitative Theory of Differential Equations 7 Ergodic Theory and Dynamical Systems 7 Communications in Nonlinear Science and Numerical Simulation 7 Journal of Dynamical and Control Systems 6 Anais da Academia Brasileira de Ciências 6 Mathematics and Computers in Simulation 6 Journal of Nonlinear Science 6 Computational and Applied Mathematics 6 Buletinul Academiei de Științe a Republicii Moldova. Matematica 6 Differential Equations and Dynamical Systems 6 Mathematical Physics, Analysis and Geometry 6 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 5 Mathematical Methods in the Applied Sciences 5 Advances in Mathematics 5 Topology and its Applications 5 Acta Applicandae Mathematicae 5 Comptes Rendus de l’Académie des Sciences. Série I 5 Expositiones Mathematicae 5 Topological Methods in Nonlinear Analysis 5 Boletín de la Sociedad Matemática Mexicana. Third Series 5 Chaos 5 Acta Mathematica Sinica. English Series 5 Mediterranean Journal of Mathematics 4 Archive for Rational Mechanics and Analysis 4 Canadian Mathematical Bulletin 4 Extracta Mathematicae 4 Celestial Mechanics 4 SIAM Journal on Mathematical Analysis 4 Bulletin of the Belgian Mathematical Society - Simon Stevin 4 Communications in Contemporary Mathematics 4 Communications on Pure and Applied Analysis 4 Advanced Series in Nonlinear Dynamics 4 Journal of Fixed Point Theory and Applications 4 Discrete and Continuous Dynamical Systems. Series S 4 Journal of Applied Analysis and Computation 4 Applied Mathematics and Nonlinear Sciences 3 Astrophysics and Space Science 3 Computers & Mathematics with Applications 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Memoirs of the American Mathematical Society 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Results in Mathematics 3 Annals of Differential Equations 3 Communications on Applied Nonlinear Analysis 3 Dynamics of Continuous, Discrete and Impulsive Systems 3 Regular and Chaotic Dynamics 3 World Scientific Monograph Series in Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications 2 Applicable Analysis 2 Annales de l’Institut Fourier 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Bulletin of the London Mathematical Society 2 Canadian Journal of Mathematics 2 Fundamenta Mathematicae 2 Geometriae Dedicata 2 Indiana University Mathematics Journal 2 Proceedings of the London Mathematical Society. Third Series 2 Topology 2 Radovi Matematički 2 Journal of Symbolic Computation 2 Revista Matemática Iberoamericana ...and 71 more Serials all top 5 Fields 853 Ordinary differential equations (34-XX) 441 Dynamical systems and ergodic theory (37-XX) 178 Mechanics of particles and systems (70-XX) 47 Biology and other natural sciences (92-XX) 36 General topology (54-XX) 26 Operator theory (47-XX) 21 Relativity and gravitational theory (83-XX) 20 Global analysis, analysis on manifolds (58-XX) 17 Algebraic topology (55-XX) 14 General and overarching topics; collections (00-XX) 12 Partial differential equations (35-XX) 10 Algebraic geometry (14-XX) 10 Astronomy and astrophysics (85-XX) 8 Manifolds and cell complexes (57-XX) 8 Systems theory; control (93-XX) 5 Geophysics (86-XX) 4 Real functions (26-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Difference and functional equations (39-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Differential geometry (53-XX) 3 Fluid mechanics (76-XX) 3 Optics, electromagnetic theory (78-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 936 Publications have been cited 10,367 times in 3,798 Documents Cited by ▼ Year ▼ Qualitative theory of planar differential systems. Zbl 1110.34002 Dumortier, Freddy; Llibre, Jaume; Artés, Joan C. 534 2006 Averaging methods for finding periodic orbits via Brouwer degree. Zbl 1055.34086 Buică, Adriana; Llibre, Jaume 174 2004 Combinatorial dynamics and entropy in dimension one. 2nd ed. Zbl 0963.37001 Alsedà, Lluís; Llibre, Jaume; Misiurewicz, Michał 138 2000 Three nested limit cycles in discontinuous piecewise linear differential systems with two zones. Zbl 1268.34061 Llibre, Jaume; Ponce, Enrique 120 2012 Multiplicity of invariant algebraic curves in polynomial vector fields. Zbl 1160.34003 Christopher, Colin; Llibre, Jaume; Pereira, Jorge Vitório 112 2007 On the nonexistence, existence and uniqueness of limit cycles. Zbl 0886.58087 Giacomini, H.; Llibre, J.; Viano, M. 108 1996 Combinatorial dynamics and entropy in dimension one. Zbl 0843.58034 Alsedà, Lluis; Llibre, Jaume; Misiurewicz, Michał 87 1993 On the integrability of two-dimensional flows. Zbl 0940.37005 Chavarriga, Javier; Giacomini, Hector; Giné, Jaume; Llibre, Jaume 82 1999 Averaging theory for discontinuous piecewise differential systems. Zbl 1347.37097 Llibre, Jaume; Mereu, Ana C.; Novaes, Douglas D. 80 2015 Limit cycles for a class of Abel equations. Zbl 0732.34025 Gasull, A.; Llibre, J. 79 1990 Higher order averaging theory for finding periodic solutions via Brouwer degree. Zbl 1291.34077 Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco A. 75 2014 Integrability via invariant algebraic curves for planar polynomial differential systems. Zbl 0974.34005 Christopher, Colin; Llibre, Jaume 73 2000 On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry. Zbl 1293.34047 Llibre, Jaume; Ordóñez, Manuel; Ponce, Enrique 73 2013 Bounded polynomial vector fields. Zbl 0695.34028 Cima, Anna; Llibre, Jaume 72 1990 Local analytic integrability for nilpotent centers. Zbl 1037.34025 Chavarriga, Javier; Giacomin, Hector; Giné, Jaume; Llibre, Jaume 69 2003 Darboux theory of integrability in \(\mathbb C^n\) taking into account the multiplicity. Zbl 1163.34003 Llibre, Jaume; Zhang, Xiang 68 2009 Limit cycles for discontinuous quadratic differential systems with two zones. Zbl 1318.34049 Llibre, Jaume; Mereu, Ana C. 68 2014 Periodic solutions of nonlinear periodic differential systems with a small parameter. Zbl 1139.34036 Buică, Adriana; Françoise, Jean-Pierre; Llibre, Jaume 67 2007 Maximum number of limit cycles for certain piecewise linear dynamical systems. Zbl 1348.34065 Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco A. 67 2015 Darboux integrability and the inverse integrating factor. Zbl 1043.34001 Chavarriga, Javier; Giacomini, Hector; Giné, Jaume; Llibre, Jaume 66 2003 The problem of distinguishing between a center and a focus for nilpotent and degenerate analytic systems. Zbl 1111.34026 Giacomini, Hector; Giné, Jaume; Llibre, Jaume 65 2006 Limit cycles of the generalized polynomial Liénard differential equations. Zbl 1198.34051 Llibre, Jaume; Mereu, Ana Cristina; Teixeira, Marco Antonio 63 2010 Algebraic and topological classification of the homogeneous cubic vector fields in the plane. Zbl 0711.34061 Cima, Anna; Llibre, Jaume 62 1990 Horseshoes, entropy and periods for graph maps. Zbl 0787.54021 Llibre, Jaume; Misiurewicz, Michał 60 1993 On the birth of limit cycles for non-smooth dynamical systems. Zbl 1407.37080 Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco A. 59 2015 Averaging analysis of a perturbated quadratic center. Zbl 0992.34024 Llibre, Jaume; Pérez del Río, Jesús S.; Rodríguez, José Angel 56 2001 Invariant algebraic surfaces of the Lorenz system. Zbl 1059.34005 Llibre, Jaume; Zhang, Xiang 53 2002 Regularization of discontinuous vector fields on \({\mathbb{R}^3}\) via singular perturbation. Zbl 1127.34003 Llibre, Jaume; da Silva, Paulo R.; Teixeira, Marco A. 51 2007 Dynamics and mission design near libration points. Vol. 2: Fundamentals: The case of triangular libration points. Zbl 0971.70004 Gómez, G.; Simó, C.; Llibre, J.; Martinez, R. 51 2001 Lower bounds for the maximum number of limit cycles of discontinuous piecewise linear differential systems with a straight line of separation. Zbl 1270.34018 Llibre, J.; Teixeira, M. A.; Torregrosa, J. 51 2013 Integrability of polynomial differential systems. Zbl 1088.34022 Llibre, Jaume 49 2004 Uniqueness of limit cycles for Liénard differential equations of degree four. Zbl 1248.34035 Li, Chengzhi; Llibre, Jaume 47 2012 On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line. Zbl 1309.34039 Euzébio, Rodrigo D.; Llibre, Jaume 47 2015 A unified proof of the weakened Hilbert 16th problem for \(n=2\). Zbl 1098.34024 Chen, Fengde; Li, Chengzhi; Llibre, Jaume; Zhang, Zenghua 46 2006 Piecewise linear differential systems with two real saddles. Zbl 07312523 Artés, Joan C.; Llibre, Jaume; Medrado, Joao C.; Teixeira, Marco A. 46 2014 Piecewise linear differential systems with only centers can create limit cycles? Zbl 1390.34081 Llibre, Jaume; Teixeira, Marco Antonio 45 2018 On the existence and uniqueness of limit cycles in Liénard differential equations allowing discontinuities. Zbl 1158.34020 Llibre, Jaume; Ponce, Enrique; Torres, Francisco 44 2008 Limit cycles of cubic polynomial vector fields via the averaging theory. Zbl 1127.34025 Giné, Jaume; Llibre, Jaume 43 2007 Configurations of limit cycles and planar polynomial vector fields. Zbl 1055.34061 Llibre, Jaume; Rodríguez, Gerardo 43 2004 Global dynamics of the Rikitake system. Zbl 1162.37017 Llibre, Jaume; Messias, Marcelo 43 2009 Darboux theory of integrability for polynomial vector fields in taking into account the multiplicity at infinity. Zbl 1198.34054 Llibre, Jaume; Zhang, Xiang 42 2009 Oscillatory solutions in the planar restricted three-body problem. Zbl 0505.70010 Llibre, Jaume; Simó, Carles 41 1980 Rotation vectors and entropy for homeomorphisms of the torus isotopic to the identity. Zbl 0699.58049 Llibre, J.; Mackay, R. S. 41 1991 Limit cycles of a perturbed cubic polynomial differential center. Zbl 1298.34061 Buică, Adriana; Llibre, Jaume 41 2007 Polynomial first integrals for quasi-homogeneous polynomials differential systems. Zbl 1024.34001 Llibre, Jaume; Zhang, Xiang 41 2002 Limit cycles bifurcating from the periodic orbits of a discontinuous piecewise linear differentiable center with two zones. Zbl 1327.34067 Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco A. 40 2015 Transversality of the invariant manifolds associated to the Lyapunov family of periodic orbits near \(L_ 2\) in the restricted three-body problem. Zbl 0594.70013 Llibre, Jaume; Martínez, Regina; Simó, Carles 39 1985 On the global dynamics of the Rabinovich system. Zbl 1147.37023 Llibre, Jaume; Messias, Marcelo; da Silva, Paulo R. 38 2008 The geometry of quadratic differential systems with a weak focus of second order. Zbl 1124.34014 Artés, Joan C.; Llibre, Jaume; Schlomiuk, Dana 36 2006 Entropy and periodic points for transitive maps. Zbl 0913.58034 Alsedà, Ll.; Kolyada, S.; Llibre, J.; Snoha, Ľ. 36 1999 Study of singularities in nonsmooth dynamical systems via singular perturbation. Zbl 1167.34304 Llibre, Jaume; Da Silva, Paulo R.; Teixeira, Marco A. 36 2009 Quadratic Hamiltonian vector fields. Zbl 0791.34048 Artés, Joan C.; Llibre, Jaume 36 1994 The geometry of quadratic differential systems with a weak focus of third order. Zbl 1058.34034 Llibre, Jaume; Schlomiuk, Dana 35 2004 Introduction to the qualitative theory of differential systems. Planar, symmetric and continuous piecewise linear systems. Zbl 1286.34001 Llibre, Jaume; Teruel, Antonio E. 35 2014 On the shape of limit cycles that bifurcate from Hamiltonian centers. Zbl 0954.34022 Giacomini, Hector; Llibre, Jaume; Viano, Mireille 34 2000 The pseudo-Hopf bifurcation for planar discontinuous piecewise linear differential systems. Zbl 1380.34030 Castillo, Juan; Llibre, Jaume; Verduzco, Fernando 34 2017 On the families of periodic orbits which bifurcate from the circular Sitnikov motions. Zbl 0818.70011 Belbruno, Edward; Llibre, Jaume; Ollé, Mercè 33 1994 Rational first integrals in the Darboux theory of integrability in \(\mathbb C^n\). Zbl 1190.34003 Llibre, Jaume; Zhang, Xiang 33 2010 Limit cycles bifurcating from the period annulus of quasi-homogeneous centers. Zbl 1176.34038 Li, Weigu; Llibre, Jaume; Yang, Jiazhong; Zhang, Zhifen 33 2009 On the Darboux integrability of polynomial differential systems. Zbl 1266.34002 Llibre, Jaume; Zhang, Xiang 33 2012 New central configurations for the planar 5-body problem. Zbl 1251.70012 Llibre, Jaume; Mello, Luis Fernando 32 2008 Local first integrals of differential systems and diffeomorphisms. Zbl 1043.37010 Li, Weigu; Llibre, Jaume; Zhang, Xiang 32 2003 Averaging theory at any order for computing periodic orbits. Zbl 1267.34073 Giné, Jaume; Grau, Maite; Llibre, Jaume 32 2013 Horseshoes near homoclinic orbits for piecewise linear differential systems in \(\mathbb R^3\). Zbl 1185.37048 Llibre, Jaume; Ponce, Enrique; Teruel, Antonio E. 31 2007 On the limit cycles of polynomial vector fields. Zbl 1223.34039 Llibre, J.; Świrszcz, G. 31 2011 Darboux integrability for 3D Lotka-Volterra systems. Zbl 0953.34037 Cairó, Laurent; Llibre, Jaume 31 2000 Counterexample to Kalman and Markus-Yamabe conjectures in larger than 3. Zbl 0889.34047 Bernat, Josep; Llibre, Jaume 31 1996 Limit cycles for discontinuous planar piecewise linear differential systems separated by one straight line and having a center. Zbl 1411.34030 Llibre, Jaume; Zhang, Xiang 31 2018 Periodic orbits of maps of \(Y\). Zbl 0803.54032 Alsedà, Lluis; Llibre, Jaume; Misiurewicz, Michał 30 1989 Liouvillian first integrals for the planar Lotka-Volterra system. Zbl 1194.34014 Giacomini, Hector; Cairó, Laurent; Llibre, Jaume 30 2003 Phase portraits of planar control systems. Zbl 0858.93037 Llibre, Jaume; Sotomayor, Jorge 30 1996 Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields. Zbl 1303.34027 Colak, Ilker E.; Llibre, Jaume; Valls, Claudia 30 2014 Global dynamics of the Lorenz system with invariant algebraic surfaces. Zbl 1204.34069 Llibre, Jaume; Messias, Marcelo; Da Silva, Paulo Ricardo 29 2010 Weak focus, limit cycles, and bifurcations for bounded quadratic systems. Zbl 0823.34043 Li, Chengzhi; Llibre, Jaume; Zhang, Zhifen 29 1995 Uniqueness and non-uniqueness of limit cycles for piecewise linear differential systems with three zones and no symmetry. Zbl 1331.34042 Llibre, Jaume; Ponce, Enrique; Valls, Clàudia 29 2015 The focus-centre problem for a type of degenerate system. Zbl 0962.34067 Gasull, Armengol; Llibre, Jaume; Mañosa, Víctor; Mañosas, Francesc 28 2000 A new result on averaging theory for a class of discontinuous planar differential systems with applications. Zbl 1386.34081 Itikawa, Jackson; Llibre, Jaume; Novaes, Douglas Duarte 28 2017 Averaging theory at any order for computing limit cycles of discontinuous piecewise differential systems with many zones. Zbl 1378.34066 Llibre, Jaume; Novaes, Douglas D.; Rodrigues, Camila A. B. 28 2017 A class of reversible cubic systems with an isochronous center. Zbl 0982.34024 Cairó, L.; Chavarriga, J.; Giné, J.; Llibre, J. 27 1999 Limit cycles for \(m\)-piecewise discontinuous polynomial Liénard differential equations. Zbl 1323.34042 Llibre, Jaume; Teixeira, Marco Antonio 27 2015 Phase portraits of quadratic polynomial vector fields having a rational first integral of degree 2. Zbl 1189.34065 Cairó, Laurent; Llibre, Jaume 26 2007 First integrals of local analytic differential systems. Zbl 1245.34004 Llibre, Jaume; Pantazi, Chara; Walcher, Sebastian 26 2012 Invariant algebraic surfaces of the Rikitake system. Zbl 0967.34002 Llibre, Jaume; Zhang, Xiang 26 2000 Uniqueness of algebraic limit cycles for quadratic systems. Zbl 0995.34024 Chavarriga, Javier; Giacomini, Hector; Llibre, Jaume 26 2001 Global dynamics of a Lotka-Volterra model with two predators competing for one prey. Zbl 1303.37037 Llibre, Jaume; Xiao, Dongmei 26 2014 On the number of invariant straight lines for polynomial differential systems. Zbl 0930.34022 Artés, Joan C.; Grünbaum, Branko; Llibre, Jaume 25 1998 Minimal sets of periods for torus maps. Zbl 0965.37019 Jiang, Boju; Llibre, Jaume 25 1998 Minimal sets of periods for torus maps via Nielsen numbers. Zbl 0843.55004 Alsedà, Lluís; Baldwin, Stewart; Llibre, Jaume; Swanson, R.; Szlenk, W. 25 1995 Linear estimate for the number of zeros of Abelian integrals for quadratic isochronous centres. Zbl 0999.34032 Li, Chengzhi; Li, Weigu; Llibre, Jaume; Zhang, Zhifen 25 2000 Polynomial, rational and analytic first integrals for a family of 3-dimensional Lotka-Volterra systems. Zbl 1325.34002 Llibre, Jaume; Valls, Clàudia 25 2011 Periodic points of holomorphic maps via Lefschetz numbers. Zbl 0947.55001 Fagella, Núria; Llibre, Jaume 24 2000 The shape of limit cycles that bifurcate from non-Hamiltonian centers. Zbl 0999.34028 Giacomini, Hector; Llibre, Jaume; Viano, Mireille 24 2001 Sliding vector fields via slow-fast systems. Zbl 1166.34001 Llibre, Jaume; Teixeira, Marco A.; da Silva, Paulo R. 24 2008 Chordal quadratic systems. Zbl 0609.34040 Gasull, Armengol; Sheng, Li-Ren; Llibre, Jaume 24 1986 Symmetric planar central configurations of five bodies: Euler plus two. Zbl 1223.70031 Gidea, Marian; Llibre, Jaume 23 2010 Arbitrary order bifurcations for perturbed Hamiltonian planar systems via the reciprocal of an integrating factor. Zbl 1011.34029 Viano, Mireille; Llibre, Jaume; Giacomini, Hector 23 2002 Some theorems on the existence, uniqueness, and nonexistence of limit cycles for quadratic systems. Zbl 0616.34028 Coll, B.; Gasull, A.; Llibre, J. 23 1987 Piecewise linear differential systems without equilibria produce limit cycles? Zbl 1373.34050 Llibre, Jaume; Teixeira, Marco Antonio 23 2017 Planar quasi-homogeneous polynomial differential systems and their integrability. Zbl 1336.34003 García, Belén; Llibre, Jaume; Pérez del Río, Jesús S. 23 2013 Darboux integrability and invariant algebraic curves for planar polynomial systems. Zbl 1012.34035 Christopher, Colin; Llibre, Jaume; Pantazi, Chara; Zhang, Xiang 23 2002 The limit cycles of discontinuous piecewise linear differential systems formed by centers and separated by irreducible cubic curves. II. Zbl 07796609 Benterki, Rebiha; Damene, Loubna; Llibre, Jaume 1 2024 On a class of global centers of linear systems with quintic homogeneous nonlinearities. Zbl 1521.34031 García-Saldaña, Johanna D.; Llibre, Jaume; Valls, Claudia 1 2023 Limit cycles of continuous piecewise differential systems separated by a parabola and formed by a linear center and a quadratic center. Zbl 1512.34069 Llibre, Jaume 1 2023 A characterization of the generalized Liénard polynomial differential systems having invariant algebraic curves. Zbl 1505.34046 Giné, Jaume; Llibre, Jaume 3 2022 Melnikov functions of arbitrary order for piecewise smooth differential systems in \(\mathbb{R}^n\) and applications. Zbl 1495.34026 Chen, Xingwu; Li, Tao; Llibre, Jaume 3 2022 Phase portraits of the Higgins-Selkov system. Zbl 1492.34056 Llibre, Jaume; Mousavi, Marzieh 2 2022 Global centers of the generalized polynomial Liénard differential systems. Zbl 1501.34031 Llibre, Jaume; Valls, Claudia 2 2022 Nilpotent center in a continuous piecewise quadratic polynomial Hamiltonian vector field. Zbl 1510.37090 Chen, Ting; Llibre, Jaume 2 2022 The cyclicity of the period annulus of a reversible quadratic system. Zbl 1508.34030 Liu, Changjian; Li, Chengzhi; Llibre, Jaume 2 2022 Phase portraits of a family of Kolmogorov systems with infinitely many singular points at infinity. Zbl 1482.34122 Diz-Pita, Érika; Llibre, Jaume; Otero-Espinar, M. Victoria 1 2022 Non-existence and uniqueness of limit cycles in a class of generalized Liénard equations. Zbl 1500.34028 Llibre, Jaume; Valls, Claudia 1 2022 Limit cycles of piecewise differential systems with linear Hamiltonian saddles and linear centres. Zbl 1504.34073 Llibre, Jaume; Valls, Claudia 1 2022 On the equilateral pentagonal central configurations. Zbl 1513.70041 Alvarez-Ramírez, M.; Gasull, A.; Llibre, J. 1 2022 Global phase portraits of a predator-prey system. Zbl 1499.34270 Diz-Pita, Érika; Llibre, Jaume; Otero-Espinar, M. Victoria 1 2022 Lower bounds for the number of limit cycles in a generalised Rayleigh-Liénard oscillator. Zbl 1509.34035 Euzébio, Rodrigo D.; Llibre, Jaume; Tonon, Durval J. 1 2022 Limit cycles of continuous piecewise differential systems formed by linear and quadratic isochronous centers I. Zbl 1497.34056 Ghermoul, Bilal; Llibre, Jaume; Salhi, Tayeb 1 2022 Phase portraits of uniform isochronous centers with homogeneous nonlinearities. Zbl 1498.34089 Llibre, Jaume; Valls, Claudia 1 2022 Geometric configurations of singularities of planar polynomial differential systems. A global classification in the quadratic case. Zbl 1493.37001 Artés, Joan C.; Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae 17 2021 The limit cycles of discontinuous piecewise linear differential systems formed by centers and separated by irreducible cubic curves I. Zbl 1477.34035 Benterki, Rebiha; Llibre, Jaume 13 2021 The planar discontinuous piecewise linear refracting systems have at most one limit cycle. Zbl 1474.34286 Li, Shimin; Liu, Changjian; Llibre, Jaume 10 2021 The 16th Hilbert problem for discontinuous piecewise isochronous centers of degree one or two separated by a straight line. Zbl 1470.34085 Esteban, M.; Llibre, J.; Valls, C. 7 2021 Phase portraits of a family of Kolmogorov systems depending on six parameters. Zbl 1462.34049 Diz-Pita, Érika; Llibre, Jaume; Otero-Espinar, M. Victoria 5 2021 Limit cycles of planar discontinuous piecewise linear Hamiltonian systems without equilibrium points and separated by irreducible cubics. Zbl 1479.34077 Belfar, Ahlam; Benterki, Rebiha; Llibre, Jaume 5 2021 Limit cycles in piecewise polynomial systems allowing a non-regular switching boundary. Zbl 1493.34096 Li, Tao; Llibre, Jaume 5 2021 Polynomial differential systems with even degree have no global centers. Zbl 1480.34044 Llibre, Jaume; Valls, Claudia 4 2021 The extended 16th Hilbert problem for discontinuous piecewise linear centers separated by a nonregular line. Zbl 1490.34036 Esteban, Marina; Llibre, Jaume; Valls, Claudia 3 2021 The zero-Hopf bifurcations in the Kolmogorov systems of degree 3 in \(\mathbb{R}^3\). Zbl 1461.34061 Diz-Pita, Érika; Llibre, Jaume; Otero-Espinar, M. Victoria; Valls, Claudia 3 2021 Rational limit cycles of Abel equations. Zbl 1471.34062 Llibre, Jaume; Valls, Claudia 3 2021 Periodic orbits and equilibria for a seventh-order generalized Hénon-Heiles Hamiltonian system. Zbl 1481.37071 Llibre, Jaume; Saeed, Tareq; Zotos, Euaggelos E. 3 2021 Limit cycles of planar discontinuous piecewise linear Hamiltonian systems without equilibria separated by reducible cubics. Zbl 1488.34226 Benterki, Rebiha; Jimenez, Jeidy; Llibre, Jaume 2 2021 The Euler-Jacobi formula and the planar quadratic-quartic polynomial differential systems. Zbl 1471.34061 Llibre, Jaume; Valls, Claudia 2 2021 Phase portraits of the complex Abel polynomial differential systems. Zbl 1485.34099 Llibre, Jaume; Valls, Claudia 2 2021 The Markus-Yamabe conjecture does not hold for discontinuous piecewise linear differential systems separated by one straight line. Zbl 1480.34074 Llibre, Jaume; de A. S. Menezes, Lucyjane 2 2021 Limit cycles of discontinuous piecewise differential systems formed by linear centers in \(\mathbb{R}^2\) and separated by two circles. Zbl 1468.34021 Anacleto, Maria Elisa; Llibre, Jaume; Valls, Claudia; Vidal, Claudio 2 2021 A sufficient condition for the real Jacobian conjecture in \(\mathbb{R}^2\). Zbl 1467.37024 Llibre, Jaume; Valls, Claudia 2 2021 Dynamics of the FitzHugh-Nagumo system having invariant algebraic surfaces. Zbl 1476.37032 Llibre, Jaume; Tian, Yuzhou 2 2021 A survey on algebraic and explicit non-algebraic limit cycles in planar differential systems. Zbl 1481.34041 Llibre, Jaume; Zhang, Xiang 2 2021 Invariant conditions for phase portraits of quadratic systems with complex conjugate invariant lines meeting at a finite point. Zbl 1471.58038 Artés, Joan C.; Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae 2 2021 Quadratic planar differential systems with algebraic limit cycles via quadratic plane Cremona maps. Zbl 1479.34056 Alberich-Carramiñana, Maria; Ferragut, Antoni; Llibre, Jaume 2 2021 Planar Kolmogorov systems coming from spatial Lotka-Volterra systems. Zbl 1490.34030 Diz-Pita, Érika; Llibre, Jaume; Otero-Espinar, M. Victoria 2 2021 Phase portraits and bifurcation diagram of the Gray-Scott model. Zbl 1462.34075 Chen, Ting; Li, Shimin; Llibre, Jaume 2 2021 Global dynamics and bifurcation of periodic orbits in a modified Nosé-Hoover oscillator. Zbl 1475.37057 Llibre, Jaume; Messias, Marcelo; Reinol, Alisson C. 2 2021 A new sufficient condition in order that the real Jacobian conjecture in \(\mathbb{R}^2\) holds. Zbl 1459.14023 Giné, Jaume; Llibre, Jaume 2 2021 Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems. Zbl 1487.34001 Li, Tao; Llibre, Jaume 1 2021 Limit cycles of piecewise polynomial differential systems with the discontinuity line \(xy = 0\). Zbl 1490.34038 Li, Tao; Llibre, Jaume 1 2021 Limit cycles of 3-dimensional discontinuous piecewise differential systems formed by linear centers. Zbl 1516.34035 LLibre, Jaume; de Moraes, Jaime R. 1 2021 Entropy and periods for continuous graph maps. Zbl 1499.37074 Llibre, Jaume; Sirvent, Víctor F. 1 2021 Periodic orbits bifurcating from a Hopf equilibrium of 2-dimensional polynomial Kolmogorov systems of arbitrary degree. Zbl 1496.34064 Djedid, Djamila; Llibre, Jaume; Makhlouf, Amar 1 2021 \(N\)-dimensional zero-Hopf bifurcation of polynomial differential systems via averaging theory of second order. Zbl 1477.34062 Kassa, S.; Llibre, J.; Makhlouf, A. 1 2021 Vanishing set of inverse Jacobi multipliers and attractor/repeller sets. Zbl 1466.37024 García, Isaac A.; Giné, Jaume; Llibre, Jaume; Maza, Susanna 1 2021 The zero-Hopf bifurcations of a four-dimensional hyperchaotic system. Zbl 1469.37037 Llibre, Jaume; Tian, Yuzhou 1 2021 On the birth and death of algebraic limit cycles in quadratic differential systems. Zbl 1509.34032 Llibre, Jaume; Oliveira, Regilene; Zhao, Yulin 1 2021 Limit cycles of piecewise differential equations on the cylinder. Zbl 1486.34074 Bakhshalizadeh, Ali; Llibre, Jaume 1 2021 Limit cycles bifurcating from a zero-Hopf equilibrium of a 3-dimensional continuous differential system. Zbl 1477.37061 Kassa, Sara; Llibre, Jaume; Makhlouf, Amar 1 2021 Complete integrability of vector fields in \(\mathbb{R}^N\). Zbl 1476.34006 Llibre, Jaume; Ramírez, Rafael; Ramírez, Valentín 1 2021 The Markus-Yamabe conjecture for continuous and discontinuous piecewise linear differential systems. Zbl 1489.34083 Llibre, Jaume; Zhang, Xiang 1 2021 Phase portraits of the quadratic polynomial Liénard differential systems. Zbl 1466.37019 Gouveia, Márcio R. A.; Llibre, Jaume; Roberto, Luci Any 1 2021 The circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem. Zbl 1486.70055 Llibre, Jaume; Paşca, Daniel; Valls, Claudià 1 2021 Global topological configurations of singularities for the whole family of quadratic differential systems. Zbl 1433.58030 Artés, Joan C.; Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae 13 2020 Limit cycles in planar piecewise linear Hamiltonian systems with three zones without equilibrium points. Zbl 1453.34047 da Fonseca, Alexander Fernandes; Llibre, Jaume; Mello, Luis Fernando 10 2020 Strongly formal Weierstrass non-integrability for polynomial differential systems in \(\mathbb{C}^2\). Zbl 1449.34001 Giné, Jaume; Llibre, Jaume 10 2020 Non-existence, existence, and uniqueness of limit cycles for a generalization of the van der Pol-Duffing and the Rayleigh-Duffing oscillators. Zbl 1496.34062 Cândido, Murilo R.; Llibre, Jaume; Valls, Claudia 9 2020 Crossing limit cycles for a class of piecewise linear differential centers separated by a conic. Zbl 1452.34025 Jimenez, Johana; Llibre, Jaume; Medrado, João C. 8 2020 Phase portraits of planar piecewise linear refracting systems: focus-saddle case. Zbl 1457.34046 Li, Shimin; Llibre, Jaume 7 2020 \(Z_2\)-equivariant linear type bi-center cubic polynomial Hamiltonian vector fields. Zbl 1471.37056 Chen, Ting; Li, Shimin; Llibre, Jaume 7 2020 Formal Weierstrass nonintegrability criterion for some classes of polynomial differential systems in \(\mathbb{C}^2\). Zbl 1446.34001 Giné, Jaume; Llibre, Jaume 7 2020 Limit cycles bifurcating of Kolmogorov systems in \(\mathbb{R}^2\) and in \(\mathbb{R}^3\). Zbl 1457.37067 Llibre, Jaume; Martínez, Y. Paulina; Valls, Claudia 6 2020 Simultaneous occurrence of sliding and crossing limit cycles in piecewise linear planar vector fields. Zbl 1479.34057 Cardoso, João L.; Llibre, Jaume; Novaes, Douglas D.; Tonon, Durval J. 6 2020 Phase portraits of Bernoulli quadratic polynomial differential systems. Zbl 1457.34047 Llibre, Jaume; Pereira, Weber F.; Pessoa, Claudio 5 2020 Crossing limit cycles for piecewise linear differential centers separated by a reducible cubic curve. Zbl 1463.34141 Jimenez, Jeidy; Llibre, Jaume; Medrado, Joao 5 2020 Linear type global centers of linear systems with cubic homogeneous nonlinearities. Zbl 1479.34059 García-Saldaña, Johanna D.; Llibre, Jaume; Valls, Claudia 5 2020 Integrability and zero-Hopf bifurcation in the Sprott A system. Zbl 1450.34018 Barreira, Luis; Llibre, Jaume; Valls, Claudia 4 2020 Nilpotent global centers of linear systems with cubic homogeneous nonlinearities. Zbl 1436.34027 García-Saldaña, J. D.; Llibre, Jaume; Valls, Claudia 4 2020 Bifurcations from families of periodic solutions in piecewise differential systems. Zbl 1500.34031 Llibre, Jaume; Novaes, Douglas D.; Rodrigues, Camila A. B. 4 2020 Final evolutions of a class of May-Leonard Lotka-Volterra systems. Zbl 1436.34059 Buzzi, Claudio A.; Santos, Robson A. T.; Llibre, Jaume 4 2020 Global dynamics of a Lotka-Volterra system in \(\mathbb{R}^3\). Zbl 1436.37027 Llibre, Jaume; Martínez, Y. Paulina; Valls, Claudia 4 2020 On the configurations of the singular points and their topological indices for the spatial quadratic polynomial differential systems. Zbl 1454.34055 Llibre, Jaume; Valls, Claudia 3 2020 The solution of the second part of the 16th Hilbert problem for nine families of discontinuous piecewise differential systems. Zbl 1517.34060 Benterki, Rebiha; Llibre, Jaume 3 2020 Dynamics of a competitive Lotka-Volterra systems in \(\mathbb{R}^3\). Zbl 1467.34050 Llibre, Jaume; Martínez, Y. Paulina 3 2020 Centers of planar generalized Abel equations. Zbl 1451.34031 Llibre, Jaume; Valls, Clàudia 3 2020 Zero-Hopf periodic orbits for a Rössler differential system. Zbl 1453.34058 Llibre, Jaume; Makhlouf, Ammar 2 2020 Dynamics of a family of Lotka-Volterra systems in \(\mathbb{R}^3\). Zbl 1451.37025 Llibre, Jaume; Martínez, Y. Paulina 2 2020 Limit cycles of piecewise polynomial perturbations of higher dimensional linear differential systems. Zbl 1441.34029 Llibre, Jaume; Novaes, Douglas D.; Zeli, Iris O. 2 2020 Limit cycles for two classes of control piecewise linear differential systems. Zbl 1457.37068 Llibre, Jaume; Oliveira, Regilene D.; Rodrigues, Camila Ap. B. 2 2020 The centers and their cyclicity for a class of polynomial differential systems of degree 7. Zbl 1430.34043 Benterki, Rebiha; Llibre, Jaume 2 2020 Bounded polynomial vector fields in \(\mathbb{R}^2\) and \(\mathbb{R}^n\). Zbl 1436.34024 Barreira, Luis; Llibre, Jaume; Valls, Claudia 2 2020 On the global dynamics of a three-dimensional forced-damped differential system. Zbl 1436.34028 Llibre, Jaume; Martínez, Y. Paulina; Valls, Claudia 2 2020 Qualitative study of a model with Rastall gravity. Zbl 1479.83284 Llibre, Jaume; Pantazi, Chara 1 2020 Periodic orbits of the two fixed centers problem with a variational gravitational field. Zbl 1448.70019 Gao, Fabao; Llibre, Jaume 1 2020 Zero-Hopf bifurcations in three-dimensional chaotic systems with one stable equilibrium. Zbl 1465.34054 Llibre, Jaume; Messias, Marcelo; de Carvalho Reinol, Alisson 1 2020 On the singularities of the planar cubic polynomial differential systems and the Euler Jacobi formula. Zbl 1461.34052 Llibre, Jaume; Valls, Claudia 1 2020 On the configurations of centers of planar Hamiltonian Kolmogorov cubic polynomial differential systems. Zbl 1453.37054 Llibre, Jaume; Xiao, Dongmei 1 2020 4-dimensional zero-Hopf bifurcation for polynomial differentials systems with cubic homogeneous nonlinearities via averaging theory. Zbl 1474.34281 Feddaoui, Amina; Llibre, Jaume; Makhlouf, Amar 1 2020 Existence of periodic solutions for a class of second order ordinary differential equations. Zbl 1494.34119 Garcia, Antonio; Llibre, Jaume 1 2020 On the periodic solutions of the relativistic driven harmonic oscillator. Zbl 1458.34076 Llibre, Jaume; Makhlouf, Amar 1 2020 Orbitally universal centers. Zbl 1511.34038 Algaba, Antonio; García, Cristóbal; Giné, Jaume; Llibre, Jaume 1 2020 On the polynomial solutions of the polynomial differential equations \({y \; y}' = a_0(x) + a_1(x) y + a_2(x) y^2 + \ldots + a_n(x) y^{n}\). Zbl 1450.34006 Ferragut, Antoni; Llibre, Jaume 1 2020 On a conjecture on the integrability of Liénard systems. Zbl 1483.34008 Llibre, Jaume; Murza, Adrian C.; Valls, Claudia 1 2020 On the limit cycles of a class of discontinuous piecewise linear differential systems. Zbl 1441.34028 Llibre, Jaume; Menezes, Lucyjane de A. S. 1 2020 Integrability of a class of \(N\)-dimensional Lotka-Volterra and Kolmogorov systems. Zbl 1443.34005 Llibre, Jaume; Ramírez, Rafael; Ramírez, Valentín 1 2020 ...and 836 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,836 Authors 727 Llibre, Jaume 237 Valls Anglés, Cláudia 128 Giné, Jaume 97 Zhang, Xiang 87 Han, Maoan 83 Gasull, Armengol 55 Algaba, Antonio 55 Torregrosa, Joan 53 Vidal, Claudio 45 García, Isaac A. 42 García, Cristóbal 42 Teixeira, Marco Antonio 39 Oliveira, Regilene D. S. 39 Romanovskiĭ, Valeriĭ Georgievich 38 Novaes, Douglas Duarte 38 Zhao, Yulin 37 Chen, Hebai 35 Ponce, Enrique 32 Vulpe, Nicolae I. 31 Mello, Luis Fernando O. 30 Giacomini, Hector J. 30 Liu, Changjian 29 Alsedà, Lluís 29 Buzzi, Claudio Aguinaldo 28 Li, Feng 28 Xiong, Yanqin 27 Cánovas, Jose S. 27 Corbera, Montserrat 27 Ferragut, Antoni 26 García Guirao, Juan Luis 26 Li, Shimin 26 Yu, Pei 25 Schlomiuk, Dana I. 25 Tang, Yilei 24 Artés, Joan Carles 24 Da Silva, Paulo Ricardo 24 Grau, Maite 24 Huang, Wentao 24 Liu, Yirong 23 Wu, Yusen 23 Yu, Jiang 22 Freire Macías, Emilio 22 Liang, Haihua 22 Messias, Marcelo 22 Misiurewicz, Michał 22 Prohens, Rafel 21 Makhlouf, Amar 21 Pérez-Chavela, Ernesto 21 Wei, Zhouchao 21 Yang, Jihua 20 Chen, Xingwu 20 Pantazi, Chara 19 Benterki, Rebiha 19 Chavarriga, Javier 19 Cors, Josep Maria 19 Fernandes, Antonio Carlos 19 Mañosas, Francesc 18 González-Olivares, Eduardo 18 Huang, Jianfeng 18 Oprocha, Piotr 18 Pessoa, Claudio 18 Rojas-Palma, Alejandro 18 Xiao, Dongmei 17 Alvarez, María Jesus 17 Yang, Xiaosong 16 Alvarez-Ramírez, Martha 16 Andres, Jan 16 Bendjeddou, Ahmed 16 Blokh, Alexander M. 16 Leonov, Gennadiĭ Alekseevich 16 Li, Chengzhi 16 Reyes, Manuel 16 Shi, Shaoyun 16 Sirvent, Víctor F. 16 Vera, Juan A. 16 Zhao, Liqin 15 Bravo, José Luis 15 Buică, Adriana 15 Kuznetsov, Nikolay Vladimirovich 15 Ramírez, Rafael O. 15 Uldall Kristiansen, K. 14 Carmona, Victoriano 14 Mañosa, Víctor 14 Maza, Susanna 14 Torres Peral, Francisco 14 Walcher, Sebastian 14 Xia, Yonghui 14 Yang, Jiazhong 13 Cen, Xiuli 13 Cima, Anna 13 Demina, Maria V. 13 Fernandez García-Hierro, Manuel 13 Fernández-Sánchez, Fernando 13 Medrado, João C. R. 13 Mereu, Ana Cristina 13 Rodríguez-Luis, Alejandro J. 13 M-Seara, Tere 13 Tonon, Durval José 13 Zhang, Weinian 12 Cândido, Murilo R. ...and 2,736 more Authors all top 5 Cited in 382 Serials 322 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 286 Journal of Differential Equations 202 Journal of Mathematical Analysis and Applications 196 Qualitative Theory of Dynamical Systems 102 Celestial Mechanics and Dynamical Astronomy 98 Chaos, Solitons and Fractals 91 Nonlinear Dynamics 84 Physica D 79 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 74 Discrete and Continuous Dynamical Systems. Series B 72 Journal of Mathematical Physics 71 Bulletin des Sciences Mathématiques 69 Journal of Dynamics and Differential Equations 68 Nonlinear Analysis. Real World Applications 67 Applied Mathematics and Computation 58 Communications in Nonlinear Science and Numerical Simulation 55 Topology and its Applications 52 Journal of Difference Equations and Applications 49 Proceedings of the American Mathematical Society 48 Discrete and Continuous Dynamical Systems 38 Dynamical Systems 37 SIAM Journal on Applied Dynamical Systems 34 Ergodic Theory and Dynamical Systems 34 Journal of Nonlinear Mathematical Physics 33 Nonlinearity 33 Journal of Geometry and Physics 32 Transactions of the American Mathematical Society 28 Applied Mathematics Letters 27 Journal of Nonlinear Science 25 Rendiconti del Circolo Matemàtico di Palermo. Serie II 25 Acta Mathematica Sinica. English Series 25 Advances in Difference Equations 24 Rocky Mountain Journal of Mathematics 24 ZAMP. Zeitschrift für angewandte Mathematik und Physik 23 Journal of Applied Analysis and Computation 22 Regular and Chaotic Dynamics 20 Chaos 19 Journal of Computational and Applied Mathematics 19 Journal of Dynamical and Control Systems 17 Mathematical Methods in the Applied Sciences 17 Acta Applicandae Mathematicae 17 Communications on Pure and Applied Analysis 16 Computers & Mathematics with Applications 16 Physics Letters. A 16 Advances in Mathematics 16 Electronic Journal of Differential Equations (EJDE) 16 Buletinul Academiei de Științe a Republicii Moldova. Matematica 16 Abstract and Applied Analysis 16 Discrete and Continuous Dynamical Systems. Series S 14 Discrete Dynamics in Nature and Society 13 Astrophysics and Space Science 13 Mediterranean Journal of Mathematics 13 Science China. Mathematics 12 Archive for Rational Mechanics and Analysis 12 Differential Equations and Dynamical Systems 12 Differential Equations 11 Mathematics and Computers in Simulation 11 Topological Methods in Nonlinear Analysis 11 Nonlinear Analysis. Theory, Methods & Applications 10 Acta Mathematicae Applicatae Sinica. English Series 10 Mathematical Problems in Engineering 10 São Paulo Journal of Mathematical Sciences 10 Applied Mathematics and Nonlinear Sciences 9 Communications in Mathematical Physics 9 Israel Journal of Mathematics 9 Mathematical Proceedings of the Cambridge Philosophical Society 9 Annales de l’Institut Fourier 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Journal of Symbolic Computation 9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 9 NoDEA. Nonlinear Differential Equations and Applications 9 Communications in Contemporary Mathematics 9 Applied Mathematics E-Notes 9 Sibirskie Èlektronnye Matematicheskie Izvestiya 9 Journal of Fixed Point Theory and Applications 8 Bulletin of the Australian Mathematical Society 8 Journal of Pure and Applied Algebra 8 European Journal of Applied Mathematics 8 Mathematical Physics, Analysis and Geometry 8 Advanced Nonlinear Studies 7 Anais da Academia Brasileira de Ciências 7 Geometriae Dedicata 7 Mathematische Zeitschrift 7 Expositiones Mathematicae 7 Journal of Mathematical Sciences (New York) 7 Nonlinear Analysis. Hybrid Systems 7 Russian Journal of Nonlinear Dynamics 6 International Journal of Control 6 Physica A 6 Automatica 6 Results in Mathematics 6 Science in China. Series A 6 Boletín de la Sociedad Matemática Mexicana. Third Series 6 Journal of Applied Mathematics 6 Bulletin of the Brazilian Mathematical Society. New Series 6 International Journal of Geometric Methods in Modern Physics 6 Advances in Mathematical Physics 5 Classical and Quantum Gravity 5 Mathematical Biosciences 5 Inventiones Mathematicae ...and 282 more Serials all top 5 Cited in 61 Fields 2,479 Ordinary differential equations (34-XX) 1,618 Dynamical systems and ergodic theory (37-XX) 568 Mechanics of particles and systems (70-XX) 224 Biology and other natural sciences (92-XX) 127 General topology (54-XX) 84 Partial differential equations (35-XX) 73 Systems theory; control (93-XX) 64 Operator theory (47-XX) 53 Numerical analysis (65-XX) 49 Global analysis, analysis on manifolds (58-XX) 48 Algebraic geometry (14-XX) 47 Difference and functional equations (39-XX) 43 Differential geometry (53-XX) 42 Algebraic topology (55-XX) 42 Relativity and gravitational theory (83-XX) 38 Manifolds and cell complexes (57-XX) 33 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 31 Computer science (68-XX) 31 Information and communication theory, circuits (94-XX) 30 Several complex variables and analytic spaces (32-XX) 29 Real functions (26-XX) 28 Astronomy and astrophysics (85-XX) 26 Probability theory and stochastic processes (60-XX) 25 Commutative algebra (13-XX) 25 Fluid mechanics (76-XX) 19 Quantum theory (81-XX) 18 Measure and integration (28-XX) 16 Field theory and polynomials (12-XX) 16 Functions of a complex variable (30-XX) 16 Optics, electromagnetic theory (78-XX) 16 Statistical mechanics, structure of matter (82-XX) 14 Geophysics (86-XX) 12 Combinatorics (05-XX) 12 Number theory (11-XX) 12 Group theory and generalizations (20-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 9 Approximations and expansions (41-XX) 9 Functional analysis (46-XX) 9 Mechanics of deformable solids (74-XX) 7 Special functions (33-XX) 7 Integral equations (45-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Mathematical logic and foundations (03-XX) 6 Nonassociative rings and algebras (17-XX) 6 Statistics (62-XX) 5 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Topological groups, Lie groups (22-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Operations research, mathematical programming (90-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Category theory; homological algebra (18-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 1 General algebraic systems (08-XX) 1 Associative rings and algebras (16-XX) 1 \(K\)-theory (19-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.