Qualitative Theory of Dynamical Systems Short Title: Qual. Theory Dyn. Syst. Publisher: Springer (Birkhäuser), Basel ISSN: 1575-5460; 1662-3592/e Online: http://link.springer.com/journal/volumesAndIssues/12346 Comments: Indexed cover-to-cover Documents Indexed: 629 Publications (since 2000) References Indexed: 592 Publications with 13,252 References. all top 5 Latest Issues 20, No. 3 (2021) 20, No. 2 (2021) 20, No. 1 (2021) 19, No. 3 (2020) 19, No. 2 (2020) 19, No. 1 (2020) 18, No. 3 (2019) 18, No. 2 (2019) 18, No. 1 (2019) 17, No. 3 (2018) 17, No. 2 (2018) 17, No. 1 (2018) 16, No. 3 (2017) 16, No. 2 (2017) 16, No. 1 (2017) 15, No. 2 (2016) 15, No. 1 (2016) 14, No. 2 (2015) 14, No. 1 (2015) 13, No. 2 (2014) 13, No. 1 (2014) 12, No. 2 (2013) 12, No. 1 (2013) 11, No. 2 (2012) 11, No. 1 (2012) 10, No. 2 (2011) 10, No. 1 (2011) 9, No. 1-2 (2010) 8, No. 2 (2010) 8, No. 1 (2009) 7, No. 2 (2009) 7, No. 1 (2008) 6, No. 2 (2005) 6, No. 1 (2005) 5, No. 2 (2004) 5, No. 1 (2004) 4, No. 2 (2003) 4, No. 1 (2003) 3, No. 2 (2002) 3, No. 1 (2002) 2, No. 2 (2002) 2, No. 1 (2001) 1, No. 2 (2000) all top 5 Authors 27 Llibre, Jaume 11 Vidal, Claudio 10 Gasull, Armengol 10 Xia, Yonghui 8 Giné, Jaume 8 Valls Anglés, Cláudia 7 García Guirao, Juan Luis 7 Lacomba, Ernesto A. 7 Vulpe, Nicolae I. 6 Algaba, Antonio 6 Li, Jibin 6 Pérez-Chavela, Ernesto 6 Roussarie, Robert 6 Rousseau, Christiane 6 Schlomiuk, Dana I. 6 Zhang, Xiang 5 Alvarez-Ramírez, Martha 5 Cima, Anna 5 Corbera, Montserrat 5 Cors, Josep Maria 5 Du, Zengji 5 Dumortier, Freddy 5 El-Nabulsi, Rami Ahmad 5 Falconi, Manuel J. 5 Han, Maoan 5 Sun, Taixiang 5 Xi, Hongjian 5 Zada, Akbar 4 Addas-Zanata, Salvador 4 Bessa, Mário 4 Fernandes, Antonio Carlos 4 Françoise, Jean-Pierre 4 García, Cristóbal 4 Mello, Luis Fernando O. 4 Moulin Ollagnier, Jean 4 Ren, Yong 4 Xu, Junxiang 4 Yang, Jiazhong 4 Yang, Jihua 3 Askri, Ghassen 3 Bai, Yuzhen 3 Barreira, Luis Manuel 3 Bautista, Serafín 3 Bengochea, Abimael 3 Bujac, Cristina 3 Carrião, Paulo Cesar 3 Chang, Lina 3 Crespo, Francisco 3 de Carvalho, Maria Pires 3 Ferragut, Antoni 3 Ferrer, Sebastián 3 Freire Macías, Emilio 3 Gidea, Marian 3 Gomes, Maria Elasir Seabra 3 Guillamon, Antoni 3 Guíñez, Víctor 3 Hattab, Hawete 3 Huang, Wentao 3 Jamilov, Uygun U. 3 Jiang, Fangfang 3 Ladra González, Manuel 3 Li, Chengzhi 3 Li, Zhiming 3 Liang, Haihua 3 Liu, Hanze 3 Liu, Jiang 3 Liz, Eduardo 3 Mañosas, Francesc 3 Medina, Mario 3 Misiurewicz, Michał 3 Molero, Francisco Javier 3 Mukhamedov, Farruh Maksutovich 3 Piña, Eduardo G. 3 Qin, Bin 3 Rabanal, Roland 3 Rozikov, Utkir A. 3 Ruas, Antonio Augusto Gaspar 3 Simó, Carles 3 Sirvent, Víctor F. 3 Sotomayor, Jorge 3 Tal, Fábio Armando 3 Vera López, Juan Antonio 3 Villadelprat, Jordi 3 Walcher, Sebastian 3 Wu, Xinxing 3 Yang, Xiaosong 3 Yomdin, Yosef 3 Yu, Jiang 3 Zhang, Tonghua 2 Abdallah, Ahmed Y. 2 Acosta Humánez, Primitivo Belén 2 Artés, Joan Carles 2 Ayers, Kimberly 2 Azamov, Abdulla Azamovich 2 Aziz, Waleed 2 Barrabés, Esther 2 Bortolatto, Renato B. 2 Bravo, José Luis 2 Buzzi, Claudio Aguinaldo 2 Calogero, Francesco A. ...and 790 more Authors all top 5 Fields 320 Dynamical systems and ergodic theory (37-XX) 309 Ordinary differential equations (34-XX) 106 Mechanics of particles and systems (70-XX) 40 Partial differential equations (35-XX) 37 Operator theory (47-XX) 37 Biology and other natural sciences (92-XX) 23 Difference and functional equations (39-XX) 21 Differential geometry (53-XX) 18 General topology (54-XX) 15 Global analysis, analysis on manifolds (58-XX) 12 Probability theory and stochastic processes (60-XX) 12 Numerical analysis (65-XX) 11 Algebraic geometry (14-XX) 11 Measure and integration (28-XX) 10 Several complex variables and analytic spaces (32-XX) 9 Manifolds and cell complexes (57-XX) 7 Real functions (26-XX) 7 Fluid mechanics (76-XX) 7 Systems theory; control (93-XX) 5 Commutative algebra (13-XX) 5 Special functions (33-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 General and overarching topics; collections (00-XX) 4 Combinatorics (05-XX) 4 Functions of a complex variable (30-XX) 4 Integral equations (45-XX) 4 Quantum theory (81-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Topological groups, Lie groups (22-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Relativity and gravitational theory (83-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Nonassociative rings and algebras (17-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Geometry (51-XX) 2 Algebraic topology (55-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 341 Publications have been cited 1,553 times in 1,332 Documents Cited by ▼ Year ▼ New results on the study of \(Z_q\)-equivariant planar polynomial vector fields. Zbl 1213.34059Li, Jibin; Liu, Yirong 43 2010 Exact iterative solution for an abstract fractional dynamic system model for bioprocess. Zbl 1454.34023Zhang, Xinguang; Mao, Cuiling; Liu, Lishan; Wu, Yonghong 38 2017 Liouvillian integration of the Lotka-Volterra system. Zbl 1084.34001Moulin Ollagnier, Jean 30 2002 Planar quadratic vector fields with invariant lines of total multiplicity at least five. Zbl 1101.34016Schlomiuk, Dana; Vulpe, Nicolae 30 2004 Normalizable, integrable and linearizable saddle points in the Lotka-Volterra system. Zbl 1100.34022Christopher, Colin; Rousseau, Christiane 27 2004 Equivalence of the Melnikov function method and the averaging method. Zbl 1377.34056Han, Maoan; Romanovski, Valery G.; Zhang, Xiang 27 2016 Isochronicity via normal form. Zbl 1021.34022Algaba, Antonio; Freire, Emilio; Gamero, Estanislao 26 2000 On the Darboux integrability of polynomial differential systems. Zbl 1266.34002Llibre, Jaume; Zhang, Xiang 25 2012 A survey on the inverse integrating factor. Zbl 1364.34005García, Isaac A.; Grau, Maite 24 2010 Abelian integrals and limit cycles. Zbl 1270.34004Li, Chengzhi 24 2012 Non-linear dynamics with non-standard Lagrangians. Zbl 1322.37037El-Nabulsi, Ahmad Rami 23 2013 Further results on ultimate bound on the trajectories of the Lorenz system. Zbl 1338.65275Zhang, Fuchen; Zhang, Guangyun 21 2016 Some lower bounds for \(H(n)\) in Hilbert’s 16th problem. Zbl 1050.34039Li, Jibin; Chan, H. S. Y.; Chung, K. W. 19 2002 Slow divergence integral and balanced canard solutions. Zbl 1215.34063Dumortier, Freddy 19 2011 Structurally stable discontinuous vector fields in the plane. Zbl 1047.37011Sotomayor, Jorge; Machado, Ana Lúcia F. 19 2002 Existence of positive solutions for a class of higher-order Caputo fractional differential equation. Zbl 1366.34013Zhao, Kaihong; Gong, Ping 19 2015 On the geometry in the neighbourhood of infinity of quadratic differential systems with a weak focus. Zbl 0989.34018Schlomiuk, Dana; Pal, Janos 18 2001 The chain properties and average shadowing property of iterated function systems. Zbl 1392.37009Wu, Xinxing; Wang, Lidong; Liang, Jianhua 17 2018 Non-standard non-local-in-time Lagrangians in classical mechanics. Zbl 1305.70043El-Nabulsi, Rami Ahmad 15 2014 Exact Devaney chaos and entropy. Zbl 1119.37027Kwietniak, Dominik; Misiurewicz, Michał 15 2005 Phase portraits of reversible linear differential systems with cubic homogeneous polynomial nonlinearities having a non-degenerate center at the origin. Zbl 1311.34061Buzzi, Claudio A.; Llibre, Jaume; Medrado, João C. R. 14 2009 Limit cycles for a class of continuous and discontinuous cubic polynomial differential systems. Zbl 1317.34040Llibre, Jaume; Lopes, Bruno D.; De Moraes, Jaime R. 14 2014 Uniform stability of a laminated beam with structural memory. Zbl 1383.74056Lo, Assane; Tatar, Nasser-eddine 14 2016 Existence of positive periodic solutions for a neutral delay predator-prey model with Hassell-Varley type functional response and impulse. Zbl 1392.34089Chen, Xiao; Du, Zengji 14 2018 Centers for trigonometric Abel equations. Zbl 1264.34055Cima, Anna; Gasull, Armengol; Mañosas, Francesc 13 2012 Stability for a new discrete ratio-dependent predator-prey system. Zbl 1394.37122Zhuo, Xiang-Lai; Zhang, Feng-Xue 13 2018 Cantor necklaces and structurally unstable Sierpinski curve Julia sets for rational maps. Zbl 1122.37033Devaney, Robert L. 12 2004 A new algorithm for finding rational first integrals of polynomial vector fields. Zbl 1216.34001Ferragut, Antoni; Giacomini, Héctor 12 2010 Period function for perturbed isochronous centres. Zbl 1087.34021Freire, Emilio; Gasull, Armengol; Guillamon, Antoni 12 2002 Center conditions for polynomial Liénard systems. Zbl 1392.34027Giné, Jaume 12 2017 Regular and singular reductions in the spatial three-body problem. Zbl 1282.70016Palacián, Jesús F.; Sayas, Flora; Yanguas, Patricia 11 2013 On local diffeomorphisms of \(\mathbb{R}^n\) that are injective. Zbl 1067.37019Fernandes, Alexandre; Gutierrez, Carlos; Rabanal, Roland 11 2003 Cyclicity versus center problem. Zbl 1210.34049Gasull, Armengol; Giné, Jaume 11 2010 Approximate controllability of fractional neutral stochastic functional integro-differential inclusions with infinite delay. Zbl 1379.34072Guendouzi, Toufik; Bousmaha, Lamia 11 2014 On the existence of central configurations of \(p\) nested \(n\)-gons. Zbl 1195.70018Corbera, Montserrat; Delgado, Joaquin; Llibre, Jaume 10 2010 On the vanishing set of inverse integrating factors. Zbl 1032.34027Berrone, Lucio R.; Giacomini, Hector J. 10 2000 On stacked planar central configurations with five bodies when one body is removed. Zbl 1345.70016Fernandes, Antonio Carlos; Mello, Luis Fernando 10 2013 Limit cycles bifurcated from a reversible quadratic center. Zbl 1142.34019Li, Jinming 10 2005 Stacked central configurations for the spatial seven-body problem. Zbl 1282.70021Mello, Luis Fernando; Fernandes, Antonio Carlos 9 2013 Generalized Liénard equations, cyclicity and Hopf-Takens bifurcations. Zbl 1131.34308Caubergh, Magdalena; Françoise, Jean-Pierre 9 2004 The period function for second-order quadratic ODEs is monotone. Zbl 1074.34033Gasull, Armengol; Guillamon, Antoni; Villadelprat, Jordi 9 2003 A note on the convergence of parametrised non-resonant invariant manifolds. Zbl 1209.37028Johnson, Tomas; Tucker, Warwick 9 2011 Global stability of Beddington model. Zbl 1383.92065Din, Qamar 9 2017 Melnikov functions and Bautin ideal. Zbl 1081.37030Roussarie, Robert 9 2001 Periodic perturbations of an isochronous center. Zbl 1043.34049Ortega, Rafael 9 2002 Qualitative classification of singular points. Zbl 1131.34304Jiang, Qibao; Llibre, Jaume 9 2005 Algebraic closure of a rational function. Zbl 1121.13301Moulin Ollagnier, Jean 8 2004 Hilbert’s sixteenth problem for polynomial Liénard equations. Zbl 1272.34002Caubergh, Magdalena 8 2012 Non-ergodicity of uniform quadratic stochastic operators. Zbl 1344.37093Jamilov, Uygun; Ladra, Manuel 8 2016 Global dynamics and bifurcations of certain second order rational difference equation with quadratic terms. Zbl 1338.39008Jašarević Hrustić, Sabina; Kulenović, M. R. S.; Nurkanović, M. 8 2016 Limit cycles for planar piecewise linear differential systems via first integrals. Zbl 1047.34021Llibre, Jaume; Nuñez, Eduardo; Teruel, Antonio E. 8 2002 Parameterized IFS with the asymptotic average shadowing property. Zbl 1372.37054Fatehi Nia, Mehdi 8 2016 Two tight independent set conditions for fractional \((g,f,m)\)-deleted graphs systems. Zbl 1390.05162Gao, Wei; García Guirao, Juan Luis; Wu, Hualong 8 2018 Stability analysis of the first order non-linear impulsive time varying delay dynamic system on time scales. Zbl 1432.34116Shah, Syed Omar; Zada, Akbar; Hamza, Alaa E. 8 2019 A unified analysis of exact traveling wave solutions for the fractional-order and integer-order Biswas-Milovic equation: via bifurcation theory of dynamical system. Zbl 1450.34008Zhang, Bei; Zhu, Wenjing; Xia, Yonghui; Bai, Yuzhen 8 2020 \(n-1\) independent first integrals for linear differential systems in \(\mathbb{R}^n\) or \(\mathbb{C}^n\). Zbl 1090.34002Falconi, Manuel; Llibre, Jaume 7 2003 Quadratic perturbations of a quadratic reversible Lotka-Volterra system. Zbl 1213.34071Li, Chengzhi; Llibre, Jaume 7 2010 Cubic Liénard equations with quadratic damping having two antisaddles. Zbl 1025.34029Dumortier, Freddy; Kooij, Robert E.; Li, Chengzhi 7 2000 Perturbation of a period annulus bounded by a heteroclinic loop connecting two hyperbolic saddles. Zbl 1385.37077Sun, Xianbo 7 2017 Structural stability of planar quasihomogeneous vector fields. Zbl 1318.34076Oliveira, Regilene; Zhao, Yulin 7 2014 A four-body convex central configuration with perpendicular diagonals is necessarily a kite. Zbl 1402.70012Corbera, Montserrat; Cors, Josep M.; Roberts, Gareth E. 7 2018 Complete global stability of a metapopulation model and its dynamically consistent discrete models. Zbl 1419.37077Dang, Quang A.; Hoang, Manh Tuan 7 2019 2-D Duffing oscillator: elliptic functions from a dynamical systems point of view. Zbl 1270.33011Molero, Francisco Javier; Lara, Martín; Ferrer, Sebastián; Céspedes, Francisco 6 2013 Convex energy levels of Hamiltonian systems. Zbl 1065.37044Salomão, Pedro A. S. 6 2003 Computing simplest normal forms for the Takens-Bogdanov singularity. Zbl 1050.34052Algaba, Antonio 6 2002 On the distribution and number of limit cycles for quadratic systems with two foci. Zbl 1050.34036Zhang, Pingguang 6 2002 Co-circular and co-spherical kite central configurations. Zbl 1307.70007Mello, Luis Fernando; Fernandes, Antonio Carlos 6 2011 On the Dulac functions. Zbl 1220.34050Osuna, Osvaldo; Villaseñor, Gabriel 6 2011 The Kepler problem and the Laplace-Runge-Lenz vector on spaces of constant curvature and arbitrary signature. Zbl 1163.70004Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 6 2008 Canard cycles of finite codimension with two breaking parameters. Zbl 1261.34044Mamouhdi, Lylia; Roussarie, Robert 6 2012 The fixed point approach to the stability of fractional differential equations with causal operators. Zbl 1343.34016Jiang, Jingfei; Cao, Dengqing; Chen, Huatao 6 2016 On the exponential stability of discrete semigroups. Zbl 1336.47047Zada, Akbar; Ahmad, Nisar; Khan, Ihsan Ullah; Khan, Faiz Muhammad 6 2015 The slow invariant manifold of the Lorenz-Krishnamurthy model. Zbl 1325.34062Ginoux, Jean-Marc 6 2014 Canards existence in Memristor’s circuits. Zbl 1370.34111Ginoux, Jean-Marc; Llibre, Jaume 6 2016 Positive periodic solutions for a first order singular ordinary differential equation generated by impulses. Zbl 1404.34030Nieto, Juan J.; Uzal, José M. 6 2018 On the equivalence of the Melnikov functions method and the averaging method. Zbl 1392.34052Buică, Adriana 6 2017 A note on higher order Melnikov functions. Zbl 1144.34024Jebrane, Ahmed; Żołądek, Henryk 6 2005 Periodic solution and ergodic stationary distribution of SEIS dynamical systems with active and latent patients. Zbl 1426.34063Qi, Haokun; Leng, Xiaona; Meng, Xinzhu; Zhang, Tonghua 6 2019 Global topological configurations of singularities for the whole family of quadratic differential systems. Zbl 1433.58030Artés, Joan C.; Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae 6 2020 Geometry of weak stability boundaries. Zbl 1270.70027Belbruno, Edward A.; Gidea, Marian; Topputo, Francesco 5 2013 A minimum principle for Lyapunov exponents and a higher-dimensional version of a theorem of Mañé. Zbl 1122.37024Cao, Yongluo; Luzzatto, Stefano; Rios, Isabel 5 2004 Corrections and complements to “Liouvillian integration of the Lotka-Volterra system”. Zbl 1137.34303Moulin-Ollagnier, Jean 5 2004 Global dynamics of mechanical systems with cubic potentials. Zbl 1134.70310Falconi, M.; Lacomba, E. A.; Vidal, C. 5 2002 A note on the conservation of energy and volume in the setting of nonholonomic mechanical systems. Zbl 1081.70009Kobayashi, Marcelo H.; Oliva, Waldyr M. 5 2003 On the entropy of conservative flows. Zbl 1209.37029Bessa, Mário; Varandas, Paulo 5 2011 Controlled invariant hypersurfaces of polynomial control systems. Zbl 1255.93043Zerz, Eva; Walcher, Sebastian 5 2012 On double boundary equilibrium bifurcations in piecewise smooth planar systems. Zbl 1264.34074Pagano, Daniel J.; Ponce, Enrique; Torres, Francisco 5 2011 Nilpotent systems admitting an algebraic inverse integrating factor over \(\mathbb{C}((x,y))\). Zbl 1267.34002Algaba, Antonio; García, Cristóbal; Reyes, Manuel 5 2011 Discrete-space systems of partial dynamic equations and discrete-space wave equation. Zbl 1408.34075Slavík, Antonín 5 2017 Solution of the problem of the centre for a cubic differential system with three invariant straight lines. Zbl 0994.34021Cozma, Dumitru; Şubă, Alexandru 5 2001 On the geometric structure of the class of planar quadratic differential systems. Zbl 1043.34035Roussarie, Robert; Schlomiuk, Dana 5 2002 Periodic structure of transversal maps on \(\mathbb C\mathrm P^n\), \(\mathbb H\mathrm P^n\) and \(\mathbb S^p\times\mathbb S^q\). Zbl 1417.37096Guirao, Juan Luis García; Llibre, Jaume 5 2013 Persistence of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings. Zbl 1339.37044Bi, Qiaoyan; Xu, Junxiang 5 2014 Global bifurcation for a class of planar Filippov systems with symmetry. Zbl 1364.34039Chen, Hebai 5 2016 Positive periodic solutions for a kind of first-order singular differential equation induced by impulses. Zbl 1402.34029Kong, Fanchao; Luo, Zhiguo 5 2018 The center problem for the Lotka reactions with generalized mass-action kinetics. Zbl 1402.34033Boros, Balázs; Hofbauer, Josef; Müller, Stefan; Regensburger, Georg 5 2018 Yet another class of new solvable \(N\)-body problems of goldfish type. Zbl 1421.70020Calogero, Francesco 5 2017 On the equiprobable strictly non-Volterra quadratic stochastic operators. Zbl 1390.37090Jamilov, U. U.; Ladra, M.; Mukhitdinov, R. T. 5 2017 Uniqueness of limit cycles for a class of planar vector fields. Zbl 1135.34022Carletti, Timoteo 5 2005 Solution of the problem of the centre for cubic differential system with three invariant straight lines in generic position. Zbl 1135.34020Şubă, Alexandru; Cozma, Dumitru 5 2005 Travelling wave solutions of the general regularized long wave equation. Zbl 07302071Zheng, Hang; Xia, Yonghui; Bai, Yuzhen; Wu, Luoyi 1 2021 Normal forms for manifolds of normally hyperbolic singularities and asymptotic properties of nearby transitions. Zbl 1467.34042Duignan, Nathan 1 2021 A unified analysis of exact traveling wave solutions for the fractional-order and integer-order Biswas-Milovic equation: via bifurcation theory of dynamical system. Zbl 1450.34008Zhang, Bei; Zhu, Wenjing; Xia, Yonghui; Bai, Yuzhen 8 2020 Global topological configurations of singularities for the whole family of quadratic differential systems. Zbl 1433.58030Artés, Joan C.; Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae 6 2020 Affine-periodic solutions for impulsive differential systems. Zbl 1451.34052Wang, Chuanbiao; Yang, Xue; Chen, Xusheng 3 2020 Pointwise recurrence on local dendrites. Zbl 1432.37033Askri, Ghassen; Naghmouchi, Issam 3 2020 Stability and bifurcation analysis of an amensalism model with weak allee effect. Zbl 1439.34056Wei, Zhen; Xia, Yonghui; Zhang, Tonghua 3 2020 Shadowing property and invariant measures having full supports. Zbl 07173471Moriyasu, Kazumine; Sakai, Kazuhiro; Sumi, Naoya 2 2020 Distributional chaos on uniform spaces. Zbl 1432.37035Shah, Sejal; Das, Tarun; Das, Ruchi 2 2020 Eventually shadowable points. Zbl 1432.37039Dong, Meihua; Jung, Woochul; Morales, Carlos 2 2020 Perturbation of a period annulus bounded by a saddle-saddle cycle in a hyperelliptic Hamiltonian systems of degree seven. Zbl 1446.34055Yang, Sumin; Qin, Bin; Xia, Guoen; Xia, Yong-Hui 2 2020 The ball-based origami theorem and a glimpse of holography for traversing flows. Zbl 1437.57032Katz, Gabriel 2 2020 A note on the Lyapunov and period constants. Zbl 1447.34030Cima, A.; Gasull, A.; Mañosas, F. 2 2020 A note on the periodic structure of transversal maps on the torus and products of spheres. Zbl 1444.37019Sirvent, Víctor F. 2 2020 Analysis of the predator-prey interactions: a stochastic model incorporating disease invasion. Zbl 1437.34058Feng, Tao; Meng, Xinzhu; Zhang, Tonghua; Qiu, Zhipeng 2 2020 Periodic orbits and global stability for a discontinuous SIR model with delayed control. Zbl 1446.34104Muqbel, Khalil; Vas, Gabriella; Röst, Gergely 2 2020 Qualitative analysis of the Nosé-Hoover oscillator. Zbl 1450.34026Han, Qianqian; Yang, Xiao-Song 1 2020 Some qualitative features of the isosceles trapezoidal four-body problem. Zbl 07173503Alvarez-Ramírez, Martha; Medina, Mario 1 2020 Extremal problems of the density for vibrating string equations with applications to gap and ratio of eigenvalues. Zbl 1456.34022Qi, Jiangang; Li, Jing; Xie, Bing 1 2020 Floquet theory for quaternion-valued differential equations. Zbl 1439.34019Cheng, Dong; Kou, Kit Ian; Xia, Yong Hui 1 2020 Normalization and existence of invariant ray solutions of a 2-DOF autonomous Hamiltonian system with null frequencies. Zbl 1436.37070Crespo, F.; Espejo, D. E.; Vidal, Claudio 1 2020 New homoclinic orbits for Hamiltonian systems with asymptotically quadratic growth at infinity. Zbl 1437.37077Wu, Dong-Lun; Yu, Xiang 1 2020 Existence of solitary wave solutions for a nonlinear fifth-order KdV equation. Zbl 1434.35164Li, Xiaofeng; Du, Zengji; Liu, Jiang 1 2020 The role of the saddle-foci on the structure of a Bykov attracting set. Zbl 1459.37026Bessa, Mário; Carvalho, Maria; Rodrigues, Alexandre A. P. 1 2020 The \(k\)-transformation on an interval with a hole. Zbl 1439.37045Agarwal, Nikita 1 2020 Topological conjugacy between induced non-autonomous set-valued systems and subshifts of finite type. Zbl 1437.37021Shao, Hua; Chen, Guanrong; Shi, Yuming 1 2020 Symmetry reductions, dynamical behavior and exact explicit solutions to a class of nonlinear shallow water wave equation. Zbl 1437.37101Chang, Lina; Liu, Hanze; Zhang, Lijun 1 2020 Hardy-Rogers type iterated function systems. Zbl 1435.28010Georgescu, Flavian; Miculescu, Radu; Mihail, Alexandru 1 2020 On the number of hyperelliptic limit cycles of Liénard systems. Zbl 1453.34045Qian, Xinjie; Yang, Jiazhong 1 2020 Existence and stability of weighted pseudo almost automorphic solution of dynamic equation on time scales with weighted Stepanov-like \((S^p)\) pseudo almost automorphic coefficients. Zbl 1439.34082Dhama, Soniya; Abbas, Syed 1 2020 A linear estimate of the number of limit cycles for a piecewise smooth near-Hamiltonian system. Zbl 1455.34037Chen, Xiaoyan; Han, Maoan 1 2020 Dynamics of a population with two equal dominated species. Zbl 1448.37123Rozikov, U. A.; Usmonov, J. B. 1 2020 Clark’s equation: a useful difference equation for population models, predictive control, and numerical approximations. Zbl 1448.37122Liz, Eduardo 1 2020 Long-time behavior of non-autonomous FitzHugh-Nagumo lattice systems. Zbl 1452.37074Wannan, Rania T.; Abdallah, Ahmed Y. 1 2020 Solitary waves and periodic waves in a perturbed KdV equation. Zbl 1454.34053Li, Hong; Sun, Hongquan; Zhu, Wenjing 1 2020 Limit cycle bifurcations in perturbations of a reversible quadratic system with a non-rational first integral. Zbl 1461.34063Xiong, Yanqin; Cheng, Rong; Li, Na 1 2020 Stability analysis of the first order non-linear impulsive time varying delay dynamic system on time scales. Zbl 1432.34116Shah, Syed Omar; Zada, Akbar; Hamza, Alaa E. 8 2019 Complete global stability of a metapopulation model and its dynamically consistent discrete models. Zbl 1419.37077Dang, Quang A.; Hoang, Manh Tuan 7 2019 Periodic solution and ergodic stationary distribution of SEIS dynamical systems with active and latent patients. Zbl 1426.34063Qi, Haokun; Leng, Xiaona; Meng, Xinzhu; Zhang, Tonghua 6 2019 Dynamical behavior of singular traveling waves of (\(n+1\))-dimensional nonlinear Klein-Gordon equation. Zbl 1418.34089Feng, Dahe; Li, Jibin; Jiao, Jianjun 5 2019 Nondegenerate and nilpotent centers for a cubic system of differential equations. Zbl 1416.34020Algaba, Antonio; García, Cristóbal; Giné, Jaume 4 2019 Time-dependent polynomials with one double root, and related new solvable systems of nonlinear evolution equations. Zbl 1457.37076Bihun, Oksana; Calogero, Francesco 3 2019 A new formula to get sharp global stability criteria for one-dimensional discrete-time models. Zbl 1429.39010Liz, Eduardo; Buedo-Fernández, Sebastián 3 2019 On non-ergodic Volterra cubic stochastic operators. Zbl 1443.37005Mukhamedov, Farrukh; Pah, Chin Hee; Rosli, Azizi 3 2019 A remark on sensitivity and Li-Yorke sensitivity of iterated function systems. Zbl 1415.37015Ma, Cuina; Zhu, Peiyong 2 2019 Exact solutions in invariant manifolds of some higher-order models describing nonlinear waves. Zbl 1439.34004Li, Jibin; Zhou, Yan 2 2019 Global dynamics of a piecewise smooth system for brain lactate metabolism. Zbl 1416.34038Françoise, J.-P.; Ji, Hongjun; Xiao, Dongmei; Yu, Jiang 2 2019 Bifurcation patterns in homogeneous area-preserving piecewise-linear maps. Zbl 1432.37005Garcia-Morato, Luis Benadero; Freire Macias, Emilio; Ponce Nuñez, Enrique; Torres Peral, Francisco 2 2019 Multiperiodicity to a certain delayed predator-prey model. Zbl 1432.34109Li, Yang-Yang; Zhuo, Xiang-Lai; Zhang, Feng-Xue 2 2019 Specification and thermodynamic properties of topological time-dependent dynamical systems. Zbl 1433.37023Sarkooh, Javad Nazarian; Ghane, F. H. 2 2019 Non hyperbolic solenoidal thick bony attractors. Zbl 1415.37030Zaj, M.; Ghane, F. H. 1 2019 Traveling wave solution of a reaction-diffusion predator-prey system. Zbl 1415.35165Liu, Jiang; Xu, Dongcheng; Du, Zengji 1 2019 Quantization of non-standard Hamiltonians and the Riemann zeros. Zbl 1420.81010El-Nabulsi, Rami Ahmad 1 2019 Validated numerics for continuation and bifurcation of connecting orbits of maps. Zbl 1418.37123Adams, Ronald; Mireles James, J. D. 1 2019 On families of periodic orbits in the restricted three-body problem. Zbl 1447.70006Kim, Seongchan 1 2019 A quasi separable dissipative Maxwell-Bloch system for laser dynamics. Zbl 1437.78006Gorni, Gianluca; Residori, Stefania; Zampieri, Gaetano 1 2019 On the asymptotic stability for nonlinear oscillators with time-dependent damping. Zbl 1429.34061Hatvani, L. 1 2019 Boundness and linearisation of a class of differential equations with piecewise constant argument. 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Zbl 1392.34052Buică, Adriana 6 2017 ...and 241 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,511 Authors 92 Llibre, Jaume 44 Giné, Jaume 33 Valls Anglés, Cláudia 28 Han, Maoan 27 Algaba, Antonio 22 Vulpe, Nicolae I. 22 Yu, Pei 21 García, Cristóbal 20 Gasull, Armengol 19 El-Nabulsi, Rami Ahmad 19 Schlomiuk, Dana I. 18 Wu, Yonghong 18 Zhang, Xiang 18 Zhang, Xinguang 15 García, Isaac A. 14 Artés, Joan Carles 14 Cui, Yujun 14 Reyes, Manuel 14 Zhang, Fuchen 13 Liu, Lishan 13 Torregrosa, Joan 12 Ferragut, Antoni 12 Li, Feng 12 Romanovski, Valery G. 12 Zada, Akbar 12 Zhao, Yulin 11 De Maesschalck, Peter 11 Grau, Maite 11 Liu, Changjian 11 Vidal, Claudio 10 Huzak, Renato 10 Liao, Xiaofeng 10 Liu, Yirong 10 Mireles-James, Jason D. 10 Teixeira, Marco Antonio 10 Zhao, Kaihong 9 Buică, Adriana 9 Devaney, Robert L. 9 Mello, Luis Fernando O. 9 Xia, Yonghui 9 Zhang, Guangyun 9 Zhao, Liqin 8 Alvarez-Ramírez, Martha 8 Chen, Hebai 8 Dumortier, Freddy 8 Jiang, Jiqiang 8 Maza, Susanna 8 Mu, Chunlai 8 Oliveira, Regilene D. S. 8 Sabatini, Marco 8 Sun, Xianbo 8 Wu, Xinxing 8 Xiong, Yanqin 8 Yang, Jihua 7 Buzzi, Claudio Aguinaldo 7 Christopher, Colin J. 7 Ferčec, Brigita 7 Fernandes, Antonio Carlos 7 Freire Macías, Emilio 7 Li, Jibin 7 Liang, Haihua 7 Tian, Yun 7 Walcher, Sebastian 7 Wang, Jinrong 6 Calogero, Francesco A. 6 Caubergh, Magdalena 6 Chèze, Guillaume 6 Cors, Josep Maria 6 Du, Zengji 6 Giacomini, Hector J. 6 Hoang, Manh Tuan 6 Li, Shimin 6 Mukhamedov, Farruh Maksutovich 6 Ponce, Enrique 6 Qin, Bin 6 Roussarie, Robert 6 Villadelprat, Jordi 6 Wang, Lidong 6 Xiao, Dongmei 6 Zhao, Wencai 6 Županović, Vesna 5 Bujac, Cristina 5 Chen, Yufu 5 Da Silva, Paulo Ricardo 5 Din, Qamar 5 Ferrer, Sebastián 5 García Guirao, Juan Luis 5 Guo, Laigang 5 Jiang, Fangfang 5 Kwietniak, Dominik 5 Li, Chengzhi 5 Liu, Wenjun 5 Meng, Xinzhu 5 Messias, Marcelo 5 Moulin Ollagnier, Jean 5 Pakovich, Fedor 5 Prohens, Rafel 5 Su, Guangwang 5 Wu, Yusen 5 Yang, Jiazhong ...and 1,411 more Authors all top 5 Cited in 240 Journals 142 Qualitative Theory of Dynamical Systems 95 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 94 Journal of Differential Equations 69 Journal of Mathematical Analysis and Applications 35 Advances in Difference Equations 25 Nonlinear Dynamics 24 Applied Mathematics and Computation 22 Bulletin des Sciences Mathématiques 20 Journal of Dynamics and Differential Equations 20 Nonlinear Analysis. 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Analyse Non Linéaire 4 Boundary Value Problems 4 International Journal of Biomathematics 3 Israel Journal of Mathematics 3 Mathematics of Computation 3 Archiv der Mathematik 3 Memoirs of the American Mathematical Society 3 Monatshefte für Mathematik 3 Journal of Symbolic Computation 3 Journal of Integral Equations and Applications 3 Topological Methods in Nonlinear Analysis 3 Journal of Mathematical Chemistry 3 Differential Equations and Dynamical Systems 3 Communications in Contemporary Mathematics 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Journal of Fixed Point Theory and Applications 3 Applied General Topology 3 Symmetry 3 Mathematics 3 Applied Mathematics and Nonlinear Sciences 2 International Journal of Control 2 International Journal of Theoretical Physics 2 Journal of the Franklin Institute 2 Journal of Statistical Physics 2 Linear and Multilinear Algebra 2 Mathematical Notes 2 Anais da Academia Brasileira de Ciências 2 Automatica 2 Geometriae Dedicata 2 Journal of Pure and Applied Algebra 2 Mathematics and Computers in Simulation 2 Chinese Annals of Mathematics. Series B 2 Stochastic Analysis and Applications 2 Acta Applicandae Mathematicae ...and 140 more Journals all top 5 Cited in 55 Fields 788 Ordinary differential equations (34-XX) 537 Dynamical systems and ergodic theory (37-XX) 153 Mechanics of particles and systems (70-XX) 94 Biology and other natural sciences (92-XX) 72 Partial differential equations (35-XX) 55 Operator theory (47-XX) 47 Real functions (26-XX) 46 Difference and functional equations (39-XX) 41 Systems theory; control (93-XX) 38 Numerical analysis (65-XX) 37 General topology (54-XX) 32 Algebraic geometry (14-XX) 30 Differential geometry (53-XX) 26 Global analysis, analysis on manifolds (58-XX) 18 Mechanics of deformable solids (74-XX) 16 Measure and integration (28-XX) 15 Commutative algebra (13-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 15 Probability theory and stochastic processes (60-XX) 14 Manifolds and cell complexes (57-XX) 14 Computer science (68-XX) 13 Combinatorics (05-XX) 13 Field theory and polynomials (12-XX) 13 Functions of a complex variable (30-XX) 13 Several complex variables and analytic spaces (32-XX) 13 Quantum theory (81-XX) 11 Fluid mechanics (76-XX) 10 Integral equations (45-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Special functions (33-XX) 8 Information and communication theory, circuits (94-XX) 7 Relativity and gravitational theory (83-XX) 6 Functional analysis (46-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Nonassociative rings and algebras (17-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Number theory (11-XX) 4 Topological groups, Lie groups (22-XX) 4 Algebraic topology (55-XX) 3 General and overarching topics; collections (00-XX) 3 Optics, electromagnetic theory (78-XX) 3 Astronomy and astrophysics (85-XX) 3 Operations research, mathematical programming (90-XX) 2 History and biography (01-XX) 2 Associative rings and algebras (16-XX) 2 Category theory; homological algebra (18-XX) 2 Group theory and generalizations (20-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 1 Mathematical logic and foundations (03-XX) 1 Abstract harmonic analysis (43-XX) Citations by Year