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: 707 Publications (since 2000) References Indexed: 670 Publications with 15,708 References. all top 5 Latest Issues 21, No. 3 (2022) 21, No. 2 (2022) 21, No. 1 (2022) 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 14 Xia, Yonghui 11 Vidal, Claudio 10 Gasull, Armengol 9 Giné, Jaume 9 Valls Anglés, Cláudia 7 García Guirao, Juan Luis 7 Lacomba, Ernesto A. 7 Vulpe, Nicolae I. 6 Algaba, Antonio 6 Falconi, Manuel J. 6 Han, Maoan 6 Li, Jibin 6 Pérez-Chavela, Ernesto 6 Roussarie, Robert 6 Rousseau, Christiane 6 Schlomiuk, Dana I. 6 Zada, Akbar 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 Sun, Taixiang 5 Wang, Jinrong 5 Xi, Hongjian 5 Yang, Xiaosong 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 Wu, Xinxing 4 Xu, Junxiang 4 Yang, Jiazhong 4 Yang, Jihua 3 Anderson, Douglas Robert 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 Kong, Fanchao 3 Ladra González, Manuel 3 Leta, Temesgen Desta 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 Meng, Xinzhu 3 Misiurewicz, Michał 3 Molero, Francisco Javier 3 Mukhamedov, Farruh Maksutovich 3 Nieto Roig, Juan Jose 3 Piña, Eduardo G. 3 Qin, Bin 3 Rabanal, Roland 3 Rozikov, Utkir A. 3 Ruas, Antonio Augusto Gaspar 3 Saker, Samir H. 3 Simó, Carles 3 Sirvent, Víctor F. 3 Sotomayor, Jorge 3 Sugie, Jitsuro 3 Tal, Fábio Armando 3 Torregrosa, Joan 3 Vera López, Juan Antonio 3 Villadelprat, Jordi 3 Walcher, Sebastian 3 Yomdin, Yosef 3 Yu, Jiang 3 Zhang, Tonghua 3 Zhu, Wenjing 2 Abbas, Syed ...and 915 more Authors all top 5 Fields 351 Ordinary differential equations (34-XX) 345 Dynamical systems and ergodic theory (37-XX) 110 Mechanics of particles and systems (70-XX) 55 Partial differential equations (35-XX) 52 Biology and other natural sciences (92-XX) 42 Operator theory (47-XX) 28 Difference and functional equations (39-XX) 23 Differential geometry (53-XX) 23 General topology (54-XX) 16 Global analysis, analysis on manifolds (58-XX) 14 Probability theory and stochastic processes (60-XX) 14 Numerical analysis (65-XX) 12 Real functions (26-XX) 11 Algebraic geometry (14-XX) 11 Measure and integration (28-XX) 11 Several complex variables and analytic spaces (32-XX) 11 Manifolds and cell complexes (57-XX) 10 Fluid mechanics (76-XX) 9 Systems theory; control (93-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 6 Integral equations (45-XX) 5 Commutative algebra (13-XX) 5 Special functions (33-XX) 4 General and overarching topics; collections (00-XX) 4 Combinatorics (05-XX) 4 Functions of a complex variable (30-XX) 4 Quantum theory (81-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Number theory (11-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Nonassociative rings and algebras (17-XX) 3 Topological groups, Lie groups (22-XX) 3 Abstract harmonic analysis (43-XX) 3 Algebraic topology (55-XX) 3 Relativity and gravitational theory (83-XX) 2 History and biography (01-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Geometry (51-XX) 2 Computer science (68-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 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-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 403 Publications have been cited 1,844 times in 1,563 Documents Cited by ▼ Year ▼ Exact iterative solution for an abstract fractional dynamic system model for bioprocess. Zbl 1454.34023Zhang, Xinguang; Mao, Cuiling; Liu, Lishan; Wu, Yonghong 46 2017 New results on the study of \(Z_q\)-equivariant planar polynomial vector fields. Zbl 1213.34059Li, Jibin; Liu, Yirong 45 2010 Liouvillian integration of the Lotka-Volterra system. Zbl 1084.34001Moulin Ollagnier, Jean 32 2002 Equivalence of the Melnikov function method and the averaging method. Zbl 1377.34056Han, Maoan; Romanovski, Valery G.; Zhang, Xiang 32 2016 Planar quadratic vector fields with invariant lines of total multiplicity at least five. Zbl 1101.34016Schlomiuk, Dana; Vulpe, Nicolae 31 2004 Isochronicity via normal form. Zbl 1021.34022Algaba, Antonio; Freire, Emilio; Gamero, Estanislao 27 2000 Abelian integrals and limit cycles. Zbl 1270.34004Li, Chengzhi 27 2012 On the Darboux integrability of polynomial differential systems. Zbl 1266.34002Llibre, Jaume; Zhang, Xiang 27 2012 Normalizable, integrable and linearizable saddle points in the Lotka-Volterra system. Zbl 1100.34022Christopher, Colin; Rousseau, Christiane 27 2004 Non-linear dynamics with non-standard Lagrangians. Zbl 1322.37037El-Nabulsi, Ahmad Rami 26 2013 A survey on the inverse integrating factor. Zbl 1364.34005García, Isaac A.; Grau, Maite 25 2010 The chain properties and average shadowing property of iterated function systems. Zbl 1392.37009Wu, Xinxing; Wang, Lidong; Liang, Jianhua 23 2018 Existence of positive solutions for a class of higher-order Caputo fractional differential equation. Zbl 1366.34013Zhao, Kaihong; Gong, Ping 22 2015 Slow divergence integral and balanced canard solutions. Zbl 1215.34063Dumortier, Freddy 22 2011 Structurally stable discontinuous vector fields in the plane. Zbl 1047.37011Sotomayor, Jorge; Machado, Ana Lúcia F. 22 2002 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. 20 2002 Uniform stability of a laminated beam with structural memory. Zbl 1383.74056Lo, Assane; Tatar, Nasser-eddine 20 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 20 2018 On the geometry in the neighbourhood of infinity of quadratic differential systems with a weak focus. Zbl 0989.34018Schlomiuk, Dana; Pal, Janos 19 2001 Non-standard non-local-in-time Lagrangians in classical mechanics. Zbl 1305.70043El-Nabulsi, Rami Ahmad 17 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. 15 2009 Centers for trigonometric Abel equations. Zbl 1264.34055Cima, Anna; Gasull, Armengol; Mañosas, Francesc 15 2012 Approximate controllability of fractional neutral stochastic functional integro-differential inclusions with infinite delay. Zbl 1379.34072Guendouzi, Toufik; Bousmaha, Lamia 14 2014 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 Complete global stability of a metapopulation model and its dynamically consistent discrete models. Zbl 1419.37077Dang, Quang A.; Hoang, Manh Tuan 14 2019 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. 13 2019 Parameterized IFS with the asymptotic average shadowing property. Zbl 1372.37054Fatehi Nia, Mehdi 13 2016 A new algorithm for finding rational first integrals of polynomial vector fields. Zbl 1216.34001Ferragut, Antoni; Giacomini, Héctor 13 2010 Stability for a new discrete ratio-dependent predator-prey system. Zbl 1394.37122Zhuo, Xiang-Lai; Zhang, Feng-Xue 13 2018 Two tight independent set conditions for fractional \((g,f,m)\)-deleted graphs systems. Zbl 1390.05162Gao, Wei; García Guirao, Juan Luis; Wu, Hualong 13 2018 Cantor necklaces and structurally unstable Sierpinski curve Julia sets for rational maps. Zbl 1122.37033Devaney, Robert L. 12 2004 Center conditions for polynomial Liénard systems. Zbl 1392.34027Giné, Jaume 12 2017 On the vanishing set of inverse integrating factors. Zbl 1032.34027Berrone, Lucio R.; Giacomini, Hector J. 12 2000 Period function for perturbed isochronous centres. Zbl 1087.34021Freire, Emilio; Gasull, Armengol; Guillamon, Antoni 12 2002 On local diffeomorphisms of \(\mathbb{R}^n\) that are injective. Zbl 1067.37019Fernandes, Alexandre; Gutierrez, Carlos; Rabanal, Roland 12 2003 Regular and singular reductions in the spatial three-body problem. Zbl 1282.70016Palacián, Jesús F.; Sayas, Flora; Yanguas, Patricia 11 2013 On the existence of central configurations of \(p\) nested \(n\)-gons. Zbl 1195.70018Corbera, Montserrat; Delgado, Joaquin; Llibre, Jaume 11 2010 On stacked planar central configurations with five bodies when one body is removed. Zbl 1345.70016Fernandes, Antonio Carlos; Mello, Luis Fernando 11 2013 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 11 2020 Cyclicity versus center problem. Zbl 1210.34049Gasull, Armengol; Giné, Jaume 11 2010 Stacked central configurations for the spatial seven-body problem. Zbl 1282.70021Mello, Luis Fernando; Fernandes, Antonio Carlos 10 2013 Limit cycles bifurcated from a reversible quadratic center. Zbl 1142.34019Li, Jinming 10 2005 Non-ergodicity of uniform quadratic stochastic operators. Zbl 1344.37093Jamilov, Uygun; Ladra, Manuel 10 2016 Qualitative classification of singular points. Zbl 1131.34304Jiang, Qibao; Llibre, Jaume 9 2005 Generalized Liénard equations, cyclicity and Hopf-Takens bifurcations. Zbl 1131.34308Caubergh, Magdalena; Françoise, Jean-Pierre 9 2004 Melnikov functions and Bautin ideal. Zbl 1081.37030Roussarie, Robert 9 2001 A note on the convergence of parametrised non-resonant invariant manifolds. Zbl 1209.37028Johnson, Tomas; Tucker, Warwick 9 2011 Hilbert’s sixteenth problem for polynomial Liénard equations. Zbl 1272.34002Caubergh, Magdalena 9 2012 Periodic perturbations of an isochronous center. Zbl 1043.34049Ortega, Rafael 9 2002 The period function for second-order quadratic ODEs is monotone. Zbl 1074.34033Gasull, Armengol; Guillamon, Antoni; Villadelprat, Jordi 9 2003 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 9 2019 Global stability of Beddington model. Zbl 1383.92065Din, Qamar 9 2017 Quadratic perturbations of a quadratic reversible Lotka-Volterra system. Zbl 1213.34071Li, Chengzhi; Llibre, Jaume 9 2010 On the equivalence of the Melnikov functions method and the averaging method. Zbl 1392.34052Buică, Adriana 9 2017 Algebraic closure of a rational function. Zbl 1121.13301Moulin Ollagnier, Jean 8 2004 Structural stability of planar quasihomogeneous vector fields. Zbl 1318.34076Oliveira, Regilene; Zhao, Yulin 8 2014 Limit cycles for planar piecewise linear differential systems via first integrals. Zbl 1047.34021Llibre, Jaume; Nuñez, Eduardo; Teruel, Antonio E. 8 2002 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 2-D Duffing oscillator: elliptic functions from a dynamical systems point of view. Zbl 1270.33011Molero, Francisco Javier; Lara, Martín; Ferrer, Sebastián; Céspedes, Francisco 7 2013 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 A note on higher order Melnikov functions. Zbl 1144.34024Jebrane, Ahmed; Żołądek, Henryk 7 2005 Perturbation of a period annulus bounded by a heteroclinic loop connecting two hyperbolic saddles. Zbl 1385.37077Sun, Xianbo 7 2017 Cubic Liénard equations with quadratic damping having two antisaddles. Zbl 1025.34029Dumortier, Freddy; Kooij, Robert E.; Li, Chengzhi 7 2000 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 7 2013 On the distribution and number of limit cycles for quadratic systems with two foci. Zbl 1050.34036Zhang, Pingguang 7 2002 \(n-1\) independent first integrals for linear differential systems in \(\mathbb{R}^n\) or \(\mathbb{C}^n\). Zbl 1090.34002Falconi, Manuel; Llibre, Jaume 7 2003 Convex energy levels of Hamiltonian systems. Zbl 1065.37044Salomão, Pedro A. S. 7 2003 Global topological configurations of singularities for the whole family of quadratic differential systems. Zbl 1433.58030Artés, Joan C.; Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae 7 2020 The fixed point approach to the stability of fractional differential equations with causal operators. Zbl 1343.34016Jiang, Jingfei; Cao, Dengqing; Chen, Huatao 7 2016 Uniqueness of limit cycles for a class of planar vector fields. Zbl 1135.34022Carletti, Timoteo 6 2005 Positive periodic solutions for a kind of first-order singular differential equation induced by impulses. Zbl 1402.34029Kong, Fanchao; Luo, Zhiguo 6 2018 The center problem for the Lotka reactions with generalized mass-action kinetics. Zbl 1402.34033Boros, Balázs; Hofbauer, Josef; Müller, Stefan; Regensburger, Georg 6 2018 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 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 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 Canard cycles of finite codimension with two breaking parameters. Zbl 1261.34044Mamouhdi, Lylia; Roussarie, Robert 6 2012 Nilpotent systems admitting an algebraic inverse integrating factor over \(\mathbb{C}((x,y))\). Zbl 1267.34002Algaba, Antonio; García, Cristóbal; Reyes, Manuel 6 2011 Computing simplest normal forms for the Takens-Bogdanov singularity. Zbl 1050.34052Algaba, Antonio 6 2002 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 On non-ergodic Volterra cubic stochastic operators. Zbl 1443.37005Mukhamedov, Farrukh; Pah, Chin Hee; Rosli, Azizi 6 2019 Stability and bifurcation analysis of an amensalism model with weak allee effect. Zbl 1439.34056Wei, Zhen; Xia, Yonghui; Zhang, Tonghua 6 2020 Dynamical behavior of singular traveling waves of (\(n+1\))-dimensional nonlinear Klein-Gordon equation. Zbl 1418.34089Feng, Dahe; Li, Jibin; Jiao, Jianjun 6 2019 Canards existence in Memristor’s circuits. Zbl 1370.34111Ginoux, Jean-Marc; Llibre, Jaume 6 2016 Geometry of weak stability boundaries. Zbl 1270.70027Belbruno, Edward A.; Gidea, Marian; Topputo, Francesco 5 2013 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 Maximal invariant sets for restrictions of tent and unimodal maps. Zbl 1064.37033Moreira, Carlos Gustavo 5 2002 Global dynamics of mechanical systems with cubic potentials. Zbl 1134.70310Falconi, M.; Lacomba, E. A.; Vidal, C. 5 2002 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 Box dimension of spiral trajectories of some vector fields in \(\mathbb R^3\). Zbl 1220.37034Žubrinić, Darko; Županović, Vesna 5 2005 Persistence of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings. Zbl 1339.37044Bi, Qiaoyan; Xu, Junxiang 5 2014 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 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 On the geometric structure of the class of planar quadratic differential systems. Zbl 1043.34035Roussarie, Robert; Schlomiuk, Dana 5 2002 Nonequilibrium in thermodynamic formalism: the second law, gases and information geometry. Zbl 07452050Lopes, A. O.; Ruggiero, R. 2 2022 Existence of Gibbs states and maximizing measures on a general one-dimensional lattice system with Markovian structure. Zbl 07434854Souza, Rafael Rigão; Vargas, Victor 1 2022 Noninstantaneous impulsive conformable fractional stochastic delay integro-differential system with Rosenblatt process and control function. Zbl 1480.93033Ahmed, Hamdy M. 1 2022 Qualitative analysis of the dynamic for the nonlinear Korteweg-de Vries equation with a boundary memory. Zbl 1467.35278Chentouf, Boumediène 4 2021 Topological average shadowing property on uniform spaces. Zbl 1470.37032Pirfalak, Farzaneh; Ahmadi, Seyyed Alireza; Wu, Xinxing; Kouhestani, Nader 3 2021 On the number of limit cycles in general planar piecewise linear differential systems with two zones having two real equilibria. Zbl 1461.34027Huan, Song-Mei 2 2021 Travelling wave solutions of the general regularized long wave equation. Zbl 1472.34006Zheng, Hang; Xia, Yonghui; Bai, Yuzhen; Wu, Luoyi 2 2021 The existence of Aubry-Mather sets for the Fermi-Ulam model. Zbl 1464.37050Cao, Zhenbang; Grebogi, Celso; Li, Denghui; Xie, Jianhua 2 2021 Dynamical behavior of traveling wave solutions for a \((2+1)\)-dimensional Bogoyavlenskii coupled system. Zbl 1460.37068Leta, Temesgen Desta; Liu, Wenjun; Achab, Abdelfattah El; Rezazadeh, Hadi; Bekir, Ahmet 2 2021 Global effect of non-conservative perturbations on homoclinic orbits. Zbl 1459.37050Gidea, Marian; de la Llave, Rafael; Musser, Maxwell 1 2021 Keplerian orbits through the Conley-Zehnder index. Zbl 07302073Kavle, Henry; Offin, Daniel; Portaluri, Alessandro 1 2021 Polynomial entropy for interval maps and lap number. Zbl 1468.37038Barbosa Gomes, José; Dias Carneiro, Mário Jorge 1 2021 Normal forms for manifolds of normally hyperbolic singularities and asymptotic properties of nearby transitions. Zbl 1467.34042Duignan, Nathan 1 2021 Periodic points of regular curve homeomorphisms. Zbl 1470.37036Daghar, Aymen; Naghmouchi, Issam; Riahi, Moncef 1 2021 Quaternion-valued linear impulsive differential equations. Zbl 1470.34039Suo, Leping; Fečkan, Michal; Wang, JinRong 1 2021 Families of symmetric exchange orbits in the planar \((1+2n)\)-body problem. Zbl 07358628Bengochea, Abimael; Galán-Vioque, Jorge; Pérez-Chavela, Ernesto 1 2021 Metric versus topological receptive entropy of semigroup actions. Zbl 1475.37023Biś, Andrzej; Dikranjan, Dikran; Giordano Bruno, Anna; Stoyanov, Luchezar 1 2021 Traveling wave solutions of generalized Dullin-Gottwald-Holm equation with parabolic law nonlinearity. Zbl 1477.34064Zhang, Yijian; Xia, Yonghui 1 2021 Hetero-Bäcklund transformation, bilinear forms and \(N\) solitons for a generalized three-coupled Korteweg-de Vries system. Zbl 1477.35218Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui 1 2021 Analytical traveling wave and soliton solutions of the \((2+1)\) dimensional generalized Burgers-Huxley equation. Zbl 1481.34006Leta, Temesgen Desta; Liu, Wenjun; Rezazadeh, Hadi; Ding, Jian; El Achab, Abdelfattah 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 11 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 7 2020 Stability and bifurcation analysis of an amensalism model with weak allee effect. Zbl 1439.34056Wei, Zhen; Xia, Yonghui; Zhang, Tonghua 6 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 5 2020 Affine-periodic solutions for impulsive differential systems. Zbl 1451.34052Wang, Chuanbiao; Yang, Xue; Chen, Xusheng 4 2020 Shadowing property and invariant measures having full supports. Zbl 1473.37022Moriyasu, Kazumine; Sakai, Kazuhiro; Sumi, Naoya 4 2020 A note on the periodic structure of transversal maps on the torus and products of spheres. Zbl 1444.37019Sirvent, Víctor F. 4 2020 A linear estimate of the number of limit cycles for a piecewise smooth near-Hamiltonian system. Zbl 1455.34037Chen, Xiaoyan; Han, Maoan 4 2020 Analysis of the predator-prey interactions: a stochastic model incorporating disease invasion. Zbl 1437.34058Feng, Tao; Meng, Xinzhu; Zhang, Tonghua; Qiu, Zhipeng 4 2020 Pointwise recurrence on local dendrites. Zbl 1432.37033Askri, Ghassen; Naghmouchi, Issam 3 2020 New homoclinic orbits for Hamiltonian systems with asymptotically quadratic growth at infinity. Zbl 1437.37077Wu, Dong-Lun; Yu, Xiang 3 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 3 2020 A note on the Lyapunov and period constants. Zbl 1447.34030Cima, A.; Gasull, A.; Mañosas, F. 3 2020 Global behavior and bifurcation in a class of host-parasitoid models with a constant host refuge. Zbl 1441.39016Kalabušić, S.; Drino, Dž.; Pilav, E. 3 2020 Distributional chaos on uniform spaces. Zbl 1432.37035Shah, Sejal; Das, Tarun; Das, Ruchi 2 2020 Mild solution of second-order impulsive integro-differential evolution equations of Volterra type in Banach spaces. Zbl 1450.34054Hao, Xinan; Liu, Lishan 2 2020 Eventually shadowable points. Zbl 1432.37039Dong, Meihua; Jung, Woochul; Morales, Carlos 2 2020 Existence of solitary wave solutions for a nonlinear fifth-order KdV equation. Zbl 1434.35164Li, Xiaofeng; Du, Zengji; Liu, Jiang 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 Topological conjugacy between induced non-autonomous set-valued systems and subshifts of finite type. Zbl 1437.37021Shao, Hua; Chen, Guanrong; Shi, Yuming 2 2020 The ball-based origami theorem and a glimpse of holography for traversing flows. Zbl 1437.57032Katz, Gabriel 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 1472.70028Alvarez-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 Existence and uniqueness of homoclinic solution for a Rayleigh equation with a singularity. Zbl 1437.34053Lu, Shiping; Jia, Xuewen 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 Iterated means dichotomy for discrete dynamical systems. Zbl 1453.37006Saburov, Mansoor 1 2020 The dynamics of a kind of Liénard system with sixth degree and its limit cycle bifurcations under perturbations. Zbl 1447.34032Han, Maoan; Yang, Junmin 1 2020 The geometrical demonstration of the order of resonant saddle points in \(\mathbb{C}^2\). Zbl 1439.34080Wu, Hao; Xu, Shoujun 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 Minimizers for the Kepler problem. Zbl 1462.70006Montgomery, Richard 1 2020 A Reeb flow on the three-sphere without a disk-like global surface of Section. Zbl 1437.53059van Koert, Otto 1 2020 Hardy-Rogers type iterated function systems. 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Zbl 1431.34043Yang, Jihua; Sui, Shiyou; Zhao, Liqin 1 2019 ...and 303 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,787 Authors 98 Llibre, Jaume 46 Giné, Jaume 35 Valls Anglés, Cláudia 34 Han, Maoan 28 Algaba, Antonio 24 El-Nabulsi, Rami Ahmad 22 García, Cristóbal 22 Vulpe, Nicolae I. 22 Yu, Pei 21 Wu, Yonghong 20 Gasull, Armengol 20 Zhang, Xinguang 19 Schlomiuk, Dana I. 18 Zhang, Xiang 17 Liu, Lishan 16 Cui, Yujun 16 García, Isaac A. 16 Torregrosa, Joan 15 Reyes, Manuel 15 Zada, Akbar 14 Artés, Joan Carles 14 Xia, Yonghui 14 Zhang, Fuchen 13 Ferragut, Antoni 13 Liu, Changjian 12 Li, Feng 12 Vidal, Claudio 12 Zhao, Yulin 11 De Maesschalck, Peter 11 Grau, Maite 11 Hoang, Manh Tuan 11 Huzak, Renato 11 Romanovski, Valery G. 11 Wang, Jinrong 11 Zhao, Kaihong 11 Zhao, Liqin 10 Devaney, Robert L. 10 Liao, Xiaofeng 10 Liu, Yirong 10 Mireles-James, Jason D. 10 Teixeira, Marco Antonio 10 Wu, Xinxing 9 Buică, Adriana 9 Christopher, Colin J. 9 Mello, Luis Fernando O. 9 Oliveira, Regilene D. S. 9 Xiong, Yanqin 9 Zhang, Guangyun 8 Alvarez-Ramírez, Martha 8 Buzzi, Claudio Aguinaldo 8 Chen, Hebai 8 Dumortier, Freddy 8 Fernandes, Antonio Carlos 8 Jiang, Jiqiang 8 Liang, Haihua 8 Maza, Susanna 8 Mu, Chunlai 8 Sabatini, Marco 8 Sun, Xianbo 8 Yang, Jihua 7 Apalara, Tijani Abdulaziz 7 Ferčec, Brigita 7 Freire Macías, Emilio 7 Jamilov, Uygun U. 7 Li, Jibin 7 Qin, Bin 7 Tian, Yun 7 Walcher, Sebastian 7 Zhao, Wencai 6 Calogero, Francesco A. 6 Caubergh, Magdalena 6 Chen, Xingwu 6 Chèze, Guillaume 6 Cors, Josep Maria 6 Das, Ruchi 6 Du, Zengji 6 García Guirao, Juan Luis 6 Giacomini, Hector J. 6 Guo, Laigang 6 Li, Shimin 6 Liu, Jiang 6 Liu, Wenjun 6 Mukhamedov, Farruh Maksutovich 6 Ponce, Enrique 6 Roussarie, Robert 6 Su, Guangwang 6 Villadelprat, Jordi 6 Wang, Lidong 6 Wu, Yusen 6 Xiao, Dongmei 6 Županović, Vesna 5 Bai, Yuzhen 5 Bujac, Cristina 5 Chen, Yufu 5 Corbera, Montserrat 5 Da Silva, Paulo Ricardo 5 Din, Qamar 5 Egbelowo, Oluwaseun Francis 5 Ferrer, Sebastián 5 Jiang, Fangfang ...and 1,687 more Authors all top 5 Cited in 270 Journals 168 Qualitative Theory of Dynamical Systems 106 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 101 Journal of Differential Equations 70 Journal of Mathematical Analysis and Applications 47 Advances in Difference Equations 26 Applied Mathematics and Computation 25 Nonlinear Dynamics 24 Bulletin des Sciences Mathématiques 23 Chaos, Solitons and Fractals 23 Celestial Mechanics and Dynamical Astronomy 23 Journal of Dynamics and Differential Equations 22 Discrete and Continuous Dynamical Systems. 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Analyse Non Linéaire 4 Journal of Mathematical Chemistry 4 Communications in Contemporary Mathematics 4 Mathematical Modelling and Analysis 4 Journal of Applied Mathematics and Computing 4 Open Mathematics 3 Acta Mechanica 3 International Journal of Theoretical Physics 3 Israel Journal of Mathematics 3 Journal of Statistical Physics 3 Mathematics of Computation 3 Archiv der Mathematik 3 Geometriae Dedicata 3 Memoirs of the American Mathematical Society 3 Monatshefte für Mathematik 3 Acta Applicandae Mathematicae 3 Acta Mathematicae Applicatae Sinica. English Series 3 Journal of Symbolic Computation 3 Journal of Integral Equations and Applications 3 Differential Equations and Dynamical Systems 3 Taiwanese Journal of Mathematics 3 Lobachevskii Journal of Mathematics 3 Hacettepe Journal of Mathematics and Statistics 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Proyecciones ...and 170 more Journals all top 5 Cited in 57 Fields 899 Ordinary differential equations (34-XX) 631 Dynamical systems and ergodic theory (37-XX) 177 Mechanics of particles and systems (70-XX) 120 Biology and other natural sciences (92-XX) 104 Partial differential equations (35-XX) 73 Operator theory (47-XX) 61 Real functions (26-XX) 56 Difference and functional equations (39-XX) 50 Numerical analysis (65-XX) 50 Systems theory; control (93-XX) 48 General topology (54-XX) 37 Algebraic geometry (14-XX) 30 Differential geometry (53-XX) 26 Global analysis, analysis on manifolds (58-XX) 22 Mechanics of deformable solids (74-XX) 21 Probability theory and stochastic processes (60-XX) 20 Measure and integration (28-XX) 18 Combinatorics (05-XX) 17 Manifolds and cell complexes (57-XX) 17 Fluid mechanics (76-XX) 16 Functions of a complex variable (30-XX) 15 Commutative algebra (13-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 15 Quantum theory (81-XX) 14 Several complex variables and analytic spaces (32-XX) 14 Computer science (68-XX) 13 Field theory and polynomials (12-XX) 11 Integral equations (45-XX) 11 Statistical mechanics, structure of matter (82-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Nonassociative rings and algebras (17-XX) 9 Special functions (33-XX) 8 Algebraic topology (55-XX) 8 Information and communication theory, circuits (94-XX) 7 Number theory (11-XX) 7 Functional analysis (46-XX) 7 Relativity and gravitational theory (83-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Astronomy and astrophysics (85-XX) 4 General and overarching topics; collections (00-XX) 4 Topological groups, Lie groups (22-XX) 4 Optics, electromagnetic theory (78-XX) 3 Integral transforms, operational calculus (44-XX) 3 Statistics (62-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 Abstract harmonic analysis (43-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 1 Mathematical logic and foundations (03-XX) 1 Geophysics (86-XX) Citations by Year