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Applicable Analysis
An International Journal
Volume 87, 2008 - Issue 2
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Original Articles

Limit cycles of some polynomial differential systems in dimension 2, 3 and 4, via averaging theory

Anna Cima Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain
,
Jaume Llibre Departamento de Matemática, Universidade Estadual de Campinas, Caixa Postal 6065, 13083-970, Campinas, S.P, BrazilCorrespondence[email protected]
&
Marco Antonio Teixeira Departamento de Matemática, Universidade Estadual de Campinas, Caixa Postal 6065, 13083-970, Campinas, S.P, Brazil
Pages 149-164 | Received 22 Dec 2006, Accepted 06 Jul 2007, Published online: 26 Feb 2008

Citations (14)

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Read on this site (2)

Jaume Llibre, Marco A. Teixeira & Iris O. Zeli. (2016) Birth of limit cycles for a class of continuous and discontinuous differential systems in (d + 2)–dimension. Dynamical Systems 31:3, pages 237-250.
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Jaume Llibre, Nabil Sellami & Amar Makhlouf . (2009) Limit cycles for a class of fourth-order differential equations. Applicable Analysis 88:12, pages 1617-1630.
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Articles from other publishers (12)

Tingting Quan, Jing Li, Min Sun & Yongqiang Chen. (2024) Bifurcation of Multiple Periodic Solutions for a Class of Nonlinear Dynamical Systems in $$(m+4)$$-Dimension. Journal of Nonlinear Mathematical Physics 31:1.
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Jing Li, Tingting Quan & Wei Zhang. (2018) Bifurcation and number of subharmonic solutions of a 4D non-autonomous slow–fast system and its application. Nonlinear Dynamics 92:2, pages 721-739.
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Zouhair Diab & Amar Makhlouf. (2016) Limit Cycles for the Class of -Dimensional Polynomial Differential Systems . Journal of Applied Mathematics 2016, pages 1-5.
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Shuangbao Li, Wensai Ma, Wei Zhang & Yuxin Hao. (2016) Melnikov Method for a Three-Zonal Planar Hybrid Piecewise-Smooth System and Application. International Journal of Bifurcation and Chaos 26:01, pages 1650014.
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Victoriano Carmona, Emilio Freire & Soledad Fernández-García. (2014) Periodic orbits and invariant cones in three-dimensional piecewise linear systems. Discrete and Continuous Dynamical Systems 35:1, pages 59-72.
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Isaac A. Garc?a & Benito Hern?ndez-Bermejo. (2014) Periodic orbits in analytically perturbed Poisson systems. Physica D: Nonlinear Phenomena 276, pages 1-6.
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Victoriano Carmona, Soledad Fern?ndez-Garc?a, Emilio Freire & Francisco Torres. (2013) Melnikov theory for a class of planar hybrid systems. Physica D: Nonlinear Phenomena 248, pages 44-54.
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B. Coll, A. Gasull & R. Prohens. (2012) Periodic orbits for perturbed non-autonomous differential equations. Bulletin des Sciences Math?matiques 136:7, pages 803-819.
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Victoriano Carmona, Soledad Fernández-García & Emilio Freire. (2011) Periodic orbits for perturbations of piecewise linear systems. Journal of Differential Equations 250:4, pages 2244-2266.
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Isaac A. Garc?a & Benito Hern?ndez-Bermejo. (2010) Perturbed Euler top and bifurcation of limit cycles on invariant Casimir surfaces. Physica D: Nonlinear Phenomena 239:17, pages 1665-1669.
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Jaume Llibre & Amar Makhlouf. (2009) Limit cycles of polynomial differential systems bifurcating from the periodic orbits of a linear differential system in . Bulletin des Sciences Mathématiques 133:6, pages 578-587.
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Maoan Han & Shumin Li. (2009) Perturbations of parallel flows on the sphere in . Journal of Mathematical Analysis and Applications 351:1, pages 224-231.
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