Abel-like differential equations with a unique limit cycle-Reference-Cited by-同舟云学术

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Abel-like differential equations with a unique limit cycle

Published:2011-07 Issue:11 Volume:74 Page:3694-3702
ISSN:0362-546X
Container-title:Nonlinear Analysis: Theory, Methods & Applications
language:en
Short-container-title:Nonlinear Analysis: Theory, Methods & Applications

Author:

Álvarez M.J.,Bravo J.L.,Fernández M.

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference17 articles.

1. On the number of solutions of the equation dxdt=∑j=0naj(t)xj,0≤t≤1, for which x(0)=x(1);Lins Neto;Invent. Math.,1980

2. Centennial history of Hilbert’s 16th problem;Ilyashenko;Bull. Amer. Math. Soc.,2002

3. Cubic systems and Abel equations;Devlin;J. Differential Equations,1998

4. Limit cycles for rigid cubic systems;Gasull;J. Math. Anal. Appl.,2005

5. Some results on rigid systems;Gasull,2005

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Characterization of the Existence of Non-trivial Limit Cycles for Generalized Abel Equations;Qualitative Theory of Dynamical Systems;2021-02-04

2. Periodic solutions of Abel equations with jumps;Journal of Mathematical Analysis and Applications;2019-04

3. Existence of non-trivial limit cycles in Abel equations with symmetries;Nonlinear Analysis: Theory, Methods & Applications;2013-06

4. Limit cycles of non-autonomous scalar ODEs with two summands;Communications on Pure and Applied Analysis;2012-09

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