Non-existence and uniqueness of limit cycles for planar polynomial differential systems with homogeneous nonlinearities-Reference-Cited by-同舟云学术

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Non-existence and uniqueness of limit cycles for planar polynomial differential systems with homogeneous nonlinearities

Published:2018-11 Issue:9 Volume:265 Page:3888-3913
ISSN:0022-0396
Container-title:Journal of Differential Equations
language:en
Short-container-title:Journal of Differential Equations

Author:

Huang Jianfeng,Liang Haihua^ORCID,Llibre Jaume^ORCID

Funder

NSF of China

China Scholarship Council

Fundamental Research Funds for the Central Universities

NSF of Guangdong Province

Excellent Young Teachers Training Program for colleges and universities of Guangdong Province, China

FEDER-MINECO

MINECO

AGAUR

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference40 articles.

1. Estimates on the number of limit cycles of a generalized Abel equation;Alkoumi;Discrete Contin. Dyn. Syst. Ser. A,2011

2. Limit cycles of Abel equations of the first kind;Álvarez;J. Math. Anal. Appl.,2015

3. Existence of non-trivial limit cycles in Abel equations with symmetries;Álvarez;Nonlinear Anal., Theory Methods Appl.,2013

4. A new uniqueness criterion for the number of periodic orbits of Abel equations;Álvarez;J. Differential Equations,2007

5. Limit cycles of polynomial differential equations with quintic homogeneous nonlinearities;Benterki;J. Math. Anal. Appl.,2013

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1. Estimates for the number of limit cycles of the planar polynomial differential systems with homogeneous nonlinearities;Journal of Differential Equations;2024-08

2. Global planar dynamics with a star node and contracting nonlinearity;Research in the Mathematical Sciences;2024-03-07

3. Periodic orbits in piecewise Riccati vector fields;Discrete and Continuous Dynamical Systems - B;2023

4. On the uniqueness of limit cycles for generalized Liénard systems;Open Mathematics;2023-01-01

5. A new Chebyshev criterion and its application to planar differential systems;Journal of Differential Equations;2023-01

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