Limit cycles in piecewise polynomial systems allowing a non-regular switching boundary-Reference-Cited by-同舟云学术

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Limit cycles in piecewise polynomial systems allowing a non-regular switching boundary

Published:2021-05 Issue: Volume:419 Page:132855
ISSN:0167-2789
Container-title:Physica D: Nonlinear Phenomena
language:en
Short-container-title:Physica D: Nonlinear Phenomena

Author:

Li Tao,Llibre Jaume^ORCID

Funder

Agència de Gestió d’Ajuts Universitaris i de Recerca

H2020 European Research Council

China Scholarship Council

Ministerio de Ciencia, Innovación y Universidades

Publisher

Elsevier BV

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Reference36 articles.

1. Ten problems;Arnold;Adv. Soviet Math.,1990

2. The number of limit cycles due to polynomial perturbations of the harmonic oscillator;Iliev;Math. Proc. Cambridge Philos. Soc.,1999

3. Hilbert’s 16th problem and bifurcations of planar polynomial vector fields;Li;Int. J. Bifurcation Chaos,2003

4. A relation between small amplitude and big limit cycles;Gasull;Rocky. Mountain J. Math.,2001

5. On Liénard equations;Lins Neto,1977

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1. Limit cycles bifurcated from piecewise Hamiltonian systems by Melnikov functions of any order;Journal of Differential Equations;2024-09

2. Limit Cycles in a Class of Planar Discontinuous Piecewise Quadratic Differential Systems with a Non-regular Line of Discontinuity (II);Mediterranean Journal of Mathematics;2024-08-20

3. Limit cycles in piecewise polynomial Hamiltonian systems allowing nonlinear switching boundaries;Journal of Differential Equations;2023-01

4. Limit Cycles of a Class of Discontinuous Piecewise Differential Systems Separated by the Curve y = xn Via Averaging Theory;International Journal of Bifurcation and Chaos;2022-09-30

5. Non–Equivalence Between the Melnikov and the Averaging Methods for Nonsmooth Differential Systems;Qualitative Theory of Dynamical Systems;2022-08-22

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