Year: 2023
Author: Hongwei Shi, Changjian Liu
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 4 : pp. 682–694
Abstract
The Hopf cyclicities of some smooth polynomial, rational polynomial and piecewise smooth Liénard systems are studied. For two Liénard systems with the same damping term and different restoring (or potential) terms, we provide sufficient conditions that the two systems have the same Hopf cyclicity. Then, some examples are given to illustrate the efficiency and applicability of our results.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2023.682
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 4 : pp. 682–694
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Hopf cyclicity polynomial and rational polynomial Liénard systems smooth and piecewise smooth systems.