Limit cycles bifurcations of Liénard system with a hyperelliptic Hamiltonian of degree five
We deal with limit cycles bifurcating from the period annulus of Liénard system with a hyperelliptic Hamiltonian of degree five under quartic perturbation, where Liénard system has a normal form $\dot{x}=y$, $\dot{y}=x(x-1)(x^{2}+ax+b)$, $a^{2}-4b<0$. It is proved that the perturbation of this sy...
Saved in:
Main Authors: | Yi Shao, Chunxiang A |
---|---|
Format: | Article |
Language: | English |
Published: |
University of Szeged
2024-11-01
|
Series: | Electronic Journal of Qualitative Theory of Differential Equations |
Subjects: | |
Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=11158 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Some bifurcation methods of finding limit cycles
by: Maoan Han, et al.
Published: (2005-10-01) -
The uniqueness of limit cycles in a predator-prey system with Ivlev-type group defense
by: Jin Liao, et al.
Published: (2024-11-01) -
Two highly accurate and efficient numerical methods for solving the fractional Liénard’s equation arising in oscillating circuits
by: Mohamed El-Gamel, et al.
Published: (2024-12-01) -
Controlling hopf bifurcations: Discrete-time systems
by: Guanrong Chen, et al.
Published: (2000-01-01) -
Research of the Bifurcation Characteristic of Helical Gear System with Considering Random Perturbation of Mesh Stiffness
by: Yiyi Tou, et al.
Published: (2019-08-01)