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Bifurcation set and distribution of limit cycles for a class of cubic Hamiltonian system with higher-order perturbed terms

  • Published:2000-11 Issue:14 Volume:11 Page:2293-2304
  • ISSN:0960-0779
  • Container-title:Chaos, Solitons & Fractals
  • language:en
  • Short-container-title:Chaos, Solitons & Fractals

Author:

Cao Hongjun,Liu Zhengrong,Jing Zhujun

Publisher

Elsevier BV

Subject

General Mathematics,General Physics and Astronomy,Statistical and Nonlinear Physics,Applied Mathematics

Reference10 articles.

1. Hilbert’s original article

2. Geometric methods in theory for ordinary differential equations;Arnold,1983

3. On the uniqueness of the limit cycles of some nonlinear oscillation equations;Zhang;Doko Acad SSSR,1958

4. The periodic solution and limit cycles of differential equation with parameters;Chen;Acta Math Sinica,1963

5. Bifurcations of limit cycles forming compound eyes in the cubic system;Li;Chin Ann Math,1987

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1. On the number of zeros of Abelian integrals for a kind of quadratic reversible centers;AIMS Mathematics;2023

2. Bifurcation of Limit Cycles in Two Given Planar Polynomial Systems;Recent Advances in Computer Science and Information Engineering;2012

3. Numerical treatment of singularly perturbed two point boundary value problems exhibiting boundary layers;Communications in Nonlinear Science and Numerical Simulation;2011-09

4. On the perturbations of a Hamiltonian system;Computers & Mathematics with Applications;2011-02

5. On the number of limit cycles of a Z4-equivariant quintic polynomial system;Applied Mathematics and Computation;2010-07
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