Limit cycle bifurcation by perturbing a cuspidal loop of order 2 in a Hamiltonian system-Reference-Cited by-同舟云学术

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Limit cycle bifurcation by perturbing a cuspidal loop of order 2 in a Hamiltonian system

Published:2012-03 Issue:4 Volume:75 Page:1945-1958
ISSN:0362-546X
Container-title:Nonlinear Analysis: Theory, Methods & Applications
language:en
Short-container-title:Nonlinear Analysis: Theory, Methods & Applications

Author:

Atabaigi Ali,Zangeneh Hamid R.Z.,Kazemi Rasool

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference10 articles.

1. Ordinary differential equations;Arnold,1988

2. A note on finite cyclicity property and Hilbert’s 16th problem;Roussarie,1986

3. Elementary graphics of cyclicity 1 and 2;Dumortier;Nonlinearity,1994

4. Bifurcations of cuspidal loops;Dumortier;Nonlinearity,1997

5. Finite cyclicity of graphics with a nilpotent singularity of saddle or elliptic type;Zhu;J. Differential Equations,2002

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1. On the number of limit cycles near a homoclinic loop with a nilpotent cusp of order m;Journal of Differential Equations;2024-01

2. Some properties of Melnikov functions near a cuspidal loop;Science China Mathematics;2023-12-15

3. Bifurcation of limit cycles near a heteroclinic loop with nilpotent cusps;Communications in Nonlinear Science and Numerical Simulation;2023-10

4. Limit Cycle Bifurcations Near a Heteroclinic Loop with Two Nilpotent Cusps of General Order;International Journal of Bifurcation and Chaos;2022-05

5. Limit Cycle Bifurcations Near a Cuspidal Loop;Symmetry;2020-08-27

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