Limit cycles bifurcating from periodic orbits near a centre and a homoclinic loop with a nilpotent singularity of Hamiltonian systems-Reference-Cited by-同舟云学术

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Limit cycles bifurcating from periodic orbits near a centre and a homoclinic loop with a nilpotent singularity of Hamiltonian systems

Published:2020-04-17 Issue:6 Volume:33 Page:2723-2754
ISSN:0951-7715
Container-title:Nonlinearity
language:
Short-container-title:Nonlinearity

Author:

Wei Lijun,Zhang Xiang^ORCID

Funder

the Committee of Education of Zhejiang Province

the start-up research program from HZNU

National Natural Science Foundation of China

Publisher

IOP Publishing

Subject

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

Link

https://iopscience.iop.org/article/10.1088/1361-6544/ab7635/pdf

Reference41 articles.

1. Mathematical problems

2. Loss of stability of self-oscillations close to resonance and versal deformations of equivariant vector fields

3. On the number of zeros of Abelian integrals

4. Alien limit cycles in Liénard equations

5. Double exponential estimate for the number of zeros of complete Abelian integrals

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

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

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

3. On the indices of singular points for planar bounded piecewise smooth polynomial vector field;Nonlinear Analysis: Hybrid Systems;2023-08

4. Corrigendum: Limit cycles bifurcating from periodic orbits near a centre and a homoclinic loop with a nilpotent singularity of Hamiltonian systems (2020 Nonlinearity 33 2723–2754);Nonlinearity;2022-06-22

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

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