Detection function method and its application to a class of quintic Hamiltonian systems with quintic perturbations-Reference-Cited by-同舟云学术

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Detection function method and its application to a class of quintic Hamiltonian systems with quintic perturbations

Published:2007-08 Issue:2 Volume:191 Page:490-503
ISSN:0096-3003
Container-title:Applied Mathematics and Computation
language:en
Short-container-title:Applied Mathematics and Computation

Author:

Zhou Hongxian,Xu Wei,Zhao Xiaoshan,Li Shuang

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference30 articles.

1. Dynamics restrospective: great problem, attempts that failed;Smale;Physica D,1991

2. Ten problems;Arnold;Adv. Sov. Math,1990

3. Finiteness Theorem for Limit Cycles;Ilyashenko,1991

4. Loss of stability of sell-oscillations close to resonance and versal deformations of equivariant vector fields;Arnold;Funct. Anal. Appl.,1977

5. Hilbert’s 16th problem and bifurcations of planar polynomial vector fields;Li;Int. J. Bifurcat. Chaos,2003

Cited by 3 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. Bifurcations of limit cycles in equivariant quintic planar vector fields;Journal of Mathematical Analysis and Applications;2015-02

2. AN IMPROVED LOWER BOUND ON THE NUMBER OF LIMIT CYCLES BIFURCATING FROM A HAMILTONIAN PLANAR VECTOR FIELD OF DEGREE 7;International Journal of Bifurcation and Chaos;2010-05

3. AN IMPROVED LOWER BOUND ON THE NUMBER OF LIMIT CYCLES BIFURCATING FROM A QUINTIC HAMILTONIAN PLANAR VECTOR FIELD UNDER QUINTIC PERTURBATION;International Journal of Bifurcation and Chaos;2010-01

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