Zeros of Abelian integrals for a quartic Hamiltonian with figure-of-eight loop through a nilpotent saddle-Reference-Cited by-同舟云学术

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Zeros of Abelian integrals for a quartic Hamiltonian with figure-of-eight loop through a nilpotent saddle

Published:2016-02 Issue: Volume:27 Page:350-365
ISSN:1468-1218
Container-title:Nonlinear Analysis: Real World Applications
language:en
Short-container-title:Nonlinear Analysis: Real World Applications

Author:

Yang Jihua^ORCID,Zhao Liqin

Funder

National Natural Science Foundation of China

Ningxia Natural Science Foundation

Ningxia Higher Educational Science Program

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,General Economics, Econometrics and Finance,General Engineering,General Medicine,Analysis

Reference35 articles.

1. Ten problems;Arnold,1990

2. Real analytic manifolds with finiteness properties and complex Abelian integrals;Khovansky;Funct. Anal. Appl.,1984

3. Estimate of the number of zeros of an Abelian integral depending on a parameter and limit cycles;Varchenko;Funct. Anal. Appl.,1984

4. Linear estimate for the number of zeros of Abelian integrals with cubic Hamiltonians;Horozov;Nonlinearity,1998

5. Complex zeros of an elliptic integral;Petrov;Funct. Anal. Appl.,1987

Cited by 7 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. On the number of limit cycles for a class of piecewise smooth Hamiltonian systems with discontinuous perturbations;Nonlinear Analysis: Real World Applications;2020-04

2. The Number of Zeros of Abelian Integral for a Quintic Hamiltonian Systems With a Rose-Figure Loop;Journal of Dynamical Systems and Geometric Theories;2020-01-02

3. On the number of zeros of Abelian integral for a class of cubic Hamiltonian systems;Dynamical Systems;2019-03-01

4. Limit cycle bifurcations near a double homoclinic loop with a nilpotent saddle of order m;Journal of Differential Equations;2019-01

5. On the Algebraic Structure and the Number of Zeros of Abelian Integral for a Class of Hamiltonians with Degenerate Singularities;Bulletin of the Brazilian Mathematical Society, New Series;2018-04-23

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