Existence of at Most 1, 2, or 3 Zeros of a Melnikov Function and Limit Cycles

Author:

Han Maoan

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference20 articles.

1. Geometrical Methods in the Theory of Ordinary Differential Equations;Arnold,1983

2. Versal deformations of singularity of a vector field on the plane in the case of zero eigenvalues;Bogdanov;Proc. Petrovki Sem.,1976

3. Applications of Center Manifold Theory;Carr,1981

4. Abelian integrals and bifurcation theory;Carr;J. Differential Equations,1985

5. Uniqueness of periodic orbits in some vector fields with codimension two singularities;Chow;J. Differential Equations,1989

Cited by 13 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 traveling wave solutions of a generalized Burgers–Fisher equation;Journal of Mathematical Analysis and Applications;2024-05

2. Limit cycle bifurcations near a 2-polycycle or double 2-polycycle of planar systems;Nonlinear Analysis: Theory, Methods & Applications;2014-01

3. Computer-assisted techniques for the verification of the Chebyshev property of Abelian integrals;Journal of Differential Equations;2013-04

4. Bounding the number of zeros of certain Abelian integrals;Journal of Differential Equations;2011-09

5. A Chebyshev criterion for Abelian integrals;Transactions of the American Mathematical Society;2011-01-01

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3