Perturbation of a Period Annulus with a Unique Two-Saddle Cycle in Higher Order Hamiltonian-Reference-Cited by-同舟云学术

Perturbation of a Period Annulus with a Unique Two-Saddle Cycle in Higher Order Hamiltonian

Published:2019-08-25 Issue: Volume:2019 Page:1-8
ISSN:1076-2787
Container-title:Complexity
language:en
Short-container-title:Complexity

Author:

Zhu Hongying¹,Yang Sumin²^ORCID,Hu Xiaochun¹,Huang Weihua¹

Affiliation:

1. Department of Applied Mathematics, Guangxi University of Finance and Economics, Nanning, 530003 Guangxi, China

2. Department of Human Sciences, Guangxi Technological College of Machinery and Electricity, Nanning, 530007 Guangxi, China

Abstract

In this paper, we study the number of limit cycles emerging from the period annulus by perturbing the Hamiltonian systemx˙=y,y˙=x(x2-1)(x2+1)(x2+2). The period annulus has a heteroclinic cycle connecting two hyperbolic saddles as the outer boundary. It is proved that there exist at most4and at least3limit cycles emerging from the period annulus, and3limit cycles are near the boundaries.

Funder

Natural Science Foundation of Guangxi Province

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

Link

http://downloads.hindawi.com/journals/complexity/2019/5813596.pdf

Reference21 articles.

1. Mathematical problems

2. Strong Nonlinear Oscillators

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