Abstract and Applied Analysis

Bifurcation of Limit Cycles by Perturbing a Piecewise Linear Hamiltonian System

Yanqin Xiong and Maoan Han

Full-text: Open access

Abstract

This paper concerns limit cycle bifurcations by perturbing a piecewise linear Hamiltonian system. We first obtain all phase portraits of the unperturbed system having at least one family of periodic orbits. By using the first-order Melnikov function of the piecewise near-Hamiltonian system, we investigate the maximal number of limit cycles that bifurcate from a global center up to first order of ε .

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2012), Article ID 575390, 19 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393450073

Digital Object Identifier
doi:10.1155/2013/575390

Mathematical Reviews number (MathSciNet)
MR3035204

Zentralblatt MATH identifier
1274.34119

Citation

Xiong, Yanqin; Han, Maoan. Bifurcation of Limit Cycles by Perturbing a Piecewise Linear Hamiltonian System. Abstr. Appl. Anal. 2013, Special Issue (2012), Article ID 575390, 19 pages. doi:10.1155/2013/575390. https://projecteuclid.org/euclid.aaa/1393450073


Export citation