The Maximal Number of Limit Cycles in Perturbations of Piecewise Linear Hamiltonian Systems with Two Saddles-Reference-Cited by-同舟云学术

The Maximal Number of Limit Cycles in Perturbations of Piecewise Linear Hamiltonian Systems with Two Saddles

Published:2017-07 Issue:08 Volume:27 Page:1750126
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Xiong Yanqin¹,Han Maoan²³,Romanovski Valery G.²⁴

Affiliation:

1. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, P. R. China

2. Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China

3. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, P. R. China

4. Center for Applied Mathematics and Theoretical Physics and Faculty of Natural Science and Mathematics, University of Maribor, Maribor, SI 2000, Slovenia

Abstract

We study the maximal number of limit cycles of piecewise linear near-Hamiltonian systems, whose unperturbed system has two saddles. Using the method developed in [Xiong, 2015], we prove that two limit cycles can be bifurcated from the periodic orbits.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127417501267

Reference16 articles.

1. Piecewise linear differential systems with two real saddles

2. A Chebyshev criterion for Abelian integrals

3. On Hopf bifurcation in non-smooth planar systems

4. On the number of limit cycles in general planar piecewise linear systems

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