Year: 2023
Author: Wenwen Hou, Shanshan Liu
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 1 : pp. 123–145
Abstract
This paper is concerned with the number of limit cycles for a class of piecewise Hamiltonian systems with two zones separated by two semistraight lines. By constructing a Poincaré map, we obtain explicit expressions of the first, second and third order Melnikov functions. In addition, we apply their expressions to give upper bounds of the number of limit cycles bifurcated from a period annulus of a piecewise polynomial Hamiltonian system.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2023.123
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 1 : pp. 123–145
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: Piecewise smooth system Melnikov function Limit cycle Bifurcation.