@Article{JNMA-5-1,
author = {Wenwen, Hou and Shanshan, Liu},
title = {Melnikov Functions for a Class of Piecewise Hamiltonian Systems},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2023},
volume = {5},
number = {1},
pages = {123--145},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2023.123},
url = {https://global-sci.com/article/87866/melnikov-functions-for-a-class-of-piecewise-hamiltonian-systems}
}