@article{Hou2024, 
author = {Wenwen Hou and Maoan Han},
title = {Melnikov functions and limit cycle bifurcations for a class of piecewise Hamiltonian systems},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {2},
pages = {3957-4013},
keywords = {piecewise smooth system, Melnikov function, limit cycle, bifurcation},
url = {https://www.sciopen.com/article/10.3934/math.2024194},
doi = {10.3934/math.2024194},
abstract = {This study evaluated the number of limit cycles for a class of piecewise Hamiltonian systems with two zones separated by two semi-straight lines. First, we obtained explicit expressions of higher Melnikov functions. Then we applied these expressions to find the upper bounds of the number of limit cycles bifurcated from a period annulus of a piecewise polynomial Hamiltonian system.}
}