TY - JOUR
T1 - The Number of Limit Cycles in a Class of Piecewise Polynomial Systems
AU - Liu , Shanshan
AU - Jin , Xuyi
AU - Xiong , Yujie
JO - Journal of Nonlinear Modeling and Analysis
VL - 2
SP - 352
EP - 370
PY - 2022
DA - 2022/06
SN - 4
DO - http://doi.org/10.12150/jnma.2022.352
UR - https://global-sci.org/intro/article_detail/jnma/20712.html
KW - Piecewise smooth system, Melnikov function, ECT-system, Limit
cycle.
AB - <p style="text-align: justify;">In this paper, we pay attention to the number of limit cycles for a
class of piecewise smooth near-Hamiltonian systems. By using the expression
of the first order Melnikov function and some known results about Chebyshev systems, we study upper bound of the number of limit cycles in Hopf
bifurcation and Poincaré bifurcation respectively.</p>