TY - JOUR
T1 - Hopf Cyclicity of a Class of Liénard-Type Systems
AU - Shi , Hongwei
AU - Liu , Changjian
JO - Journal of Nonlinear Modeling and Analysis
VL - 4
SP - 682
EP - 694
PY - 2023
DA - 2023/12
SN - 5
DO - http://doi.org/10.12150/jnma.2023.682
UR - https://global-sci.org/intro/article_detail/jnma/22201.html
KW - Hopf cyclicity, polynomial and rational polynomial Liénard systems, smooth and piecewise smooth systems.
AB - <p style="text-align: justify;">The Hopf cyclicities of some smooth polynomial, rational polynomial and piecewise smooth Liénard systems are studied. For two Liénard
systems with the same damping term and different restoring (or potential)
terms, we provide sufficient conditions that the two systems have the same
Hopf cyclicity. Then, some examples are given to illustrate the efficiency and
applicability of our results.</p>