@Article{JNMA-1-527,
author = {Jiang , Fangfang and Han , Maoan},
title = {Qualitative Analysis of Crossing Limit Cycles in Discontinuous Liénard-Type Differential Systems},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2021},
volume = {1},
number = {4},
pages = {527--543},
abstract = {<p style="text-align: justify;">In this paper, we investigate qualitative properties of crossing limit
cycles for a class of discontinuous nonlinear Liénard-type differential systems
with two zones separated by a straight line. Firstly, by applying left and right
Poincaré mappings we provide two criteria on the existence, uniqueness and
stability of a crossing limit cycle. Secondly, by geometric analysis we estimate
the position of the unique limit cycle. Several lemmas are given to obtain an
explicit upper bound for the amplitude of the limit cycle. Finally, a predator-prey model with nonmonotonic functional response is studied, and Matlab
simulations are presented to show the agreement between theoretical results
and numerical analysis.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2019.527},
url = {http://global-sci.org/intro/article_detail/jnma/18838.html}
}