Limit Cycles in Piecewise Smooth Van der Pol Equations
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@Article{JNMA-6-732,
author = {Cen , Zhihao and Xie , Feng},
title = {Limit Cycles in Piecewise Smooth Van der Pol Equations},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2024},
volume = {6},
number = {3},
pages = {732--745},
abstract = {
This paper focuses on analyzing the properties of equilibrium points and limit cycles in two types of planar piecewise smooth slow-fast systems. The right-half system is a classical van der Pol equation, while the left-half system is either linear or quadratic. Additionally, we provide a detailed description of the characteristics of limit cycles in these systems.
}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2024.732}, url = {http://global-sci.org/intro/article_detail/jnma/23359.html} }
TY - JOUR
T1 - Limit Cycles in Piecewise Smooth Van der Pol Equations
AU - Cen , Zhihao
AU - Xie , Feng
JO - Journal of Nonlinear Modeling and Analysis
VL - 3
SP - 732
EP - 745
PY - 2024
DA - 2024/08
SN - 6
DO - http://doi.org/10.12150/jnma.2024.732
UR - https://global-sci.org/intro/article_detail/jnma/23359.html
KW - Limit cycles, slow-fast systems, van der Pol equations.
AB -
This paper focuses on analyzing the properties of equilibrium points and limit cycles in two types of planar piecewise smooth slow-fast systems. The right-half system is a classical van der Pol equation, while the left-half system is either linear or quadratic. Additionally, we provide a detailed description of the characteristics of limit cycles in these systems.
Zhihao Cen & Feng Xie. (2024). Limit Cycles in Piecewise Smooth Van der Pol Equations.
Journal of Nonlinear Modeling and Analysis. 6 (3).
732-745.
doi:10.12150/jnma.2024.732
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