Limit Cycles in Piecewise Smooth Van der Pol Equations

Year:    2024

Author:    Zhihao Cen, Feng Xie

Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 3 : pp. 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.

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.12150/jnma.2024.732

Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 3 : pp. 732–745

Published online:    2024-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Limit cycles slow-fast systems van der Pol equations.

Author Details

Zhihao Cen

Feng Xie