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Volume 6, Issue 3
Limit Cycles in Piecewise Smooth Van der Pol Equations

Zhihao Cen & Feng Xie

DOI: 10.12150/jnma.2024.732

J. Nonl. Mod. Anal., 6 (2024), pp. 732-745.

Published online: 2024-08

[An open-access article; the PDF is free to any online user.]

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  • 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.

  • Keywords

Limit cycles, slow-fast systems, van der Pol equations.

  • AMS Subject Headings

34C07, 34C25, 34D15, 34E17

  • Copyright

COPYRIGHT: © Global Science Press

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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.

Cen , Zhihao and Xie , Feng. (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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