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Limit Cycles in Piecewise Smooth Van der Pol Equations
  
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KeyWord:Limit cycles, slow-fast systems, van der Pol equations
Author NameAffiliation
Zhihao Cen School of Mathematics and Statistics, Donghua University, Shanghai 201620, China 
Feng Xie School of Mathematics and Statistics, Donghua University, Shanghai 201620, China 
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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.