Bifurcation of Limit Cycles from a Focus-Parabolic-Type Critical Point in Piecewise Smooth Cubic Systems

In this paper, we investigate the maximum number of small-amplitude limit cycles bifurcated from a planar piecewise smooth focus-parabolic type cubic system that has one switching line given by the <i>x</i>-axis. By applying the generalized polar coordinates to the parabolic subsystem an...

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Bibliographic Details
Published in:Mathematics
Main Authors: Fei Luo, Yundong Li, Yi Xiang
Format: Article
Language:English
Published: MDPI AG 2024-02-01
Subjects:
piecewise smooth cubic system
Lyapunov constants
limit cycles
focus-parabolic-type critical point
Online Access:https://www.mdpi.com/2227-7390/12/5/702

Internet

https://www.mdpi.com/2227-7390/12/5/702

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