Grazing and Symmetry-Breaking Bifurcations Induced Oscillations in a Switched System Composed of Duffing and van der Pol Oscillators

Grazing and Symmetry-Breaking Bifurcations Induced Oscillations in a Switched System Composed of Duffing and van der Pol Oscillators

By introducing a switching scheme related to the state and time, a typical switched model alternating between a Duffing oscillator and van der Pol oscillator is established to explore the typical dynamical behaviors as well as the mechanism of the switched system. Shooting methods to locate the limi...

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Bibliographic Details
Main Authors: Chun Zhang, Qiaoxia Tang, Zhixiang Wang
Format: Article
Language:English
Published: MDPI AG 2022-02-01
Series:Mathematics
Subjects:
switched system
mixed-mode oscillation
nonsmooth evolution
bifurcation mechanism
transformed phase portrait
Online Access:https://www.mdpi.com/2227-7390/10/5/772

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