Bursting Oscillations and the Mechanism with Sliding Bifurcations in a Filippov Dynamical System

DOI10.1142/S0218127418501468zbMath1404.34046WikidataQ128919996 ScholiaQ128919996MaRDI QIDQ4560144

Guoqing Wu, Rui Qu, Qinsheng Bi, Yu Wang, Zhengdi Zhang

Publication date: 5 December 2018

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

bifurcationmultiple scalesFilippov systembursting oscillationssliding movement

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36) Multiple scale methods for ordinary differential equations (34E13) Topological dynamics of nonautonomous systems (37B55) Relaxation oscillations for ordinary differential equations (34C26)

Related Items (4)

Bursting oscillations with adding-sliding structures in a Filippov-type Chua's circuit ⋮ Dynamic analysis and bursting oscillation control of fractional-order permanent magnet synchronous motor system ⋮ Fast–Slow Dynamics and Bifurcation Mechanism in a Novel Chaotic System ⋮ Nonsmooth Behavior of Sliding Bifurcations in a General Piecewise Smooth Rotor/Stator Rubbing System

Cites Work

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• Spike-adding in parabolic bursters: the role of folded-saddle canards
• Dynamical behavior analysis and bifurcation mechanism of a new 3-D nonlinear periodic switching system
• Mixed-mode oscillations and interspike interval statistics in the stochastic FitzHugh–Nagumo model

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