Relaxation Oscillations in a Nonsmooth Oscillator with Slow-Varying External Excitation

DOI10.1142/S0218127419300192zbMath1427.34066OpenAlexW2962077946WikidataQ127483590 ScholiaQ127483590MaRDI QIDQ5229106

Zhi-Xiang Wang, Zhengdi Zhang, Qinsheng Bi

Publication date: 14 August 2019

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

Full work available at URL: https://doi.org/10.1142/s0218127419300192

zbMATH Keywords

bifurcation mechanismbursting oscillationsnonsmoothnesstwo scales in frequency domain

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Forced motions for nonlinear problems in mechanics (70K40) Analytic circuit theory (94C05) Discontinuous ordinary differential equations (34A36) Qualitative investigation and simulation of ordinary differential equation models (34C60) Singular perturbations for ordinary differential equations (34E15) Relaxation oscillations for ordinary differential equations (34C26)

Related Items (4)

Complex bursting patterns and fast-slow analysis in a smallest chemical reaction system with two slow parametric excitations ⋮ Bifurcation Analysis of a Reaction–Diffusion Rumor Spreading Model with Nonsmooth Control ⋮ Bursting oscillations with bifurcations of chaotic attractors in a modified Chua's circuit ⋮ Global Stability and Bifurcation Analysis of a Rumor Propagation Model with Two Discrete Delays in Social Networks

Cites Work

• Unnamed Item
• Unnamed Item
• Bifurcation mechanism of bursting oscillations in parametrically excited dynamical system
• Bursting phenomena as well as the bifurcation mechanism in controlled Lorenz oscillator with two time scales
• Bursting oscillations in Duffing's equation with slowly changing external forcing
• Dissection of a model for neuronal parabolic bursting
• Piecewise-smooth dynamical systems. Theory and applications
• Multi-timescale systems and fast-slow analysis
• Bifurcation phenomena in non-smooth dynamical systems
• Controlling the chaotic \(n\)-scroll Chua's circuit with two low pass filters
• Inverse period-doubling bifurcations determine complex structure of bursting in a one-dimensional non-autonomous map
• NEURAL EXCITABILITY, SPIKING AND BURSTING

This page was built for publication: Relaxation Oscillations in a Nonsmooth Oscillator with Slow-Varying External Excitation