New Discontinuity-Induced Bifurcations in Chua's Circuit

DOI10.1142/S021812741550090XzbMath1317.34102MaRDI QIDQ5499899

Xiangying Meng, Shihui Fu, Qi-Shao Lu

Publication date: 5 August 2015

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

zbMATH Keywords

stabilitybifurcationequilibriumdiscontinuityChua's circuit

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Analytic circuit theory (94C05) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (5)

Control chaos to different stable states for a piecewise linear circuit system by a simple linear control ⋮ Border collision bifurcations in 3D piecewise smooth chaotic circuit ⋮ Complex dynamical behavior of modified MLC circuit ⋮ Discontinuity Induced Hopf and Neimark–Sacker Bifurcations in a Memristive Murali–Lakshmanan–Chua Circuit ⋮ Existence of Impact Period-1 Orbit After Grazing Bifurcation for a Soft Impacting System

Cites Work

• Two-parameter sliding bifurcations of periodic solutions in a dry-friction oscillator
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Rich dynamics of a ratio-dependent one-prey two-predators model
• Bifurcation phenomena in non-smooth dynamical systems
• Discontinuity-induced bifurcations of equilibria in piecewise-smooth and impacting dynamical systems
• The complementarity class of hybrid dynamical systems
• Discontinuity-induced bifurcations of piecewise smooth dynamical systems
• Stability analysis of equilibrium manifolds for a two-predators one-prey model
• A BIPARAMETRIC BIFURCATION IN 3D CONTINUOUS PIECEWISE LINEAR SYSTEMS WITH TWO ZONES: APPLICATION TO CHUA'S CIRCUIT
• Bifurcations in Nonsmooth Dynamical Systems
• LIMIT CYCLE BIFURCATION IN 3D CONTINUOUS PIECEWISE LINEAR SYSTEMS WITH TWO ZONES: APPLICATION TO CHUA'S CIRCUIT
• Bifurcations in nonlinear discontinuous systems

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