CONDITIONS FOR APPEARANCE AND DISAPPEARANCE OF LIMIT CYCLES IN THE SHIMIZU–MORIOKA SYSTEM

DOI10.1142/S0218127411029884zbMath1248.34067MaRDI QIDQ3165843

Lingling Liu, Bo Gao

Publication date: 19 October 2012

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

zbMATH Keywords

Hopf bifurcationnormal formfold bifurcation\(\mathcal{C}_2\)-symmetryLorenz canonical form

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) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (1)

Control of Shimizu–Morioka Chaotic System with Passive Control, Sliding Mode Control and Backstepping Design Methods: A Comparative Analysis

Cites Work

• Feedback control strategies for the Liu chaotic system
• Nonlinear analysis in a Lorenz-like system
• Chaos control and synchronization for a special generalized Lorenz canonical system - the SM system
• Bifurcation analysis of a new Lorenz-like chaotic system
• Dynamical analysis, feedback control and synchronization of Liu dynamical system
• On bifurcations of the Lorenz attractor in the Shimizu-Morioka model
• Hopf bifurcation analysis of the Liu system
• On the generalized Lorenz canonical form
• Ši'lnikov chaos in the generalized Lorenz canonical form of dynamical systems
• YET ANOTHER CHAOTIC ATTRACTOR
• Deterministic Nonperiodic Flow
• DYNAMICAL ANALYSIS OF A NEW CHAOTIC ATTRACTOR
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