DYNAMICS OF THE MUTHUSWAMY–CHUA SYSTEM

DOI10.1142/S0218127413501368zbMath1275.34071MaRDI QIDQ2864970

Xiang Zhang, Yuanfan Zhang

Publication date: 27 November 2013

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

zbMATH Keywords

chaoslimit cyclesHopf bifurcationMuthuswamy-Chua system

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) Analytic circuit theory (94C05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Invariant manifolds for ordinary differential equations (34C45)

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Periodic orbits in the Muthuswamy-Chua simplest chaotic circuit

Cites Work

• On the Hopf-zero bifurcation of the Michelson system
• A new class of quadratic systems
• The Michelson system is neither global analytic, nor Darboux integrable
• Global dynamics of the Rikitake system
• Darboux integrability and algebraic invariant surfaces for the Rikitake system
• On the Integrability of a Muthuswamy–Chua System