STRANGE ATTRACTORS IN PERIODICALLY KICKED CHUA'S CIRCUIT

DOI10.1142/S0218127405012028zbMath1073.37039OpenAlexW2054359381MaRDI QIDQ4675688

Ali Oksasoglu, Qiudong Wang

Publication date: 6 May 2005

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

Full work available at URL: https://doi.org/10.1142/s0218127405012028

zbMATH Keywords

chaotic dynamicsHopf bifurcationinvariant curves

Mathematics Subject Classification ID

Analytic circuit theory (94C05) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Cites Work

• The dynamics of the Hénon map
• Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
• From invariant curves to strange attractors
• Dynamics of quadratic polynomials. I, II
• What are SRB measures, and which dynamical systems have them?
• Strange attractors in periodically-kicked limit cycles and Hopf bifurcations
• A chaotic attractor from Chua's circuit
• The double scroll family
• Strange attractors with one direction of instability