Confirmation of the Afraimovich-Shilnikov torus-breakdown theorem via a torus circuit

DOI10.1109/81.251815zbMath0845.34053OpenAlexW2104567319MaRDI QIDQ4878414

M. A. Safonova, Leon O. Chua, Vadim S. Anishchenko

Publication date: 4 September 1996

Published in: IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/81.251815

zbMATH Keywords

saddle-node bifurcationperiod-doubling bifurcationsAfraimovich-Shilnikov theorembifurcation routes from the torus to chaosthird-order torus circuit

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Analytic circuit theory (94C05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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