On Bifurcations Leading to Chaos in Chua's Circuit

DOI10.1142/S0218127498000486zbMath0939.34042OpenAlexW1969294700MaRDI QIDQ4936273

V. V. Bykov

Publication date: 7 March 2000

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

Full work available at URL: https://doi.org/10.1142/s0218127498000486

zbMATH Keywords

chaosheteroclinic orbitcubic nonlinearityMorse-Smale structurethree-dimensional Chua's circuit

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Cites Work

• Bifurcation of systems with homoclinic curve of a saddle-focus with saddle quantity zero
• The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
• Homoclinic orbits in a parametrized saddle-focus system
• ON SYSTEMS WITH A SADDLE-FOCUS HOMOCLINIC CURVE
• CONFINORS AND BOUNDED-TIME PATTERNS IN CHUA'S CIRCUIT AND THE DOUBLE SCROLL FAMILY
• CHUA’S CIRCUIT: RIGOROUS RESULTS AND FUTURE PROBLEMS
• THE THEORY OF CONFINORS IN CHUA’S CIRCUIT: ACCURATE ANALYSIS OF BIFURCATIONS AND ATTRACTORS
• ON PERIODIC ORBITS AND HOMOCLINIC BIFURCATIONS IN CHUA’S CIRCUIT WITH A SMOOTH NONLINEARITY
• NEW TYPE OF STRANGE ATTRACTOR FROM A GEOMETRIC MODEL OF CHUA'S CIRCUIT
• BIFURCATION PHENOMENA IN THE 1:1 RESONANT HORN FOR THE FORCED VAN DER POL—DUFFING EQUATION
• ON A POINCARÉ-BIRKHOFF PROBLEM

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