CATASTROPHE THEORETIC CLASSIFICATION OF NONLINEAR OSCILLATORS

DOI10.1142/S0218127404009995zbMath1099.70016MaRDI QIDQ4655626

A. Yu. Kuznetsova, Alexander P. Kuznetsov, Carsten Knudsen, Erik Mosekilde

Publication date: 8 March 2005

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

zbMATH Keywords

basin bifurcationscrossroad area-spring area transitionSpace of parameters for the potential functiontwo-dimensional bifurcation diagrams

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Catastrophe theory (58K35)

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Cites Work

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• Survey of regular and chaotic phenomena in the forced Duffing oscillator
• Criteria for chaos of a three-well potential oscillator with homoclinic and heteroclinic orbits
• "CROSSROAD AREA–SPRING AREA" TRANSITION (I) PARAMETER PLANE REPRESENTATION
• COMMON DYNAMICAL FEATURES OF PERIODICALLY DRIVEN STRICTLY DISSIPATIVE OSCILLATORS
• PREDICTING REGIMES OF INDETERMINATE JUMPS TO RESONANCE BY ASSESSING FRACTAL BOUNDARIES IN CONTROL SPACE

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