Numerical simulation of the transition to chaos in a dissipative Duffing oscillator with two-frequency excitation

DOI10.1134/S0965542507100041OpenAlexW2063611435MaRDI QIDQ6123109

T. V. Zavrazhina

Publication date: 4 March 2024

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/zvmmf230

zbMATH Keywords

chaosbifurcationdynamical systemDuffing oscillatorFloquet theoryEverhart numerical methodFeigenbaum universal constantperiodic solution on torus

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55)

Cites Work

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• An intrinsic multiple-scale harmonic balance method for nonlinear vibration and bifurcation problems
• On the transition from regular to chaotic behaviour in the Duffing oscillator
• Oscillations of a Quasi-Periodicially Forced System with Dry Friction
• Dynamics of a Weakly Nonlinear System Subjected to Combined Parametric and External Excitation

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