Bifurcation Trees of Periodic Motions to Chaos in a Parametric, Quadratic Nonlinear Oscillator

DOI10.1142/S0218127414500758zbMath1296.70022MaRDI QIDQ2920782

Albert C. J. Luo, Bo Yu

Publication date: 29 September 2014

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

zbMATH Keywords

nonlinear dynamical systemsperiod-1 motions to chaosparametric quadratic nonlinear oscillatorperiod-2 motions to chaos

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (1)

Bifurcation Trees of Period-1 Motions to Chaos in a Two-Degree-of-Freedom, Nonlinear Oscillator

Cites Work

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• On the Parametric Excitation of Pendulum-Type Vibration Absorber
• Transition Curves for the Quasi-Periodic Mathieu Equation
• Stability Analysis Of The Non-Linear Mathieu Equation
• Further Results on Parametric Excitation of a Dynamic System
• Parametric Excitation of a Nonlinear System
• Analytical Routes of Period-1 Motions to Chaos in a Periodically Forced Duffing Oscillator with a Twin-well Potential

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