On Periodic Motions in a Parametric Hardening Duffing Oscillator

DOI10.1142/S0218127414300043zbMath1284.34055OpenAlexW2134713733MaRDI QIDQ5407283

Dennis M. O'Connor, Albert C. J. Luo

Publication date: 7 April 2014

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

Full work available at URL: https://doi.org/10.1142/s0218127414300043

zbMATH Keywords

nonlinear dynamical systemsasymmetric period-1 motionshardening Mathieu-Duffing oscillatorsymmetric period-2 motion

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Cites Work

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• Bifurcation and route-to-chaos analyses for Mathieu-Duffing oscillator by the incremental harmonic balance method
• On the Parametric Excitation of Pendulum-Type Vibration Absorber
• A nonlinear oscillator with a strange attractor
• The bifurcations of duffing's equation: An application of catastrophe theory
• Stability Analysis Of The Non-Linear Mathieu Equation
• ANALYTICAL DYNAMICS OF PERIOD-m FLOWS AND CHAOS IN NONLINEAR SYSTEMS
• 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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