Symmetric and asymmetric period-1 motions in a periodically forced, time-delayed, hardening Duffing oscillator

DOI10.1007/S11071-016-2750-0zbMath1355.34087OpenAlexW2318142950MaRDI QIDQ347329

Albert C. J. Luo, Siyuan Xing

Publication date: 30 November 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-016-2750-0

zbMATH Keywords

asymmetric period-1 motionimplicit mappingmapping structuressymmetric period-1 motiontime-delayed hardening Duffing oscillator

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (2)

Time-Delay Effects on Periodic Motions in a Duffing Oscillator ⋮ Bifurcation trees of period-3 motions to chaos in a time-delayed Duffing oscillator

Cites Work

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• Bifurcation Trees of Period-m Motions to Chaos in a Time-Delayed, Quadratic Nonlinear Oscillator under a Periodic Excitation
• Period-m Motions to Chaos in a Periodically Forced, Duffing Oscillator with a Time-Delayed Displacement
• A Semi-analytical Prediction of Periodic Motions in Duffing Oscillator through Mapping Structures
• Analytical Predictions of Period-1 motions to Chaos in a Periodically Driven Quadratic Nonlinear Oscillator with a Time-delay
• ANALYTICAL DYNAMICS OF PERIOD-m FLOWS AND CHAOS IN NONLINEAR SYSTEMS
• Periodic Flows to Chaos Based on Discrete Implicit Mappings of Continuous Nonlinear Systems
• Analytical Routes of Period-1 Motions to Chaos in a Periodically Forced Duffing Oscillator with a Twin-well Potential
• Unstable and Stable Period-m Motions in a Twin-well Potential Duffing Oscillator

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