Period-m Motions to Chaos in a Periodically Forced, Duffing Oscillator with a Time-Delayed Displacement

DOI10.1142/S0218127414501260zbMath1302.34123OpenAlexW2029245743MaRDI QIDQ2934562

Hanxiang Jin, Albert C. J. Luo

Publication date: 15 December 2014

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

Full work available at URL: https://doi.org/10.1142/s0218127414501260

zbMATH Keywords

Hopf bifurcationnonlinear dynamical systemstime-delayed Duffing oscillatorbifurcation treesgeneralized harmonic balanceperiod-m motions

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Bifurcations and instability for nonlinear problems in mechanics (70K50) Periodic solutions to functional-differential equations (34K13) Theoretical approximation of solutions to functional-differential equations (34K07) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18)

Related Items

Symmetric and asymmetric period-1 motions in a periodically forced, time-delayed, hardening Duffing oscillator, Strange dynamic behavior induced by time delay for a Rijke tube system with periodic excitation, Analytical Predictions of Period-1 motions to Chaos in a Periodically Driven Quadratic Nonlinear Oscillator with a Time-delay, Time-Delay Effects on Periodic Motions in a Duffing Oscillator, Bifurcation trees of period-3 motions to chaos in a time-delayed Duffing oscillator, Multiple bifurcation trees of period-1 motions to chaos in a periodically forced, time-delayed, hardening Duffing oscillator, On a Global Sequential Scenario of Bifurcation Trees to Chaos in a First-Order, Periodically Excited, Time-Delayed System, Periodic Flows to Chaos Based on Discrete Implicit Mappings of Continuous Nonlinear Systems

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