Bifurcation Trees of Period-m Motions to Chaos in a Time-Delayed, Quadratic Nonlinear Oscillator under a Periodic Excitation

DOI10.5890/DNC.2014.03.007zbMath1401.70033OpenAlexW2321580082MaRDI QIDQ2922986

Publication date: 15 October 2014

Published in: The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5890/dnc.2014.03.007

zbMATH Keywords

Hopf bifurcation nonlinear dynamical systems nonlinear oscillator time-delayed bifurcation trees generalized harmonic balance period-\(m\) motions

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55)

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