Period-3 Motions to Chaos in a Softening Duffing Oscillator

DOI10.1142/S0218127414300109zbMath1296.34089MaRDI QIDQ3191087

Jianzhe Huang, Albert C. J. Luo

Publication date: 23 September 2014

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

zbMATH Keywords

Hopf bifurcationnonlinear dynamical systemsgeneralized harmonic balance methodbifurcation treesoftening Duffing oscillatorperiod-3 motions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28)

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Numerical scheme for period-\(m\) motion of second-order nonlinear dynamical systems based on generalized harmonic balance method, Nonlinear Dynamics of a Smooth and Discontinuous Oscillator with Multiple Stability

Cites Work

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