Temporal and spectral responses of a softening Duffing oscillator undergoing route-to-chaos

DOI10.1016/J.CNSNS.2012.04.015zbMath1416.70017OpenAlexW2062536101MaRDI QIDQ1948260

Meng-Kun Liu, Steve C. S. Suh

Publication date: 2 May 2013

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2012.04.015

zbMATH Keywords

Duffing oscillatorinstantaneous frequencyempirical mode decompositionnonstationary bifurcation

Mathematics Subject Classification ID

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

Cites Work

• Bifurcations in a forced softening Duffing oscillator
• On fault-induced nonlinear rotary response and instability
• The effects of non-stationary processes on chaotic and regular responses of the Duffing oscillator
• Toward a Fundamental Understanding of the Hilbert-Huang Transform in Nonlinear Structural Dynamics
• The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis
• THE DYNAMICS OF SYSTEMS OF COMPLEX NONLINEAR OSCILLATORS: A REVIEW

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