Chaos and routes to chaos in coupled Duffing oscillators with multiple degrees of freedom

DOI10.1016/j.chaos.2004.09.119zbMath1088.37047OpenAlexW1989297873MaRDI QIDQ1777000

J. W. Benner, D. E. Musielak, Zdzislaw E. Musielak

Publication date: 12 May 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.09.119

zbMATH Keywords

numerical simulationsperiod doublingroutes to chaoschaotic regionscomplex Duffing oscillator systemscoupling several oscillators

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (12)

Bifurcation and route-to-chaos analyses for Mathieu-Duffing oscillator by the incremental harmonic balance method ⋮ A unified model for the dynamics of driven ribbon with strain and magnetic order parameters ⋮ Multiple Duffing problem in a folding structure with hill-top bifurcation ⋮ Integral of motion and nonlinear dynamics of three Duffing oscillators with weak or strong bidirectional coupling ⋮ Spatiotemporal chaos in a conservative Duffing-type system ⋮ Multiple Duffing problem in a folding structure with hilltop bifurcation and possible imperfections ⋮ Dynamical analysis of a compound oscillator with initial phase difference ⋮ Single-mode control and chaos of cantilever beam under primary and principal parametric excitations ⋮ Suppressing chaos of Duffing-Holmes system using random phase ⋮ On methods for continuous systems with quadratic, cubic and quartic nonlinearities ⋮ Chaos controlling of extended nonlinear Liénard system based on the Melnikov theory ⋮ HIGH-DIMENSIONAL CHAOS IN DISSIPATIVE AND DRIVEN DYNAMICAL SYSTEMS

Cites Work

• Unnamed Item
• The universal metric properties of nonlinear transformations
• Bifurcation structure of two coupled periodically driven double-well Duffing oscillators.

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