Resonance and bifurcation in a nonlinear duffing system with cubic coupled terms

DOI10.1007/s11071-006-9024-1zbMath1170.70346OpenAlexW2034476640MaRDI QIDQ840240

Xu Wei, Li Ruihong, Li Shuang

Publication date: 11 September 2009

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-006-9024-1

zbMATH Keywords

chaosbifurcationmultiple scales methodinternal resonancecubic coupled termsprincipal resonancethe top Lyapunov exponent

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (3)

The response of linear oscillators coupled to MDOF nonlinear attachment with combined seismic excitation ⋮ Unnamed Item ⋮ Approximate partial Noether operators and first integrals for cubically coupled nonlinear Duffing oscillators subject to a periodically driven force

Cites Work

• Unnamed Item
• Determining Lyapunov exponents from a time series
• Bifurcation structure of two coupled periodically driven double-well Duffing oscillators.
• Resonance behaviour and jump phenomenon in a two coupled Duffing-van der Pol oscillators
• Coexisting chaotic attractors, their basin of attractions and synchronization of chaos in two coupled Duffing oscillators
• Parametric excitation for two internally resonant van der Pol oscillators
• Dynamics and chaos control in nonlinear electrostatic transducers
• Doubling bifurcations of destroyed \(\mathbb{T}^ 2\) tori
• Suppressing chaos in the Duffing oscillator by impulsive actions
• Pseudoperiodic driving: Eliminating multiple domains of attraction using chaos

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