Topology and resonances in a quasiperiodically forced oscillator

DOI10.1016/j.physd.2004.06.008zbMath1054.70016OpenAlexW2060871950MaRDI QIDQ1888046

Brian K. Spears, Andrew J. Szeri

Publication date: 22 November 2004

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2004.06.008

zbMATH Keywords

BifurcationPerturbationParametric resonanceKnotted torus

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) General perturbation schemes for nonlinear problems in mechanics (70K60) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (2)

A new route to chaos: Sequences of topological torus bifurcations ⋮ Asymptotic solutions for Mathieu instability under random parametric excitation and nonlinear damping

Cites Work

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• Global behavior of a nonlinear quasiperiodic Mathieu equation
• Quasi-periodic solutions and stability for a weakly damped nonlinear quasi-periodic Mathieu equation
• Topological bifurcations of attracting 2-tori of quasiperiodically driven oscillators
• Transition Curves for the Quasi-Periodic Mathieu Equation
• Lösungen der inhomogenen Mathieuschen Differentialgleichung mit periodischer Störfunktion beliebiger Frequenz (mit besonderer Berücksichtigung der Resonanzlösungen)

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