Practical evaluation of invariant measures for the chaotic response of a two-frequency excited mechanical oscillator

DOI10.1023/A:1012923517945zbMath1004.70020OpenAlexW142984347MaRDI QIDQ5959339

Jonathan M. Nichols, Lawrence N. Virgin

Publication date: 26 March 2002

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

Full work available at URL: https://doi.org/10.1023/a:1012923517945

zbMATH Keywords

invariant measuresLyapunov exponentsattractorcorrelation dimensionchaotic responsecorrelation sumlow-dimensional mechanical oscillatorLyapunov spectramodified Duffing's equationquasi-periodic forcingtwo-frequency forcingtwo-well potential

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Dynamical systems in classical and celestial mechanics (37N05)

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