Steady-state chaotic responses of a class of linear vibration absorbers

DOI10.1016/0895-7177(94)90013-2zbMath0804.70015OpenAlexW2005243746MaRDI QIDQ1334728

M. G. Zavattaro, Riccardo Riganti

Publication date: 25 September 1994

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(94)90013-2

zbMATH Keywords

fractal dimensioncoupled nonlinear oscillatorsnonautonomous systemsPoincaré mappingsLyapunov exponents spectra

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Bifurcations and instability for nonlinear problems in mechanics (70K50)

Related Items (2)

Transition to hyperchaos in the dynamics of a nonlinear vibration absorber ⋮ Invariant probability and entropy measures for multidimensional maps of chaotic attractors

Cites Work

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• On the response of the nonlinear vibration absorber
• The Lyapunov dimension of strange attractors
• Determining Lyapunov exponents from a time series
• Measuring the strangeness of strange attractors
• Multi-harmonic response in the regions of instability of harmonic solution in multi-degree-of-freedom non-linear systems
• Invariant torus bifurcation series and evolution of chaos exhibited by a forced nonlinear vibration system
• On the nature of turbulence
• NONLINEAR TIME SEQUENCE ANALYSIS

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