Construction of chaotic regions

DOI10.1016/0022-460X(89)91004-3zbMath1235.70125OpenAlexW2077994544MaRDI QIDQ3224446

T. C. Fung, Andrew Y. T. Leung

Publication date: 2 April 2012

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-460x(89)91004-3

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Bifurcations and instability for nonlinear problems in mechanics (70K50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems in classical and celestial mechanics (37N05)

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Bifurcation and route-to-chaos analyses for Mathieu-Duffing oscillator by the incremental harmonic balance method ⋮ Periodic oscillations and attracting basins for a parametrically excited pendulum ⋮ The multi-parameter homotopy harmonic balance method for steady state problems ⋮ Prediction of bifurcations and chaos for an asymmetric elastic oscillator ⋮ Chaos in the softening Duffing system under multi-frequency periodic forces ⋮ Chaos in mechanical systems -- a review ⋮ Bifurcation in a nonlinear Duffing system with multi-frequency external periodic forces ⋮ RESONANCE RESPONSE OF A SIMPLY SUPPORTED ROTOR-MAGNETIC BEARING SYSTEM BY HARMONIC BALANCE ⋮ Periodic and chaotic motions of an unsymmetrical oscillator in nonlinear structural dynamics

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