Amplitude modulated chaos in two-degree-of-freedom systems with quadratic nonlinearities

DOI10.1007/BF01213022zbMath0908.70022MaRDI QIDQ1384805

D. Massart

Publication date: 10 March 1999

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

method of averagingMelnikov's method1:2 internal resonancefour first-order equations

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Parametric resonances for nonlinear problems in mechanics (70K28)

Related Items (7)

Dynamics of a nonlinear microresonator based on resonantly interacting flexural-torsional modes ⋮ GLOBAL BIFURCATIONS AND CHAOTIC DYNAMICS IN SUSPENDED CABLES ⋮ Nonlinear Dynamics of Flexible L-Shaped Beam Based on Exact Modes Truncation ⋮ Non-Stationary Responses in Externally Excited Two-Degrees-of-Freedom Nonlinear Systems with 1: 2 Internal Resonance ⋮ Non-resonant and resonant chaotic dynamics in externally excited cyclic systems ⋮ Global bifurcations and chaos in externally excited cyclic systems ⋮ Global bifurcations and multi-pulse orbits of a parametric excited system with autoparametric resonance

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