Torus breakdown and noise-induced dynamics in the randomly driven Morse oscillator

DOI10.1088/1751-8113/43/12/125102zbMath1372.70066OpenAlexW2043701027WikidataQ59903502 ScholiaQ59903502MaRDI QIDQ3558068

Matjaž Perc, Chun-Biao Gan, Qingyun Wang

Publication date: 29 April 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/6e44c92b1fdb00b03aaf1ae92b43145f19076e35

zbMATH Keywords

strange attractorschaotic dynamicsperturbationsLyapunov exponentsnormal formsconformal metricsKAM theoryArnold diffusionsmall divisorsmultiplicative ergodic theory

Mathematics Subject Classification ID

General perturbation schemes for nonlinear problems in mechanics (70K60) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Regularity of random attractors for a degenerate parabolic equations driven by additive noises ⋮ A kind of noise-induced transition to noisy chaos in stochastically perturbed dynamical system ⋮ Mathematical modeling and nonlinear vibration analysis of a coupled hydro-generator shaft-foundation system

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