On the influence of noise on the largest Lyapunov exponent and on the geometric structure of attractors

DOI10.1016/S0960-0779(97)00145-8zbMath0934.37047MaRDI QIDQ1809576

Ioannis Andreadis, Georgios Pavlos, Michalis Athanasiou, J. H. Argyris

Publication date: 25 April 2000

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

largest Lyapunov exponentchaotic attractorscorrelation dimensionLorenz attractorsHénon attractors

Mathematics Subject Classification ID

Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (6)

Noise robust estimates of the largest Lyapunov exponent ⋮ GLOBAL LOW DIMENSIONAL SEISMIC CHAOS IN THE HELLENIC REGION ⋮ On a classification of dynamic systems subject to noise ⋮ On the influence of noise on the largest Lyapunov exponent of attractors of stochastic dynamic systems ⋮ On the influence of noise on the coexistence of chaotic attractors ⋮ Noise-perturbed quaternionic Mandelbrot sets

Cites Work

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• A scaling law: How an attractor's volume depends on noise level
• Determining Lyapunov exponents from a time series
• Measuring the strangeness of strange attractors
• Chaos, fractals, and noise: Stochastic aspects of dynamics.
• On chaotic oscillations of a laminated composite cylinder subject to periodic application of temperature
• The influence of noise on the correlation dimension of chaotic attractors

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