On the influence of noise on the largest Lyapunov exponent of attractors of stochastic dynamic systems

DOI10.1016/S0960-0779(97)00146-XzbMath0934.37048WikidataQ127909024 ScholiaQ127909024MaRDI QIDQ1809577

Ioannis Andreadis, J. H. Argyris

Publication date: 25 April 2000

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

zbMATH Keywords

largest Lyapunov exponentstochastic dynamical systemmultiplicative noise

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 (4)

On the influence of noise on the Bianchi IX and VIII cosmological models ⋮ Noise robust estimates of the largest Lyapunov exponent ⋮ On a classification of dynamic systems subject to noise ⋮ Noise-perturbed quaternionic Mandelbrot sets

Cites Work

• Determining Lyapunov exponents from a time series
• Chaos, fractals, and noise: Stochastic aspects of dynamics.
• On the influence of noise on the largest Lyapunov exponent and on the geometric structure of attractors
• The influence of noise on the correlation dimension of chaotic attractors
• Effects of noise on chaotic one-dimensional maps
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