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

โœ Scribed by John Argyris; Ioannis Andreadis

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
370 KB
Volume
9
Category
Article
ISSN
0960-0779

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โœฆ Synopsis

In this paper, we prove that the magnitude of the largest Lyapunov exponent of attractors appartaining to stochastic dynamic systems is increasing under the influence of noise. Thus we offer an answer to the conjecture posed by Argyris et al. in [l]. We investigate also the influence of an additive output noise to the correlation dimension and on the largest Lyapunov exponent of the attractors of dynamic systems either in a discrete or in a continuous in time formulation.

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