Statistics of trajectory separation in noisy dynamical systems

Statistics of trajectory separation in a system of identical noisy mappings is investigated. We show that the probability density of the separation satisfies a scaling law whose exponent is determined by the spectrum of local Lyapunov exponents.

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Bibliographic Details
Published in:Physics letters. A 1992-05, Vol.165 (1), p.33-36
Main Author: Pikovsky, Arkady S.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Nonlinear dynamics and nonlinear dynamical systems
Physics
Statistical physics, thermodynamics, and nonlinear dynamical systems
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Description
Summary:Statistics of trajectory separation in a system of identical noisy mappings is investigated. We show that the probability density of the separation satisfies a scaling law whose exponent is determined by the spectrum of local Lyapunov exponents.
ISSN:0375-9601
1873-2429
DOI:10.1016/0375-9601(92)91049-W