Lyapunov exponents of Poisson shot-noise velocity fields
نویسندگان
چکیده
منابع مشابه
construction of vector fields with positive lyapunov exponents
in this thesis our aim is to construct vector field in r3 for which the corresponding one-dimensional maps have certain discontinuities. two kinds of vector fields are considered, the first the lorenz vector field, and the second originally introced here. the latter have chaotic behavior and motivate a class of one-parameter families of maps which have positive lyapunov exponents for an open in...
15 صفحه اولLyapunov Exponents
The analysis of potentially chaotic behavior in biological and biomedical phenomena has attracted great interest in recent years (1–6). Although no universally accepted mathematical definition of the term chaos exists, Strogatz (7) provides a working definition as ‘‘aperiodic long-term behavior in a deterministic system that exhibits sensitive dependence on initial conditions.’’ Aperiodic long-...
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The stochastic Anderson model in discrete or continuous space is defined for a class of non-Gaussian space-time potentials W as solutions u to the multiplicative stochastic heat equation u(t, x) = 1 + ∫ t 0 κ∆u(s, x)ds+ ∫ t 0 βW (ds, x)u(s, x) with diffusivity κ and inverse-temperature β. The relation with the corresponding polymer model in a random environment is given. The large time exponent...
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ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 2001
ISSN: 0304-4149
DOI: 10.1016/s0304-4149(01)00076-x