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Local Lyapunov Exponents

Local Lyapunov Exponents

Wolfgang Siegert

66,37 €
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Editorial:
Springer Nature B.V.
Año de edición:
2008
Materia
Cálculo y análisis matemático
ISBN:
9783540859635
66,37 €
IVA incluido
Disponible

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Sobre IBD

Establishing a new concept of local Lyapunov exponents the author brings together two separate theories, namely Lyapunov exponents and the theory of large deviations. Specifically, a linear differential system is considered which is controlled by a stochastic process that during a suitable noise-intensity-dependent time is trapped near one of its so-called metastable states. The local Lyapunov exponent is then introduced as the exponential growth rate of the linear system on this time scale. Unlike classical Lyapunov exponents, which involve a limit as time increases to infinity in a fixed system, here the system itself changes as the noise intensity converges, too.

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