Local Lyapunov exponents : sublimiting growth rates of linear random differential equations

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-int...

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Hlavní autor: Siegert, Wolfgang
Médium: Livre numérique
Jazyk:Anglais
Vydáno: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Vydání:1st ed. 2009.
Edice:Lecture Notes in Mathematics 1963
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Poznámka: Description d'apès consultation du 19 janvier 2012
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Edition sous un autre format:• Local Lyapunov exponents, sublimiting growth rates of linear random differential equations, Wolfgang Siegert, Berlin, Springer, 2009, 1 vol. (IX-254 p.), Lecture notes in mathematics, 978-3-540-85963-5
• Local Lyapunov Exponents, Texte imprimé, 9783540873754
• Local Lyapunov exponents, sublimiting growth rates of linear random differential equations, Wolfgang Siegert, Berlin, Springer, 2009, 1 vol. (IX-254 p.), Lecture notes in mathematics, 978-3-540-85963-5
Popis
Shrnutí: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
Popis jednotky:Description d'apès consultation du 19 janvier 2012
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ISBN:9783540859642
ISSN:1617-9692
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