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Local Lyapunov exponents sublimiting growth rates of linear random differential equations Wolfgang Siegert

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Siegert, Wolfgang, 1977- [aut]

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TextSprache: Englisch Reihen: ; 196300 | Lecture notes in mathematics ; 1963Verlag: Berlin Heidelberg Springer 2009Beschreibung: IX, 254 S. graph. DarstInhaltstyp:

Text

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9783540859635

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Hochschulschrift

Andere physische Formen: Kein Titel; Erscheint auch als: Local Lyapunov Exponents; Online-Ausg.: Local Lyapunov Exponents; Erscheint auch als: Local Lyapunov ExponentsLOC-Klassifikation:

QA372
QA3

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17,1
SI 850
*60-02
60F10
60H10
60H25
31.70
30.20
31.44

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Hochschulschriftenvermerk: Zugl.: Berlin, Humboldt-Univ., Diss., 2007 Zusammenfassung: "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."--BOOK JACKETAndere Ausgaben: Erscheint auch als (Online-Ausgabe): / Siegert, Wolfgang: Local Lyapunov Exponents; Online-Ausg.: / Local Lyapunov Exponents

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Medientyp	Aktuelle Bibliothek	Sammlung	Standort	Signatur	Status	Fälligkeitsdatum	Barcode
Buch	Gebäude E2 3 (UdS Campusbibliothek für Informatik und Mathematik)	Campusbibliothek für Informatik und Mathematik (E2 3)	Series (B)	LMS 1963 (Regal durchstöbern(Öffnet sich unterhalb))	Verfügbar		2202000039396

Literaturverz. S. 239 - 251

Zugl.: Berlin, Humboldt-Univ., Diss., 2007

Linear differential systems with parameter excitationLocality and time scales of the underlying non-degenerate stochastic system : Freidlin-Wentzell theory -- Exit probabilities for degenerate systems -- Local Lyapunov exponents.

"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."--BOOK JACKET

Local Lyapunov Exponents

Siegert, Wolfgang: Local Lyapunov Exponents

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