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020 a| 9783540859635 (pbk. : alk. paper);

020 a| 3540859632 (pbk. : alk. paper);

020 z| 9783540859642 (e-ISBN);

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100 1 a| Siegert, Wolfgang.=| ^A793029;

245 10 a| Local Lyapunov exponentsh| [electronic resource] :b| sublimiting growth rates of linear random differential equations /c| Wolfgang Siegert.;

260 a| Berlin :b| Springer,;

300 a| ix, 254 p. ;c| 24 cm.;

490 1 a| Lecture notes in mathematics ;v| 1963;

504 a| Includes bibliographical references (p. 239-251) and index.;

505 0 a| Linear differential systems with parameter excitation -- Locality and time scales of the underlying non-degenerate stochastic system : Freidlin-Wentzell theory -- Exit probabilities for degenerate systems -- Local Lyapunov exponents.;

506 a| Available only to authorized users.;

520 1 a| "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.;

538 a| Mode of access: World Wide Web;

650 0 a| Lyapunov exponents.=| ^A356348;

650 0 a| Differential equations.=| ^A15524;

650 6 a| Liapounov, Exposants de.;

650 6 a| Équations différentielles.;

650 7 a| Differential equations.2| fast0| (OCoLC)fst00893446;

650 7 a| Lyapunov exponents.2| fast0| (OCoLC)fst01004171;

650 07 a| Stochastisches dynamisches System.2| swd;

650 07 a| Ljapunov-Exponent.2| swd;

650 07 a| Grosse Abweichung.2| swd;

655 0 a| Electronic books.=| ^A491897;

830 0 a| Lecture notes in mathematics (Springer-Verlag) ;v| 1963.=| ^A496146;

856 40 z| Full text available from Springer Booksu| https://go.openathens.net/redirector/ecu.edu?url=https%3A%2F%2Flink.springer.com%2F10.1007%2F978-3-540-85964-2;

856 40 z| Full text available from SpringerLINK Lecture Notes in Mathematics Contemporary (1997-present)u| https://go.openathens.net/redirector/ecu.edu?url=http%3A%2F%2Flink.springer.com%2Fopenurl%3Fgenre%3Dbook%26isbn%3D978-3-540-85963-5;

856 40 z| Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2009 English Internationalu| https://go.openathens.net/redirector/ecu.edu?url=https%3A%2F%2Flink.springer.com%2F10.1007%2F978-3-540-85964-2;

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

Author/creator	Siegert, Wolfgang
Format	Electronic
Publication Info	Berlin : Springer,
Description	ix, 254 p. ; 24 cm.
Supplemental Content	Full text available from Springer Books
Supplemental Content	Full text available from SpringerLINK Lecture Notes in Mathematics Contemporary (1997-present)
Supplemental Content	Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2009 English International
Subjects	Lyapunov exponents. Differential equations. Liapounov, Exposants de. Équations différentielles.

Series	Lecture notes in mathematics ; 1963 Lecture notes in mathematics (Springer-Verlag) ; 1963. ^A496146
Contents	Linear differential systems with parameter excitation -- Locality and time scales of the underlying non-degenerate stochastic system : Freidlin-Wentzell theory -- Exit probabilities for degenerate systems -- Local Lyapunov exponents.
Review	"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.
Bibliography note	Includes bibliographical references (p. 239-251) and index.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2008934460
ISBN	9783540859635 (pbk. : alk. paper)
ISBN	3540859632 (pbk. : alk. paper)

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	Electronic Resources	Online Content Full text available from Springer Books Full text available from SpringerLINK Lecture Notes in Mathematics Contemporary (1997-present) Full text available from Springer Books	✔ Available

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

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