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[null,"1.","Record Nr.",null,"UNINA9910484132603321"]
[null,null,"Autore",null,"Siegert Wolfgang"]
[null,null,"Titolo",null,"Local Lyapunov exponents : sublimiting growth rates of linear random differential equations / / Wolfgang Siegert"]
[null,null,"Pubbl/distr/stampa",null,"Berlin, : Springer, 2009"]
[null,null,"ISBN",null,"9783540859642"]
[{"$nulls":4},"3540859640"]
[null,null,"Edizione",null,"[1st ed. 2009.]"]
[null,null,"Descrizione fisica",null,"1 online resource (IX, 254 p.)"]
[null,null,"Collana",null,"Lecture notes in mathematics ; ; 1963"]
[null,null,"Classificazione",null,"MAT 606f"]
[{"$nulls":4},"SI 850"]
[{"$nulls":4},"60F1060H1037H1534F0434C1158J3591B2837N1092D1592D25"]
[null,null,"Disciplina",null,"515.35"]
[null,null,"Soggetti",null,"Lyapunov exponents"]
[{"$nulls":4},"Differential equations"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (p. 239-251) and index."]
[null,null,"Nota di contenuto",null,"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."]
[null,null,null,"Sommario/riassunto","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."]