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.
Produkteigenschaften
- Artikelnummer: 9783540859635
- Medium: Buch
- ISBN: 978-3-540-85963-5
- Verlag: Springer Berlin Heidelberg
- Erscheinungstermin: 13.11.2008
- Sprache(n): Englisch
- Auflage: 2009
- Serie: Lecture Notes in Mathematics
- Produktform: Kartoniert
- Gewicht: 417 g
- Seiten: 254
- Format (B x H x T): 155 x 235 x 15 mm
- Ausgabetyp: Kein, Unbekannt