Local Lyapunov exponents

Sublimiting Growth Rates of Linear Random Differential Equations

Autori

• Wolfgang Siegert

Parametri

• Libri di testo
• Libri di testo universitari

Maggiori informazioni sul libro

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.

Lingua: Inglese

Pubblicato: 2009

(In brossura)