Local Lyapunov exponents

Sublimiting Growth Rates of Linear Random Differential Equations

Autor*innen

• Wolfgang Siegert

Parameter

• Lehrbücher
• Universitätslehrbücher

Mehr zum Buch

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.

• Sprache: Englisch
• Erscheinungsdatum: 2009
• Einband: Paperback