Title: Local Lyapunov Exponents
            
                Lecture Notes in Mathematics
Description: "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."--Jacket.
Subjects: Lyapunov exponents, Differential equations, Exposants de Liapounov, Équations différentielles, Stochastisches dynamisches System, Ljapunov-Exponent, Grosse Abweichung, Lyapunov functions