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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...

Mit Beitragen von Inge Baxmann, Annette Bitsch, Robert Brain, Bernhard J. Dotzler, Michael Franz, Rodolphe Gasche, Hans-Christian von Herrmann, Ute Holl, Anton Kaes, Alexandre Metraux, Wolfgang Schaffner, Bernhard Siegert und Robert Stockhammer