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    3. Local Lyapunov Exponents: Sublimiting Growth Rates of Linear Random Differential Equations

    Local Lyapunov Exponents: Sublimiting Growth Rates of Linear Random Differential Equations

    Posted By: step778
    Date: 27 Feb 2015 07:40:27
    Local Lyapunov Exponents: Sublimiting Growth Rates of Linear Random Differential Equations

    Wolfgang Siegert, "Local Lyapunov Exponents: Sublimiting Growth Rates of Linear Random Differential Equations"
    2009 | pages: 263 | ISBN: 3540859632 | PDF | 1,9 mb

    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.

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