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    Metastability in Nearly-Hamiltonian Systems

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    Athreya_umd_0117E_10518.pdf (611.0Kb)
    No. of downloads: 904

    Date
    2009
    Author
    Athreya, Dwijavanti
    Advisor
    Freidlin, Mark I
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    Abstract
    We characterize the phenomenon of metastability for a small random perturbation of a nearly-Hamiltonian dynamical system with one degree of freedom. We use the averaging principle and the theory of large deviations to prove that a metastable state is, in general, not a single state but rather a nondegenerate probability measure across the stable equilibrium points of the unperturbed Hamiltonian system. The set of all possible ``metastable distributions" is a finite set that is independent of the stochastic perturbation. These results lead to a generalization of metastability for systems close to Hamiltonian ones.
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    http://hdl.handle.net/1903/9505
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    DRUM is brought to you by the University of Maryland Libraries
    University of Maryland, College Park, MD 20742-7011 (301)314-1328.
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