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The inverse problem for small random perturbations of dynamical systems

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Abstract

What can one get to know about the dynamical system from its small random perturbation? What can one say about solutions of an ordinary differential equation\(\dot x_1 = B(x_1 )\) having some information on its singular perturbation operatorL ɛ=ɛL+(B,∇) withL being an elliptic second order operator? These problems are studied in the paper.

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Authors and Affiliations

  1. Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel

    Yuri Kifer

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  1. Yuri Kifer
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Kifer, Y. The inverse problem for small random perturbations of dynamical systems. Israel J. Math. 40, 165–174 (1981). https://doi.org/10.1007/BF02761907

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  • DOI: https://doi.org/10.1007/BF02761907

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