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Mechanics of the 21st Century pp 241–261Cite as

Probability Phenomena in Perturbed Dynamical Systems

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Abstract

We discuss probability phenomena associated with passages through separatrices and passages through resonances in perturbed dynamical systems. The theory which describes these phenomena has applications in different problems including problems of capture of satellites into resonances, acceleration of charged particles, chaotic advection of impurities.

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Authors and Affiliations

  1. Space Research Institute, Profsoyuznaya 84/32, Moscow, 117810, Russia

    Anatoly Neishtadt

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  1. Polish Academy of Sciences, Warsaw, Poland

    Witold Gutkowski  & Tomasz A. Kowalewski  & 

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Neishtadt, A. (2005). Probability Phenomena in Perturbed Dynamical Systems. In: Gutkowski, W., Kowalewski, T.A. (eds) Mechanics of the 21st Century. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3559-4_16

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  • DOI: https://doi.org/10.1007/1-4020-3559-4_16

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