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Polymorphisms and adiabatic chaos

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journal contribution
posted on 2014-08-15, 09:27 authored by Anatoly NeishtadtAnatoly Neishtadt, Dmitry Treschev
At the end of the last century Vershik introduced some dynamical systems, called polymorphisms. Systems of this kind are multivalued self-maps of an interval, where (roughly speaking) each branch has some probability. By definition, the standard Lebesgue measure should be invariant. Unexpectedly, some class of polymorphisms appeared in the problem of destruction of an adiabatic invariant after a multiple passage through a separatrix. We discuss ergodic properties of polymorphisms from this class.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

ERGODIC THEORY AND DYNAMICAL SYSTEMS

Volume

31

Pages

259 - 284 (26)

Citation

NEISHTADT, A. and TRESCHEV, D., 2011. Polymorphisms and adiabatic chaos. Ergodic Theory and Dynamical Systems, 31(1), pp.259-284.

Publisher

© Cambridge University Press

Version

  • VoR (Version of Record)

Publication date

2011

ISSN

0143-3857

Language

  • en