2011_ETDS_plymorphisms.pdf (239.72 kB)
Polymorphisms and adiabatic chaos
journal contribution
posted on 2014-08-15, 09:27 authored by Anatoly NeishtadtAnatoly Neishtadt, Dmitry TreschevAt 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 SYSTEMSVolume
31Pages
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 PressVersion
- VoR (Version of Record)
Publication date
2011ISSN
0143-3857Publisher version
Language
- en