Polymorphisms and adiabatic chaos
2010 ◽
Vol 31
(1)
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pp. 259-284
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Keyword(s):
AbstractAt 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.
2018 ◽
Vol 43
(1)
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pp. 137
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2017 ◽
Vol 97
(1)
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pp. 69-79
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1989 ◽
Vol 9
(3)
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pp. 433-453
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1987 ◽
Vol 18
(1)
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pp. 1-33
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Keyword(s):
2010 ◽
Vol 13
(03)
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pp. 393-411
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2014 ◽
Vol 17
(01)
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pp. 1450005
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Keyword(s):