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UID:7971@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20151117T110500
DTEND;TZID=Europe/Paris:20151117T120000
DTSTAMP:20241120T205617Z
URL:https://www.i2m.univ-amu.fr/evenements/how-sticky-is-the-chaos-order-b
 oundary/
SUMMARY:Carl P. Dettmann (University of Bristol\, UK): How sticky is the ch
 aos/order boundary?
DESCRIPTION:Carl P. Dettmann: Hamiltonian dynamical systems with mixed phas
 e space are ubiquitous\, but notoriously poorly understood\, partly due to
  complicated structure of the boundary between chaotic and ordered regions
 . Mushroom billiards were introduced by Bunimovich in 2001 as an example o
 f sharply divided phase space. A billiard comprises a point particle movin
 g uniformly in a specified region except for mirror-like reflections from 
 the boundary\, here shaped like a mushroom with a semicircular cap and pol
 ygonal stem. Later\, Altmann and others pointed out that almost all mushro
 om billiards have parabolic orbits embedded in the chaotic region leading 
 to “stickiness\,” algebraic slowing of the chaotic expansion and mixin
 g properties. A zero measure set of mushroom parameters for which these or
 bits are absent\, and the remaining stickiness\, originating from the boun
 dary of the chaotic region itself\, can be characterised using Diophantine
  approximation methods. The results may shed light on the parameter depend
 ence of stickiness in more general Hamiltonian systems.\n\nhttps://arxiv.o
 rg/abs/1603.00667\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Carl_P._Dettermann.jpg
CATEGORIES:Séminaire,Ernest
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DTSTART:20151025T020000
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