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DTSTART:20171029T020000
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DTSTAMP:20260407T011922Z
UID:5a3a48052a100801721269@ist.ac.at
DTSTART:20180117T090000
DTEND:20180117T100000
DESCRIPTION:Speaker: Vadim Kaloshin\nhosted by Jan Maas\nAbstract: In 1964\
 , V. Arnold constructed an example ofa nearly integrable deterministic sys
 tem exhibiting instabilities. In the 1970s\, physicist B. Chirikov coined 
 the term for this phenomenon Arnold diffusion\, where diffusion refers to 
 stochastic nature of instability. One of the most famous examples of stoch
 astic instabilities for nearly integrable systems is dynamics of Asteroids
  in Kirkwood gaps in the Asteroid belt. The deepest Kirkwood gaps are loca
 ted at 3:1\, 5:2\, 7:3 resonances. For the 3:1 gap the astronomer J. Wisdo
 m proposed an heuristic explanation based on numerical experiments. We wou
 ld like to give a different heuristic explanation for other Kirkwood gaps 
 based on the phenomenon of Arnold diffusion. Moreover\, we take an insight
  into stochastic structure of Kirkwood gap instabilities for a model examp
 le. It turns out that dynamics of large set of orbits there can be describ
 ed using a stochastic diffusion process. A general discussion of Arnold di
 ffusion for convex Hamiltonian systems will follow.
LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
 TA
ORGANIZER:pdelreal@ist.ac.at
SUMMARY:Vadim Kaloshin: Instability in the Solar system and Arnold diffusio
 n
URL:https://talks-calendar.ista.ac.at/events/1031
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