Institute of Mathematics for Industry

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Anti-integrable Limits, Symbolic Dynamics and Chaos


Hold Date 2011-10-27 16:00~2011-10-27 18:00

Place Seminar Room 6, Faculty of Mathematics building, Ito Campus

Object person  

Speaker Yi-Chiuan Chen 氏 (Academia Sinica, Taiwan)

summary:
The concept of anti-integrable limit introduced by Aubry has now provided an
alternative method to prove the existence of chaotic orbits in some dynamical
systems. In particular, it presents a vivid picture of symbolic dynamics at
the limit. In this talk, examples such as the logistic map, the standard map,
the Henon map, the Sinai billiard, etc. will be used to introduce the concept.
The underlying idea of each example will be emphasized.