Anti-integrability in Dynamical Systems – an Overview and Perspective
Time: May 6 (Wed.) 14:20-15:20
Venue: M212, Gongguan Campus, NTNU
Yi-Chiuan Chen
Associate Research Fellow, Institute of Mathematics, Academia Sinica
In this talk, I shall first recall the concept of anti-integrable limit, which was introduced by Aubry and Abramovici in 1990 to prove the existence of chaotic orbits for the standard map. Secondly, I shall review the development and application of this concept to other fields of dynamical systems. Main attention will be paid to the following issues: how do we know whether a system admits an anti-integrable limit, how to formulate, and how to prove. Lastly, I shall discuss some topics that are related to the anti-integrable limit.
More information: https://www.math.sinica.edu.tw/members/fe82c220-73ce-455d-bdc7-747d8bc49dbc?page_id=16