Thursday, August 10

MS22
Mathematical Approach to Chaotic Itinerancy

3:30 PM-5:30 PM
Anthurium & Ginger (Salon 1 & 2)

Chaotic itinerancy (CI) is considered as a novel universal class of dynamics with large degrees of freedom. In CI, an orbit successively itinerates over (quasi-)attractors which have effectively small degrees of freedom. CI has been discovered independently in globally coupled maps (abbrev. GCM), model neural dynamics, optical turbulence. The speakers in this session will discuss mathematical aspects of CI, especially in GCM, and motivate future research toward better understanding of dynamical systems with large degrees of freedom.

3:30-3:55 Chaotic Itinerancy in Globally Coupled Maps: An Overview

Hiroshi Kokubu, Organizer

4:00-4:25 A Mechanism of Chaotic Itinerancy in Globally Coupled Maps

Motomasa Komuro, Teikyo University of Science & Technology, Japan

4:30-4:55 An Intermittent Synchronization Phenomenon in Coupled Skew Tent Maps

Masato Tsujii, Hokkaido University, Japan

5:00-5:25 The Effect of Chaotic Itinerancy on Computer Simulations

Timothy Sauer, George Mason University, USA