Sunday, May 23

Lattice Dynamical Systems: Theory and Applications

10:00 AM-12:00 PM
Room: Superior B

Lattice Dynamical Systems (LDS) emerged since mid-eighties as a new tool to study space-time dynamics. LDS also serve as an extremely useful tool for numerical modeling of spatially extended dynamical systems. More recently LDS were successfully used for a control of chaos in extended systems and for the studies of selforganization in spatially discrete systems. The speakers will discuss thermodynamics of LDS, control of extended dynamical systems, and order-chaos transitions and collective behavior in LDS.

Organizer: Leonid A. Bunimovich
Georgia Institute of Technology

10:00-10:25 Bifurcations of Localized Structures in Lattice Systems
Leonid A. Bunimovich, Organizer
10:30-10:55 Collective Behavior of Lattices of Strongly-Coupled Chaotic Maps
Hugues Chaté and Anaël Lemaître, Centre d'Etudes de Saclay, France
11:00-11:25 Symmetry and Control of Extended Dynamical Systems
Roman O. Grigoriev, University of Chicago
11:30-11:55 Existence, Uniqueness, and Smooth Dependence of Thermodynamic Limits of SRB Measures
Miaohua Jiang, Wake Forest University

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MMD, 3/2/99
LMH, 1/7/99; tjf, 2/1/99