Sunday, May 23

Synchronous Chaos and Invariant Manifolds

10:00 AM-12:00 PM
Room: Ballroom II

The phenomenon of synchronization of chaotic systems is interesting both because of potential applications and as a model for complex, but coherent motion in spatially extended systems, for example, biological systems. Recent work has now linked the phenomenon of synchronization to the more general one of motion on an invariant manifold. This symposium covers very recent results: (1) the use of k-hyperbolic manifolds to generate conditions for synchronization, (2) the possibility of failure of numerical shadowing of synchronous trajectories in some systems, (3) two attractor communication and (4) formulation of sufficient conditions for robust synchronization in real systems.

Organizer: Louis M. Pecora
Naval Research Laboratory, Washington, D.C.

10:00-10:25 Invariant Manifolds and Chaotic Synchronization
Kresimir Josic, Pennsylvania State University and Boston University
10:30-10:55 Unstable Dimension Variability and Modeling of Coupled Chaotic Oscillators
Ying-Cheng Lai, University of Kansas, Lawrence; and Celso Grebogi, University of Maryland, College Park
11:00-11:25 Using Two-Attractor Chaotic Systems for Communication
Tom Carroll, Naval Research Laboratory, Washington, D.C.; and Louis M. Pecora, Organizer
11:30-11:55 Experimental Evaluation of Several Proposed Criteria for Synchronization
UpdatedJ. Blakely, Duke University

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MMD, 3/22/99