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.