Wednesday, May 26

MS36
Topological Entropy and Average Expansion Rates: Communication, Synchrony, and Dimension

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

Recent work on communicating with chaos has led to renewed interest in calculating topological entropy.The speakers will describe how reducing error rates in chaos communication schemes limits the allowed symbol sequences and thus decreases the topological entropy of the system, new numerical methods for calculating topological entropy in terms of average expansion rates, the identification of new desynchronization bifurcations in coupled chaotic systems using these methods, and discuss methods based on average expansion rates which permit efficient calculation of capacity dimension.

Organizers: Ernest Barreto and Paul So
George Mason University

10:00-10:25 Dynamics of Coding in Communicating with Chaos

Erik M. Bollt, U. S. Naval Academy

10:30-10:55 Calculating Topological Entropy with an Application to Communicating with Chaos

Joeri Jacobs, Edward Ott, and Brian R. Hunt, University of Maryland, College Park

11:00-11:25 From Generalized Synchrony to Topological Decoherence: The Decoherence Bifurcation

Ernest Barreto and Paul So, Organizers

11:30-11:55 Box-counting Dimension Without Boxes: Calculating D_0 from Average Expansion Rates

Paul So and Ernest Barreto, Organizers; and Brian R. Hunt, University of Maryland, College Park

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MMD, 5/15/99