Wednesday, May 21

3:00 PM-5:00 PM
Ballroom I - Level B

Periodic Orbits in Chaotic Systems

The role of periodic orbits in chaotic systems is well known to be of fundamental theoretical and practical importance. For example, chaotic behavior is often undesirable, and if the dynamics are low dimensional, it may be possible to replace chaos with stable periodic behavior. This minisymposium addresses recent theoretical results that are of importance to practical situations. In particular, we address the role of numerical simulations in identifying periodic orbits, the theoretical advantages to stabilizing low-periodic trajectories via feedback control, and the fundamental problem of the occurrence of stable periodicity in high dimensional chaotic systems.

Organizers: Ernest Barreto and Edward Ott
University of Maryland, College Park

3:00 Optimal Periodic Orbits of Chaotic Systems: Control and Bifurcations
Edward Ott, Organizer; and Brian R. Hunt, University of Maryland, College Park
3:30 From High Dimensional Chaos to Stable Periodic Orbits: the Structure of Parameter Space
Ernest Barreto, Organizer; Brian R. Hunt, Celso Grebogi, and James A. Yorke, University of Maryland, College Park
4:00 Unstable Dimension Variability: A Source of Nonhyperbolicity in Chaotic Systems
Eric J. Kostelich, Arizona State University; Ittai Kan, George Mason University; Celso Grebogi, University of Maryland, College Park; Edward Ott, Organizer; and James A. Yorke, University of Maryland, College Park
4:30 Periodic Shadowing
Huseyin Kocak, University of Miami

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MMD, 1/31/97