Thursday, May 22

10:00 AM-12:00 PM Ballroom III - Level B

MS47
Control and Shadowing

The talks in this session discuss applications of control and shadowing. The applications include laboratory experiments with a bouncing ball and a double pendulum that use targeting to reach prespecified states; the control of pendulation in a crane attached to a rocking ship; theoretical and numerical results on control in a system whose phase space consists of chaotic sets and KAM surfaces; and a discussion of the limits of deterministic modeling. The notion of "control of chaos" has received a great deal of attention in recent years. The experiments to be discussed in this minisymposium are among the first to (1) deal directly with the "targeting of chaos" problem in a laboratory setting and (2) to discuss applications with real industrial/military importance.

Organizer: Eric J. Kostelich
Arizona State University

10:00 Controllable Targets for Use with Chaotic Controllers

Thomas L. Vincent, University of Arizona

10:30 A Chaotically Forced Pendulum: Ship Cranes at Sea

Guohui Yuan, Brian Hunt, Celso Grebogi, Edward Ott, and James A. Yorke, University of Maryland, College Park; and Eric J. Kostelich, Organizer

11:00 Targeting in Soft Chaotic Hamiltonian Systems

Christian G. Schroer and Edward Ott, University of Maryland, College Park

11:30 Limits to Deterministic Modeling

James A. Yorke, University of Maryland, College Park

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