Thursday, July 16

CP17
Chaos

10:30 AM-12:30 PM
Chair: Lloyd N. Trefethen, Oxford University Computing Laboratory, United Kingdom
Room: Sidney Smith 1070

10:30 Surprising Behavior of the Random Recurrence $xn+1 = x_n \pm \beta x_{n-1}$

Mark Embree and Lloyd N. Trefethen, Oxford University Computing Laboratory, United Kingdom

10:45 Rigorous Containment of Shadows of High-Dimensional Dynamical Systems

Wayne B. Hayes, University of Toronto, Canada

11:00 Onset of Chaos in Vortex Sheet Roll-Up

Robert Krasny, University of Michigan, Ann Arbor; and Monika Nitsche, Tufts University

11:15 Karhunen-Loeve Decomposition as a Measure of Coherence in Disordered Arrays of Coupled Oscillators

Thomas W. Carr, Southern Methodist University; and Ira B. Schwartz, Naval Research Laboratory

11:30 Some Analytical Tools for Deterministic Chaos

Alexander Tovbis, University of Central Florida

11:45 Effect of Noise on the Emergent Collective Behaviour of Diffusively Coupled Biological Oscillators

Arthur Sherman, National Institutes of Health; and Gerda de Vries, University of Alberta, Canada

12:00 Discrete Physicochemical Reactions Dynamics and Its Applications

Vladimir Gontar, International Group for Chaos Studies at Ben-Gurion University of the Negev, Israel

12:15 Dynamical Study of the Q-Factor in Lasing Microcavities

Ioana Triandaf and Ira B. Schwartz, U.S. Naval Research Laboratory