Sunday, May 23

MS7
Dynamics of the Complex Ginzburg-Landau Equation: Experiment and Theory

10:00 AM-12:00 PM
Room: Maybird

The Complex Ginzburg-Landau (CGL) equation and its variants describe a wide variety of physical phenomena. The rich dynamics coupled with the relative simplicity of the equations create a fertile landscape for studying the dynamics of nonlinear PDEs and the physical systems they describe in this minisymposium. Experimentalists (R.Ecke, M.Dennin) will discuss the determination of CGL coefficients and evidence for periodic and chaotic behavior in two fluid systems. Theorists (H.Riecke, D.Egolf) will describe behavioral transitions, the role of topological defects, and Langevin equation descriptions of long-wavelength behavior in spatiotemporally chaotic CGL equations.

Organizers: David A. Egolf
Los Alamos National Laboratory

10:00-10:25 Transition from Ordered to Disordered Defect Chaos

Hermann Riecke, Northwestern University; and Glen D. Granzow, Idaho State University

10:30-10:55 Spatiotemporal Chaos in Electroconvection: An Application of Coupled CGL Equations

Michael Dennin, University of California, Irvine

11:00-11:25 The Complex Ginzburg-Landau Equation: Connection to Physical Experiment

Robert E. Ecke, Los Alamos National Laboratory

11:30-11:55 Long Wavelength Behavior in the 1D Complex Ginzburg-Landau Equation

David A. Egolf, Organizer

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MMD, 2/9/99
LMH, 1/7/99; tjf, 2/1/99