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

*MMD, 2/9/99*

*LMH, 1/7/99; tjf, 2/1/99*