Department of Applied Mathematics at the University of Colorado at Boulder
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Speaker:  

Iuliana Oprea

Date of Talk:  

11/4/10

Affiliation:  

Department of Mathematics, Colorado State University

Title:  

From order to spatiotemporal complexity in nematic electroconvection

Abstract

The electroconvection in nematic liquid crystals provides a rich variety of pattern formation phenomena and has become a paradigm for the study of patterns in anisotropic dissipative systems. We present the results of a bifurcation analysis of the weak electrolyte model for the nematic electroconvection in a planar layer. Globally coupled complex Ginzburg Landau equations are used to investigate the bifurcating convective patterns beyond threshold.

The focus will be on the transition from periodic solutions to spatiotemporal chaos and intermittency, in both numerical simulations of the mathematical model and the complex spatiotemporal dynamics recorded at KSU, slightly above the onset value, for the liquid crystal I52.