Optical textures: characterizing spatiotemporal chaos
Pattern Formation and Solitons
2016-08-24 v2 Chaotic Dynamics
Abstract
Macroscopic systems subjected to injection and dissipation of energy can exhibit complex spatiotemporal behaviors as result of dissipative self-organization. Here, we report a one and two dimensional pattern forming set up, which exhibits a transition from stationary patterns to spatiotemporal chaotic textures, based on a nematic liquid crystal layer with spatially modulated input beam and optical feedback. Using an adequate projection of spatiotemporal diagrams, we determine the largest Lyapunov exponent. Jointly, this exponent and Fourier transform allow us to distinguish between spatiotemporal chaos and amplitude turbulence concepts, which are usually merged.
Cite
@article{arxiv.1601.00844,
title = {Optical textures: characterizing spatiotemporal chaos},
author = {Marcel G. Clerc and Gregorio González-Cortés and Vincent Odent and Mario Wilson},
journal= {arXiv preprint arXiv:1601.00844},
year = {2016}
}
Comments
8 pages, 5 figures