Abstract
Macroscopic systems subjected to external forcing exhibit complex spatiotemporal behaviors as result of dissipative self-organization. Based on a nematic liquid crystal layer with spatially modulated input beam and optical feedback, we set up a two-dimensional pattern forming system which exhibits a transition from stationary to spatiotemporal chaotic patterns. Using an adequate projection of spatiotemporal diagrams, we determine the largest Lyapunov exponent. This exponent allows us to characterize the transition presented by this system. This exponent and Fourier transforms lead to a reconciliation of experimental observations of spatiotemporal complexity and theoretical developments.
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Acknowledgments
M.G.C. acknowledges the support of FONDECYT N\(^{\circ } 1150507\). M.W. acknowledges the support of FONDECYT N\(^{\circ } 3140387\).
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Clerc, M.G., González-Cortés, G., Wilson, M. (2016). Experimental Spatiotemporal Chaotic Textures in a Liquid Crystal Light Valve with Optical Feedback. In: Tlidi, M., Clerc, M. (eds) Nonlinear Dynamics: Materials, Theory and Experiments. Springer Proceedings in Physics, vol 173. Springer, Cham. https://doi.org/10.1007/978-3-319-24871-4_8
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DOI: https://doi.org/10.1007/978-3-319-24871-4_8
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