Controlling spatiotemporal dynamics with time-delay feedback

Michael E. Bleich; Joshua E. S. Socolar

doi:10.1103/physreve.54.r17

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arXiv · chao-dyn/9601006

Controlling spatiotemporal dynamics with time-delay feedback

Michael E. Bleich·Joshua E. S. Socolar

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Abstract

We suggest a spatially local feedback mechanism for stabilizing periodic orbits in spatially extended systems. Our method, which is based on a comparison between present and past states of the system, does not require the external generation of an ideal reference state and can suppress both absolute and convective instabilities. As an example, we analyze the complex Ginzburg-Landau equation in one dimension, showing how the time-delay feedback enlarges the stability domain for travelling waves.

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Michael E. Bleich, Joshua E. S. Socolar. 1996-01-10. Controlling spatiotemporal dynamics with time-delay feedback. https://doi.org/10.1103/physreve.54.r17

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