Time-delayed-feedback control of pattern formation in symmetrical bistable media

Ya-feng He; Bao-quan; Bambi Hu

doi:10.1063/1.3481101 10.1063/1.3481101 10.1063/1.3481101

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arXiv · 1004.2580

Time-delayed-feedback control of pattern formation in symmetrical bistable media

Ya-feng He·Bao-quan·Bambi Hu

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Abstract

Effects of time-delayed-feedback on pattern formation are studied in symmetrical bistable media. The results show that the time delay alters the behavior of the front bifurcation remarkably. The critical point of the Nonequilibrium Ising-Bloch bifurcation is shifted, which results from the competition between the feedbacks of the two variables. The stability of the front to transverse perturbation is also changed by the time delay, leading to a transition between spiral and labyrinthine patterns. One can control the pattern formation in bistable media by using time-delayed-feedback.

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Ya-feng He, Bao-quan, Bambi Hu. 2010-09-18. Time-delayed-feedback control of pattern formation in symmetrical bistable media. https://doi.org/10.1063/1.3481101%2010.1063%2F1.3481101%2010.1063%2F1.3481101

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