Modulation of Localized States in Electroconvection

Details Modulation of Localized States in Electroconvection Modulation of Localized States in Electroconvection

2002-01-25

arxiv.org/abs/nlin/0201048v1

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, 4 figures

Scientific paper

10.1103/PhysRevE.65.057204

We report on the effects of temporal modulation of the driving force on a particular class of localized states, known as worms, that have been observed in electroconvection in nematic liquid crystals. The worms consist of the superposition of traveling waves and have been observed to have unique, small widths, but to vary in length. The transition from the pure conduction state to worms occurs via a backward bifurcation. A possible explanation of the formation of the worms has been given in terms of coupled amplitude equations. Because the worms consist of the superposition of traveling waves, temporal modulation of the control parameter is a useful probe of the dynamics of the system. We observe that temporal modulation increases the average length of the worms and stabilizes worms below the transition point in the absence of modulation.

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