Secondary instabilities form a codimension-2 point accompanied by a homoclinic bifurcation

Nonlinear Sciences – Pattern Formation and Solitons

Scientific paper

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4 pages, 4 figures, submitted to PRL

Scientific paper

10.1103/PhysRevLett.81.4144

A study of secondary instabilities in ac-driven electroconvection of a planarly aligned nematic liquid crystal is presented. At low frequencies one has a transition from normal rolls to a zig-zag pattern and at high frequencies a direct transition from normal to abnormal rolls. The crossover defines a codimension-2 point. This point is also the origin of a line of homoclinic bifurcations, which enable the transition from zig-zags to abnormal rolls at lower frequencies.

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