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arxiv: chao-dyn/9812010 · v2 · submitted 1998-12-03 · chao-dyn · nlin.CD

Boundary Effects in The Complex Ginzburg-Landau Equation

classification chao-dyn nlin.CD
keywords boundarycomplexeffectsequationginzburg-landauaddressedanchoringappear
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The effect of a finite geometry on the two-dimensional complex Ginzburg-Landau equation is addressed. Boundary effects induce the formation of novel states. For example target like-solutions appear as robust solutions under Dirichlet boundary conditions. Synchronization of plane waves emitted by boundaries, entrainment by corner emission, and anchoring of defects by shock lines are also reported.

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