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arxiv: nlin/0309009 · v1 · pith:TTW4OY4Cnew · submitted 2003-09-04 · 🌊 nlin.PS · nlin.CD

Exact Phase Solutions of Nonlinear Oscillators on Two-dimensional Lattice

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keywords solutionsexactlatticeoscillatorspatternscomplexcriteriaderive
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We present various exact solutions of a discrete complex Ginzburg-Landau (CGL) equation on a plane lattice, which describe target patterns and spiral patterns and derive their stability criteria. We also obtain similar solutions to a system of van der Pol's oscillators.

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