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Exact Phase Solutions of Nonlinear Oscillators on Two-dimensional Lattice

Tsunehiro Yokoi·Hiroyasu Yamada·Kazuhiro Nozaki
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Abstract

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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Tsunehiro Yokoi, Hiroyasu Yamada, Kazuhiro Nozaki. 2003-09-04. Exact Phase Solutions of Nonlinear Oscillators on Two-dimensional Lattice. https://doi.org/10.1143/jpsj.73.358

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