Exact Phase Solutions of Nonlinear Oscillators on Two-dimensional Lattice

Tsunehiro Yokoi; Hiroyasu Yamada; Kazuhiro Nozaki

doi:10.1143/jpsj.73.358

Journal of the Physical Society of Japan

Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015

Exact Phase Solutions of Nonlinear Oscillators on Two-dimensional Lattice

Tsunehiro Yokoi, Hiroyasu Yamada, Kazuhiro Nozaki

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Keywords: complex Ginzburg–Landau equation, square lattice, spiral, target, Hopf bifurcation

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2004 Volume 73 Issue 2 Pages 358-363

DOI https://doi.org/10.1143/jpsj.73.358

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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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