Ginzburg-Landau Spiral Waves in Circular and Spherical Geometries
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Publication:6352151
DOI10.1137/19M1300145arXiv2010.12935MaRDI QIDQ6352151
Publication date: 24 October 2020
Abstract: We prove the existence of -armed spiral wave solutions for the complex Ginzburg-Landau equation in the circular and spherical geometries. We establish a new global bifurcation approach and generalize the results of existence for rigidly-rotating spiral waves. Moreover, we prove the existence of two new patterns: frozen spirals in the circular and spherical geometries, and 2-tip spirals in the spherical geometry.
Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Bifurcations in context of PDEs (35B32) Ginzburg-Landau equations (35Q56)
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