Phys. Rev. E 58, R4064–R4067 (1998)

Transition from propagating localized states to spatiotemporal chaos in phase dynamics

Abstract

References

Citing Articles (7)

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Helmut R. Brand^1,2 and Robert J. Deissler^1,3
¹Center for Nonlinear Studies, MS-B 258, Los Alamos National Laboratory, University of California, Los Alamos, New Mexico 87545
²Theoretische Physik III, Universität Bayreuth, D95440 Bayreuth, Federal Republic of Germany
³Innovative Technologies, 4540 West 213 St., Fairview Park, Ohio 44126

Received 6 July 1998; published in the issue dated October 1998

We study the nonlinear phase equation for propagating patterns. We investigate the transition from a propagating localized pattern to a space-filling spatiotemporally disordered pattern and discuss in detail to what extent there are propagating localized states that breathe in time periodically, quasiperiodically, and chaotically. Differences and similarities to the phenomena occurring for the quintic complex Ginzburg-Landau equation are elucidated. We also discuss for which experimentally accessible systems one could observe the phenomena described.

URL:

http://link.aps.org/doi/10.1103/PhysRevE.58.R4064

DOI:

10.1103/PhysRevE.58.R4064

PACS:

05.70.Ln, 47.20.Ky, 47.10.+g

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Phys. Rev. E 58, R4064–R4067 (1998)

Transition from propagating localized states to spatiotemporal chaos in phase dynamics