Spatiotemporal complexity in traveling patterns

Christian Elphick, Ehud Meron, E. A. Spiegel

Research output: Contribution to journalArticlepeer-review

73 Scopus citations

Abstract

This is a study of the nonlinear interactions of solitary waves or impulses in homogeneous, extended media. We obtain the set of ordinary differential equations for the positions of the impulses in the nearest-neighbor approximation. Solutions with constant velocity lead to pattern maps that give the successive spacings of the impulses. From among the infinitely many metastable patterns given by the maps, the system chooses one asymptotically through a hierarchical evolution.

Original languageEnglish
Pages (from-to)496-499
Number of pages4
JournalPhysical Review Letters
Volume61
Issue number5
DOIs
StatePublished - 1 Jan 1988
Externally publishedYes

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