Spatiotemporal bifurcation phenomena with temporal period doubling: Patterns in vibrated sand

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61 Scopus citations

Abstract

This paper examines the consequences of the interaction between temporal period doubling and spatial pattern formation. We propose a simple discrete time, spatially continuous system, where the discrete time dynamics incorporates period doubling and the spatial operator imposes patterning at a preferred length scale. We find that this model displays a variety of bifurcations between different spatiotemporal states, and these bifurcations are generic in that they do not depend on the details of the model. The results from our simple model bear remarkable similarities with recent experiments on a vertically vibrated granular layer.

Original languageEnglish (US)
Pages (from-to)3495-3498
Number of pages4
JournalPhysical review letters
Volume80
Issue number16
DOIs
StatePublished - 1998
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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