Scaling laws and the prediction of bifurcations in systems modeling pattern formation

Clint Scovel, Ioannis G. Kevrekids, Basil Nicolaenko

Research output: Contribution to journalArticle

19 Scopus citations

Abstract

When the typical pattern size is used as a bifurcation parameter, partial differential equations modeling pattern formation possess a scaling law. We exploit this scaling law in the prediction of the complex bifurcation structure typically observed in such systems. The Kuramoto-Sivashinsky equation with periodic boundary conditions is used as an illustrative example.

Original languageEnglish (US)
Pages (from-to)73-80
Number of pages8
JournalPhysics Letters A
Volume130
Issue number2
DOIs
StatePublished - Jun 27 1988

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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