Shape and size effects in localized hexagonal patterns

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We study the process of localization of a hexagonal pattern in a uniform background, specifically, the role played by the shape and size of the domain where the hexagonal pattern is confined. We base our analysis on a numerical study of a SwiftHohenberg type equation (which exhibits coexistence between hexagons and a uniform state), and in a scale expansion to estimate the stress undergoing by the interface (the curve that separates the hexagonal phase from the uniform one). Our scaling approach supplies us a good physical picture of what we observe numerically.
Original languageAmerican English
Pages (from-to)2727-2743
Number of pages17
JournalInternational Journal of Bifurcation and Chaos
Issue number8
StatePublished - 1 Jan 2009


  • Hexagons
  • Localized structures
  • Pattern formation

Cite this