Rotational motion of traveling spots in dissipative systems

Takashi Teramoto, Katsuya Suzuki, Yasumasa Nishiura

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

What is the origin of rotational motion? An answer is presented through the study of the dynamics for spatially localized spots near codimension 2 singularity consisting of drift and peanut instabilities. The drift instability causes a head-tail asymmetry in spot shape, and the peanut one implies a deformation from circular to peanut shape. Rotational motion of spots can be produced by combining these instabilities in a class of three-component reaction-diffusion systems. Partial differential equations dynamics can be reduced to a finite-dimensional one by projecting it to slow modes. Such a reduction clarifies the bifurcational origin of rotational motion of traveling spots in two dimensions in close analogy to the normal form of 1:2 mode interactions.

Original languageEnglish
Article number046208
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume80
Issue number4
DOIs
Publication statusPublished - 2009 Oct 20
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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