Pattern formation in a two-dimensional array of oscillators with phase-shifted coupling

Pan Jun Kim, Tae Wook Ko, Hawoong Jeong*, Hie Tae Moon

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We investigate the dynamics of a two-dimensional array of oscillators with phase-shifted coupling. Each oscillator is allowed to interact with its neighbors within a finite radius. The system exhibits various patterns including squarelike pinwheels, (anti)spirals with phase-randomized cores, and antiferro patterns embedded in (anti)spirals. We consider the symmetry properties of the system to explain the observed behaviors, and estimate the wavelengths of the patterns by linear analysis. Finally, we point out the implications of our work for biological neural networks.

Original languageEnglish
Article number065201
Number of pages4
JournalPhysical Review E
Volume70
Issue number6
DOIs
Publication statusPublished - 27 Dec 2004
Externally publishedYes

Scopus Subject Areas

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

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