Spiral waves in a coupled network of sine-circle maps

Sung Jae Woo, Jysoo Lee, Kyoung Jin Lee

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

A coupled two-dimensional lattice of sine-circle maps is investigated numerically as a simple model for coupled network of nonlinear oscillators under a spatially uniform, temporally periodic, external forcing. Various patterns, including quasiperiodic spiral waves, periodic, banded spiral waves in several different polygonal shapes, and domain patterns, are observed. The banded spiral waves and domain patterns match well with the results of earlier experimental studies. Several transitions are analyzed. Among others, the source-sink transition of a quasiperiodic spiral wave and the cascade of “side-doubling” bifurcations of polygonal spiral waves are of great interest.

Original languageEnglish
Number of pages1
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume68
Issue number1
DOIs
Publication statusPublished - 2003 Jan 1

Fingerprint

Circle Map
Spiral Wave
Nonlinear Oscillator
Doubling
sinks
Forcing
Cascade
Experimental Study
cascades
Bifurcation
oscillators

ASJC Scopus subject areas

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

Cite this

Spiral waves in a coupled network of sine-circle maps. / Woo, Sung Jae; Lee, Jysoo; Lee, Kyoung Jin.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 68, No. 1, 01.01.2003.

Research output: Contribution to journalArticle

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