Formation of a period-2 spiral wave and its subsequent transitions in a Belousov-Zhabotinsky system

Jin Sung Park, Sung Jae Woo, Kyoung Jin Lee

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Recent simulation studies on several different models for reaction-diffusion systems have suggested that complex spiral waves with line defects can arise in period-2 oscillatory media. Here, we report the observation of such wave structures in a laboratory experiment. As in the simulation studies, the underlying line-defects do play a significant role governing the morphology and the temporal dynamics of the observed period-2 spiral waves. Various transitions of the line defect are discussed, as well as the emergence of a line-defect at the onset of a period-1 (P-1) to period-2 (P-2) transition. At the onset, an intermittently breathing line defect with the shape of a P-1 spiral emerges. With a subsequent change in a control parameter, the line-defect first dilates and undergoes a meandering transition, producing a compound tip trajectory. Since line defects are a generic property of complex periodic media, the observed phenomena are expected to arise in a broad class of complex periodic systems.

Original languageEnglish
Pages (from-to)4-11
Number of pages8
JournalJournal of the Korean Physical Society
Volume41
Issue number1
Publication statusPublished - 2002 Jul 1

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Keywords

  • Belousov-Zhabotinsky reaction
  • Complex periodic system
  • Line defect
  • Meandering spiral wave
  • Period-2 spiral wave

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Formation of a period-2 spiral wave and its subsequent transitions in a Belousov-Zhabotinsky system. / Park, Jin Sung; Woo, Sung Jae; Lee, Kyoung Jin.

In: Journal of the Korean Physical Society, Vol. 41, No. 1, 01.07.2002, p. 4-11.

Research output: Contribution to journalArticle

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N2 - Recent simulation studies on several different models for reaction-diffusion systems have suggested that complex spiral waves with line defects can arise in period-2 oscillatory media. Here, we report the observation of such wave structures in a laboratory experiment. As in the simulation studies, the underlying line-defects do play a significant role governing the morphology and the temporal dynamics of the observed period-2 spiral waves. Various transitions of the line defect are discussed, as well as the emergence of a line-defect at the onset of a period-1 (P-1) to period-2 (P-2) transition. At the onset, an intermittently breathing line defect with the shape of a P-1 spiral emerges. With a subsequent change in a control parameter, the line-defect first dilates and undergoes a meandering transition, producing a compound tip trajectory. Since line defects are a generic property of complex periodic media, the observed phenomena are expected to arise in a broad class of complex periodic systems.

AB - Recent simulation studies on several different models for reaction-diffusion systems have suggested that complex spiral waves with line defects can arise in period-2 oscillatory media. Here, we report the observation of such wave structures in a laboratory experiment. As in the simulation studies, the underlying line-defects do play a significant role governing the morphology and the temporal dynamics of the observed period-2 spiral waves. Various transitions of the line defect are discussed, as well as the emergence of a line-defect at the onset of a period-1 (P-1) to period-2 (P-2) transition. At the onset, an intermittently breathing line defect with the shape of a P-1 spiral emerges. With a subsequent change in a control parameter, the line-defect first dilates and undergoes a meandering transition, producing a compound tip trajectory. Since line defects are a generic property of complex periodic media, the observed phenomena are expected to arise in a broad class of complex periodic systems.

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