Spiral waves in spatially discrete λ - ω systems

Joseph E. Paullet, G. Bard Ermentrout

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The existence of stable spiral wave solutions in a spatially discrete λ - ω system is proven. The waves are shown to exist only if the coupling parameter d is sufficiently small. There is a critical value dc such that if d > dc, the spiral wave solution ceases to exists. This is in agreement with the behavior of such waves in spatially continuous λ - ω systems on finite domains.

Original languageEnglish (US)
Pages (from-to)33-40
Number of pages8
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume8
Issue number1
StatePublished - Jan 1 1998

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Spiral Wave
Discrete Systems
Continuous System
Critical value

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Applied Mathematics

Cite this

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abstract = "The existence of stable spiral wave solutions in a spatially discrete λ - ω system is proven. The waves are shown to exist only if the coupling parameter d is sufficiently small. There is a critical value dc such that if d > dc, the spiral wave solution ceases to exists. This is in agreement with the behavior of such waves in spatially continuous λ - ω systems on finite domains.",
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Spiral waves in spatially discrete λ - ω systems. / Paullet, Joseph E.; Ermentrout, G. Bard.

In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 8, No. 1, 01.01.1998, p. 33-40.

Research output: Contribution to journalArticle

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N2 - The existence of stable spiral wave solutions in a spatially discrete λ - ω system is proven. The waves are shown to exist only if the coupling parameter d is sufficiently small. There is a critical value dc such that if d > dc, the spiral wave solution ceases to exists. This is in agreement with the behavior of such waves in spatially continuous λ - ω systems on finite domains.

AB - The existence of stable spiral wave solutions in a spatially discrete λ - ω system is proven. The waves are shown to exist only if the coupling parameter d is sufficiently small. There is a critical value dc such that if d > dc, the spiral wave solution ceases to exists. This is in agreement with the behavior of such waves in spatially continuous λ - ω systems on finite domains.

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