Spiral waves in spatially discrete λ - ω systems

Joseph E. Paullet; G. Bard Ermentrout

doi:10.1142/s0218127498000036

Spiral waves in spatially discrete λ - ω systems

Joseph E. Paullet, G. Bard Ermentrout

School of Science (Behrend)

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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 d_c such that if d > d_c, 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 language	English (US)
Pages (from-to)	33-40
Number of pages	8
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	8
Issue number	1
DOIs	https://doi.org/10.1142/s0218127498000036
State	Published - Jan 1998

All Science Journal Classification (ASJC) codes

Modeling and Simulation
Engineering (miscellaneous)
General
Applied Mathematics

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title = "Spiral waves in spatially discrete λ - ω systems",

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.",

author = "Paullet, {Joseph E.} and Ermentrout, {G. Bard}",

year = "1998",

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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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AN - SCOPUS:0031987246

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JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

IS - 1

ER -

Spiral waves in spatially discrete λ - ω systems

Abstract

All Science Journal Classification (ASJC) codes

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