Existence and stability of reaction-diffusion waves on a fractal lattice

J. Abdulbake; A. Mulholland; J. Gomatam

doi:10.1016/j.chaos.2003.09.003

Existence and stability of reaction-diffusion waves on a fractal lattice

J. Abdulbake, A. Mulholland, J. Gomatam

Mathematics And Statistics

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

7 Citations (Scopus)

Abstract

This paper discusses reaction-diffusion wave propagation in fractal lattices, of infinite generation level. We describe how an input/output renormalisation approach can be used to investigate the existence of travelling waves. We also develop a framework for discussing the stability of these travelling waves.

Original language	English
Pages (from-to)	799-814
Number of pages	15
Journal	Chaos, Solitons and Fractals
Volume	20
Issue number	4
DOIs	https://doi.org/10.1016/j.chaos.2003.09.003
Publication status	Published - 2004

Keywords

fractal lattices
wave theory
numerical mathematics
fractals
solitons

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10.1016/j.chaos.2003.09.003

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title = "Existence and stability of reaction-diffusion waves on a fractal lattice",

abstract = "This paper discusses reaction-diffusion wave propagation in fractal lattices, of infinite generation level. We describe how an input/output renormalisation approach can be used to investigate the existence of travelling waves. We also develop a framework for discussing the stability of these travelling waves.",

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author = "J. Abdulbake and A. Mulholland and J. Gomatam",

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T1 - Existence and stability of reaction-diffusion waves on a fractal lattice

AU - Abdulbake, J.

AU - Mulholland, A.

AU - Gomatam, J.

PY - 2004

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AB - This paper discusses reaction-diffusion wave propagation in fractal lattices, of infinite generation level. We describe how an input/output renormalisation approach can be used to investigate the existence of travelling waves. We also develop a framework for discussing the stability of these travelling waves.

KW - fractal lattices

KW - wave theory

KW - numerical mathematics

KW - fractals

KW - solitons

UR - http://dx.doi.org/10.1016/j.chaos.2003.09.003

U2 - 10.1016/j.chaos.2003.09.003

DO - 10.1016/j.chaos.2003.09.003

M3 - Article

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SP - 799

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JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 4

ER -

Existence and stability of reaction-diffusion waves on a fractal lattice

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Keywords

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