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

Janan Abdulbake; Anthony J. Mullholland; Jagannathan Gomatam

doi:10.1016/j.chaos.2003.09.003

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

Janan Abdulbake, Anthony J. Mullholland, Jagannathan Gomatam

Glasgow Caledonian University

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

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
Journal	Chaos, Solitons and Fractals
DOIs	https://doi.org/10.1016/j.chaos.2003.09.003
Publication status	Published - 1 May 2004

Keywords

applied mathematics
reaction-diffusion waves
fractal lattice

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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.",

keywords = "applied mathematics, reaction-diffusion waves, fractal lattice",

author = "Janan Abdulbake and Mullholland, {Anthony J.} and Jagannathan Gomatam",

note = "Originally published in: Chaos, Solitons and Fractals (2004), 20 (4), pp.799-814.",

year = "2004",

month = may,

day = "1",

doi = "10.1016/j.chaos.2003.09.003",

language = "English",

journal = "Chaos, Solitons and Fractals",

issn = "0960-0779",

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

AU - Abdulbake, Janan

AU - Mullholland, Anthony J.

AU - Gomatam, Jagannathan

N1 - Originally published in: Chaos, Solitons and Fractals (2004), 20 (4), pp.799-814.

PY - 2004/5/1

Y1 - 2004/5/1

N2 - 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.

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 - applied mathematics

KW - reaction-diffusion waves

KW - fractal lattice

U2 - 10.1016/j.chaos.2003.09.003

DO - 10.1016/j.chaos.2003.09.003

M3 - Article

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

SN - 0960-0779

ER -

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

Abstract

Keywords

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