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

J. Abdulbake; Anthony Mulholland; J. Gomatam

doi:10.1016/j.chaos.2003.09.003

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

J. Abdulbake, Anthony Mulholland, J. Gomatam

Research output: Contribution to journal › Article (Academic Journal) › peer-review

8 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
Journal	Chaos, Solitons and Fractals
DOIs	https://doi.org/10.1016/j.chaos.2003.09.003
Publication status	Published - 2004

Access to Document

10.1016/j.chaos.2003.09.003

Handle.net

Persistent link

Cite this

@article{0252c31c1578424eb4c16bd2b38c166e,

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.",

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

year = "2004",

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

language = "English",

journal = "Chaos, Solitons and Fractals",

issn = "0960-0779",

publisher = "Elsevier Limited",

}

TY - JOUR

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

AU - Abdulbake, J.

AU - Mulholland, Anthony

AU - Gomatam, J.

PY - 2004

Y1 - 2004

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.

UR - https://pureportal-staging.strath.ac.uk/en/publications/0f51f425-e726-45dd-b7b4-cc10c389ed3b

U2 - 10.1016/j.chaos.2003.09.003

DO - 10.1016/j.chaos.2003.09.003

M3 - Article (Academic Journal)

SN - 0960-0779

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

ER -

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

Abstract

Access to Document

Handle.net

Other files and links

Fingerprint

Cite this