A renormalisation approach to excitable reaction-diffusion waves in fractal media

Janan Abdulbake; Anthony J. Mulholland; Jagannathan Gomatam

doi:10.1142/S0218348X03002191

A renormalisation approach to excitable reaction-diffusion waves in fractal media

Janan Abdulbake, Anthony J. Mulholland, Jagannathan Gomatam

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

8 Citations (Scopus)

177 Downloads (Pure)

Abstract

Of fundamental importance to wave propagation in a wide range of physical phenomena is the structural geometry of the supporting medium. Recently, there have been several investigations on wave propagation in fractal media. We present here a renormalization approach to the study of reaction-diffusion (RD) wave propagation on finitely ramified fractal structures. In particular we will study a Rinzel-Keller (RK) type model, supporting travelling waves on a Sierpinski gasket (SG), lattice.

Original language	English
Pages (from-to)	315-330
Number of pages	16
Journal	Chaos, Solitons and Fractals
Volume	11
Issue number	4
DOIs	https://doi.org/10.1142/S0218348X03002191
Publication status	Published - 2003

Keywords

wave propagation
fractals
renormalisation
mathematics

Access to Document

10.1142/S0218348X03002191

abdulbake_2003_Fractals8.pdfAccepted author manuscript, 861 KB

Cite this

@article{3e5f4d3926974addbfca7f5c979c27d0,

title = "A renormalisation approach to excitable reaction-diffusion waves in fractal media",

abstract = "Of fundamental importance to wave propagation in a wide range of physical phenomena is the structural geometry of the supporting medium. Recently, there have been several investigations on wave propagation in fractal media. We present here a renormalization approach to the study of reaction-diffusion (RD) wave propagation on finitely ramified fractal structures. In particular we will study a Rinzel-Keller (RK) type model, supporting travelling waves on a Sierpinski gasket (SG), lattice.",

keywords = "wave propagation, fractals, renormalisation, mathematics",

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

year = "2003",

doi = "10.1142/S0218348X03002191",

language = "English",

volume = "11",

pages = "315--330",

journal = "Chaos, Solitons and Fractals",

issn = "0960-0779",

number = "4",

}

TY - JOUR

T1 - A renormalisation approach to excitable reaction-diffusion waves in fractal media

AU - Abdulbake, Janan

AU - Mulholland, Anthony J.

AU - Gomatam, Jagannathan

PY - 2003

Y1 - 2003

N2 - Of fundamental importance to wave propagation in a wide range of physical phenomena is the structural geometry of the supporting medium. Recently, there have been several investigations on wave propagation in fractal media. We present here a renormalization approach to the study of reaction-diffusion (RD) wave propagation on finitely ramified fractal structures. In particular we will study a Rinzel-Keller (RK) type model, supporting travelling waves on a Sierpinski gasket (SG), lattice.

AB - Of fundamental importance to wave propagation in a wide range of physical phenomena is the structural geometry of the supporting medium. Recently, there have been several investigations on wave propagation in fractal media. We present here a renormalization approach to the study of reaction-diffusion (RD) wave propagation on finitely ramified fractal structures. In particular we will study a Rinzel-Keller (RK) type model, supporting travelling waves on a Sierpinski gasket (SG), lattice.

KW - wave propagation

KW - fractals

KW - renormalisation

KW - mathematics

U2 - 10.1142/S0218348X03002191

DO - 10.1142/S0218348X03002191

M3 - Article

SN - 0960-0779

VL - 11

SP - 315

EP - 330

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 4

ER -

A renormalisation approach to excitable reaction-diffusion waves in fractal media

Abstract

Keywords

Access to Document

Fingerprint

Cite this