A numerical method for the dynamics and stability of spiral waves

Faridon Amdjadi

doi:10.1016/j.amc.2010.09.002

A numerical method for the dynamics and stability of spiral waves

Faridon Amdjadi

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

12 Citations (Scopus)

Abstract

In this paper we propose a new method of investigating the change of dynamics in reaction–diffusion equations, which is based on approximating the Euclidian norm of state variables along with the introduction of phase space. Our method is simple in implementation and can be applied to study the dynamics of multiple spirals. The method is extended to study the stability of spiral waves by developing an algorithm which is applied to circular and meandering motions.

Original language	English
Pages (from-to)	3385-3391
Number of pages	7
Journal	Applied Mathematics and Computation
Volume	217
Issue number	7
Early online date	9 Sept 2010
DOIs	https://doi.org/10.1016/j.amc.2010.09.002
Publication status	Published - Dec 2010

Keywords

FitzHugh–Nagumo type model
spiral dynamics
stability

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10.1016/j.amc.2010.09.002

Cite this

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title = "A numerical method for the dynamics and stability of spiral waves",

abstract = "In this paper we propose a new method of investigating the change of dynamics in reaction–diffusion equations, which is based on approximating the Euclidian norm of state variables along with the introduction of phase space. Our method is simple in implementation and can be applied to study the dynamics of multiple spirals. The method is extended to study the stability of spiral waves by developing an algorithm which is applied to circular and meandering motions.",

keywords = "FitzHugh–Nagumo type model, spiral dynamics, stability",

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N1 - Publication info updated TM 25-11-16

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N2 - In this paper we propose a new method of investigating the change of dynamics in reaction–diffusion equations, which is based on approximating the Euclidian norm of state variables along with the introduction of phase space. Our method is simple in implementation and can be applied to study the dynamics of multiple spirals. The method is extended to study the stability of spiral waves by developing an algorithm which is applied to circular and meandering motions.

AB - In this paper we propose a new method of investigating the change of dynamics in reaction–diffusion equations, which is based on approximating the Euclidian norm of state variables along with the introduction of phase space. Our method is simple in implementation and can be applied to study the dynamics of multiple spirals. The method is extended to study the stability of spiral waves by developing an algorithm which is applied to circular and meandering motions.

KW - FitzHugh–Nagumo type model

KW - spiral dynamics

KW - stability

U2 - 10.1016/j.amc.2010.09.002

DO - 10.1016/j.amc.2010.09.002

M3 - Article

VL - 217

SP - 3385

EP - 3391

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 7

ER -

A numerical method for the dynamics and stability of spiral waves

Abstract

Keywords

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