Kinetics of the wavetrain in the two-variable Oregonator model

Tian Shou Zhou; Jin Hu Lü; Suo Chun Zhang

doi:10.1088/1009-1963/10/12/302

Kinetics of the wavetrain in the two-variable Oregonator model

Tian Shou Zhou^*
, Jin Hu Lü
, Suo Chun Zhang

^*Corresponding author for this work

Tsinghua University
CAS - Institute of Applied Mathematics

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

1 Scopus citations

Abstract

In this paper we first discuss the asymptotic behaviours of solitary impulses in reaction-diffusion equations of Oregonator under the equal, single and double diffusion conditions, respectively. Then we obtain the asymptotic equations of motion of wavetrains for this model by a superposition of solitary impulses, and finally we analyse the stability of wavetrains.

Original language	English
Pages (from-to)	1096-1102
Number of pages	7
Journal	Chinese Physics (Overseas Edition)
Volume	10
Issue number	12
DOIs	https://doi.org/10.1088/1009-1963/10/12/302
State	Published - 2001
Externally published	Yes

Keywords

Excitable media
Solitary impulse
Wavetrain

Access to Document

10.1088/1009-1963/10/12/302

Cite this

@article{14b0162a75c143a09114c0a42a8b10f4,

title = "Kinetics of the wavetrain in the two-variable Oregonator model",

abstract = "In this paper we first discuss the asymptotic behaviours of solitary impulses in reaction-diffusion equations of Oregonator under the equal, single and double diffusion conditions, respectively. Then we obtain the asymptotic equations of motion of wavetrains for this model by a superposition of solitary impulses, and finally we analyse the stability of wavetrains.",

keywords = "Excitable media, Solitary impulse, Wavetrain",

author = "Zhou, \{Tian Shou\} and L{\"u}, \{Jin Hu\} and Zhang, \{Suo Chun\}",

year = "2001",

doi = "10.1088/1009-1963/10/12/302",

language = "英语",

volume = "10",

pages = "1096--1102",

journal = "Chinese Physics (Overseas Edition)",

issn = "1009-1963",

publisher = "Chinese Physical Society",

number = "12",

}

TY - JOUR

T1 - Kinetics of the wavetrain in the two-variable Oregonator model

AU - Zhou, Tian Shou

AU - Lü, Jin Hu

AU - Zhang, Suo Chun

PY - 2001

Y1 - 2001

N2 - In this paper we first discuss the asymptotic behaviours of solitary impulses in reaction-diffusion equations of Oregonator under the equal, single and double diffusion conditions, respectively. Then we obtain the asymptotic equations of motion of wavetrains for this model by a superposition of solitary impulses, and finally we analyse the stability of wavetrains.

AB - In this paper we first discuss the asymptotic behaviours of solitary impulses in reaction-diffusion equations of Oregonator under the equal, single and double diffusion conditions, respectively. Then we obtain the asymptotic equations of motion of wavetrains for this model by a superposition of solitary impulses, and finally we analyse the stability of wavetrains.

KW - Excitable media

KW - Solitary impulse

KW - Wavetrain

UR - https://www.scopus.com/pages/publications/0035643993

U2 - 10.1088/1009-1963/10/12/302

DO - 10.1088/1009-1963/10/12/302

M3 - 文章

AN - SCOPUS:0035643993

SN - 1009-1963

VL - 10

SP - 1096

EP - 1102

JO - Chinese Physics (Overseas Edition)

JF - Chinese Physics (Overseas Edition)

IS - 12

ER -

Kinetics of the wavetrain in the two-variable Oregonator model

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this