Spontaneously periodic wave generation in coupled excitable media

Lei Zhang; Shengli Zhang; Huimin Tong; Dongsheng Lei; Bambi Hu

doi:10.1103/PhysRevE.79.056213

Spontaneously periodic wave generation in coupled excitable media

Lei Zhang, Shengli Zhang^*, Huimin Tong, Dongsheng Lei, Bambi Hu

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › peer-review

4 Citations (Scopus)

Abstract

We studied a modified reaction-diffusion model theoretically by coupling two ideal excitable media systems. In the simulated homogeneous system, we observed the propagation of reaction-diffusion wave trains that required no external force after the initial stimulation. We investigated the dependence of the system's oscillation patterns on model parameters, and we discussed the influence of the different dynamic constants of the individual coupled systems on the dynamics of the coupled systems. Some complex two-dimensional patterns generated by our model are shown. We also found similar phenomena in the models for catalytic CO oxidation on Pt(110), and for cardiac tissue.

Original language	English
Article number	056213
Number of pages	9
Journal	Physical Review E
Volume	79
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevE.79.056213
Publication status	Published - 13 May 2009

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title = "Spontaneously periodic wave generation in coupled excitable media",

abstract = "We studied a modified reaction-diffusion model theoretically by coupling two ideal excitable media systems. In the simulated homogeneous system, we observed the propagation of reaction-diffusion wave trains that required no external force after the initial stimulation. We investigated the dependence of the system's oscillation patterns on model parameters, and we discussed the influence of the different dynamic constants of the individual coupled systems on the dynamics of the coupled systems. Some complex two-dimensional patterns generated by our model are shown. We also found similar phenomena in the models for catalytic CO oxidation on Pt(110), and for cardiac tissue.",

author = "Lei Zhang and Shengli Zhang and Huimin Tong and Dongsheng Lei and Bambi Hu",

note = "We are grateful to John Eliades and Jianxin Bao for helpful suggestions. We thank Kathy Watts for the help in the English improvement of this paper. We also thank Shumin Zhao, Minggang Xia, and Erhu Zhang for valuable discussions. This work was supported by NSF of China under Grant No. 10374075, and the Keygrant Project of Chinese Ministry of Education under Grant No. 708082. Publisher copyright: {\textcopyright} 2009 American Physical Society",

year = "2009",

month = may,

day = "13",

doi = "10.1103/PhysRevE.79.056213",

language = "English",

volume = "79",

journal = "Physical Review E",

issn = "2470-0045",

publisher = "American Physical Society",

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TY - JOUR

T1 - Spontaneously periodic wave generation in coupled excitable media

AU - Zhang, Lei

AU - Zhang, Shengli

AU - Tong, Huimin

AU - Lei, Dongsheng

AU - Hu, Bambi

N1 - We are grateful to John Eliades and Jianxin Bao for helpful suggestions. We thank Kathy Watts for the help in the English improvement of this paper. We also thank Shumin Zhao, Minggang Xia, and Erhu Zhang for valuable discussions. This work was supported by NSF of China under Grant No. 10374075, and the Keygrant Project of Chinese Ministry of Education under Grant No. 708082. Publisher copyright: © 2009 American Physical Society

PY - 2009/5/13

Y1 - 2009/5/13

N2 - We studied a modified reaction-diffusion model theoretically by coupling two ideal excitable media systems. In the simulated homogeneous system, we observed the propagation of reaction-diffusion wave trains that required no external force after the initial stimulation. We investigated the dependence of the system's oscillation patterns on model parameters, and we discussed the influence of the different dynamic constants of the individual coupled systems on the dynamics of the coupled systems. Some complex two-dimensional patterns generated by our model are shown. We also found similar phenomena in the models for catalytic CO oxidation on Pt(110), and for cardiac tissue.

AB - We studied a modified reaction-diffusion model theoretically by coupling two ideal excitable media systems. In the simulated homogeneous system, we observed the propagation of reaction-diffusion wave trains that required no external force after the initial stimulation. We investigated the dependence of the system's oscillation patterns on model parameters, and we discussed the influence of the different dynamic constants of the individual coupled systems on the dynamics of the coupled systems. Some complex two-dimensional patterns generated by our model are shown. We also found similar phenomena in the models for catalytic CO oxidation on Pt(110), and for cardiac tissue.

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U2 - 10.1103/PhysRevE.79.056213

DO - 10.1103/PhysRevE.79.056213

M3 - Journal article

AN - SCOPUS:67149146583

SN - 2470-0045

VL - 79

JO - Physical Review E

JF - Physical Review E

IS - 5

M1 - 056213

ER -

Spontaneously periodic wave generation in coupled excitable media

Abstract

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