Drift velocity of rotating spiral waves in the weak deformation approximation

Hong Zhang; Bambi Hu; Gang Hu; Jinghua Xiao

doi:10.1063/1.1592791

Drift velocity of rotating spiral waves in the weak deformation approximation

Hong Zhang^*
, Bambi Hu
, Gang Hu^*
, Jinghua Xiao

^*Corresponding author for this work

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

36 Citations (Scopus)

Abstract

The drift velocities of spiral waves driven by a periodic mechanic deformation or a constant or periodic electric field are obtained under the weak deformation approximation around the spiral wave tip. An approximate formula is derived for these drift velocities and some significant results, such as the drift of spiral waves induced by a mechanical deformation with ω=3ω0 are predicted. Numerical simulations are performed demonstrating qualitative agreement with the analytical results.

Original language	English
Pages (from-to)	4468-4472
Number of pages	5
Journal	Journal of Chemical Physics
Volume	119
Issue number	8
DOIs	https://doi.org/10.1063/1.1592791
Publication status	Published - 22 Aug 2003

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 9 Industry, Innovation, and Infrastructure

Access to Document

10.1063/1.1592791

Cite this

@article{0c89a92b6e254697b04a28131bd9a52d,

title = "Drift velocity of rotating spiral waves in the weak deformation approximation",

abstract = "The drift velocities of spiral waves driven by a periodic mechanic deformation or a constant or periodic electric field are obtained under the weak deformation approximation around the spiral wave tip. An approximate formula is derived for these drift velocities and some significant results, such as the drift of spiral waves induced by a mechanical deformation with ω=3ω0 are predicted. Numerical simulations are performed demonstrating qualitative agreement with the analytical results.",

author = "Hong Zhang and Bambi Hu and Gang Hu and Jinghua Xiao",

note = "This work was supported in part by grants from the Hong Kong Research Grants Council (RGC), the Hong Kong Baptist University Faculty Research Grant (FRG), the National Nature Science Foundation of China, and the Nonlinear Science Project of China. We would like to thank Q. Ouyang, Z. L. Qu, F. G. Xie, and S. L. Zhang for useful discussions. Publisher copyright: {\textcopyright} 2003 American Institute of Physics",

year = "2003",

month = aug,

day = "22",

doi = "10.1063/1.1592791",

language = "English",

volume = "119",

pages = "4468--4472",

journal = "Journal of Chemical Physics",

issn = "0021-9606",

publisher = "American Institute of Physics",

number = "8",

}

TY - JOUR

T1 - Drift velocity of rotating spiral waves in the weak deformation approximation

AU - Zhang, Hong

AU - Hu, Bambi

AU - Hu, Gang

AU - Xiao, Jinghua

N1 - This work was supported in part by grants from the Hong Kong Research Grants Council (RGC), the Hong Kong Baptist University Faculty Research Grant (FRG), the National Nature Science Foundation of China, and the Nonlinear Science Project of China. We would like to thank Q. Ouyang, Z. L. Qu, F. G. Xie, and S. L. Zhang for useful discussions. Publisher copyright: © 2003 American Institute of Physics

PY - 2003/8/22

Y1 - 2003/8/22

N2 - The drift velocities of spiral waves driven by a periodic mechanic deformation or a constant or periodic electric field are obtained under the weak deformation approximation around the spiral wave tip. An approximate formula is derived for these drift velocities and some significant results, such as the drift of spiral waves induced by a mechanical deformation with ω=3ω0 are predicted. Numerical simulations are performed demonstrating qualitative agreement with the analytical results.

AB - The drift velocities of spiral waves driven by a periodic mechanic deformation or a constant or periodic electric field are obtained under the weak deformation approximation around the spiral wave tip. An approximate formula is derived for these drift velocities and some significant results, such as the drift of spiral waves induced by a mechanical deformation with ω=3ω0 are predicted. Numerical simulations are performed demonstrating qualitative agreement with the analytical results.

UR - https://www.scopus.com/pages/publications/0041879950

U2 - 10.1063/1.1592791

DO - 10.1063/1.1592791

M3 - Journal article

AN - SCOPUS:0041879950

SN - 0021-9606

VL - 119

SP - 4468

EP - 4472

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

IS - 8

ER -

Drift velocity of rotating spiral waves in the weak deformation approximation

Abstract

UN SDGs

Access to Document

Other files and links

Fingerprint

Cite this