Drift of rigidly rotating spirals under periodic and noisy illuminations

Hong Zhang; Ning Jie Wu; He Ping Ying; Gang Hu; Bambi Hu

doi:10.1063/1.1795711

Drift of rigidly rotating spirals under periodic and noisy illuminations

Hong Zhang^*, Ning Jie Wu, He Ping Ying, Gang Hu, Bambi Hu

^*Corresponding author for this work

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

31 Citations (Scopus)

Abstract

Under the weak deformation approximation, the motion of rigidly rotating spirals induced by periodic and noisy illuminations are investigated analytically. We derive an approximate but explicit formula of the spiral drift velocity directly from the original reaction-diffusion equation. With this formula we are able to explain the main features in the periodic and noisy illuminations induced spiral drift problems. Numerical computations of the Oregonator model are carried out as well, and they agree with the main qualitative conclusions of our analytical results.

Original language	English
Pages (from-to)	7276-7280
Number of pages	5
Journal	Journal of Chemical Physics
Volume	121
Issue number	15
DOIs	https://doi.org/10.1063/1.1795711
Publication status	Published - 15 Oct 2004

Scopus Subject Areas

Physics and Astronomy(all)
Physical and Theoretical Chemistry

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title = "Drift of rigidly rotating spirals under periodic and noisy illuminations",

abstract = "Under the weak deformation approximation, the motion of rigidly rotating spirals induced by periodic and noisy illuminations are investigated analytically. We derive an approximate but explicit formula of the spiral drift velocity directly from the original reaction-diffusion equation. With this formula we are able to explain the main features in the periodic and noisy illuminations induced spiral drift problems. Numerical computations of the Oregonator model are carried out as well, and they agree with the main qualitative conclusions of our analytical results.",

author = "Hong Zhang and Wu, {Ning Jie} and Ying, {He Ping} and Gang Hu and Bambi Hu",

note = "Funding information: This work was supported in part by grants from the National High Technology Research and Development Program of China, the National Nature Science Foundation of China, the Hong Kong Research Grants Council (RGC), the Hong Kong Baptist University Faculty Research Grant (FRG). The authors acknowledge the support of Hong Kong Baptist University's High Performance Cluster Computing Center Supported by Dell and Intel. Publisher copyright: {\textcopyright} 2004 American Institute of Physics",

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AU - Zhang, Hong

AU - Wu, Ning Jie

AU - Ying, He Ping

AU - Hu, Gang

AU - Hu, Bambi

N1 - Funding information: This work was supported in part by grants from the National High Technology Research and Development Program of China, the National Nature Science Foundation of China, the Hong Kong Research Grants Council (RGC), the Hong Kong Baptist University Faculty Research Grant (FRG). The authors acknowledge the support of Hong Kong Baptist University's High Performance Cluster Computing Center Supported by Dell and Intel. Publisher copyright: © 2004 American Institute of Physics

PY - 2004/10/15

Y1 - 2004/10/15

N2 - Under the weak deformation approximation, the motion of rigidly rotating spirals induced by periodic and noisy illuminations are investigated analytically. We derive an approximate but explicit formula of the spiral drift velocity directly from the original reaction-diffusion equation. With this formula we are able to explain the main features in the periodic and noisy illuminations induced spiral drift problems. Numerical computations of the Oregonator model are carried out as well, and they agree with the main qualitative conclusions of our analytical results.

AB - Under the weak deformation approximation, the motion of rigidly rotating spirals induced by periodic and noisy illuminations are investigated analytically. We derive an approximate but explicit formula of the spiral drift velocity directly from the original reaction-diffusion equation. With this formula we are able to explain the main features in the periodic and noisy illuminations induced spiral drift problems. Numerical computations of the Oregonator model are carried out as well, and they agree with the main qualitative conclusions of our analytical results.

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Drift of rigidly rotating spirals under periodic and noisy illuminations

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