Journal
PHYSICA D-NONLINEAR PHENOMENA
Volume 237, Issue 23, Pages 3165-3171Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physd.2008.06.001
Keywords
Kinematic model; Pattern formation; External forcing; Feedback stabilization; Spiral waves
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Funding
- Ministry of Education, Science and Culture of Japan [18684022, 19740093, 20540122]
- Sumitomo Foundation
- Grants-in-Aid for Scientific Research [18684022, 19740093, 20540122] Funding Source: KAKEN
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Using a kinematic approach, we propose a model of arc-like wave segments in which the free ends are stabilized by using a feedback algorithm. The model can demonstrate the experimental results and numerical Computations of a reaction-diffusion system. This model also reveals some aspects of spiral wave dynamics with the free ends including not only the stabilization of wave segments using feedback, but also a critical behavior with respect to the initial wave size in media with fixed excitability. (C) 2008 Elsevier B.V. All rights reserved.
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