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Dynamics of Vortex-Wave under a Travelling-Wave Modulation |
| WU Ning-Jie1, MA Jun2, CUI Jing-An1, YING He-Ping3 |
| 1School of Mathematics and Computer Science, Nanjing Normal University, Nanjing 2100972School of Science, Lanzhou University of Technology, Lanzhou 7300503Zhejiang Institute of Modern Physics and Department of Physics, Zhejiang University, Hangzhou 310027 |
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| Cite this article: |
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WU Ning-Jie, MA Jun, CUI Jing-An et al 2008 Chin. Phys. Lett. 25 4207-4210 |
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Abstract The mechanism of destabilization is studied for the rotating vortices (scroll waves and spiral waves) in excitable media induced by a parameter modulation in the form of a travelling-wave. It is found that a rigid rotating spiral in the two-dimensional (2D) system undergoes a synchronized drift along a straight line, and a 3D scroll ring with its filament closed into a circle can be reoriented only if the direction of wave number of a travelling-wave perturbation is parallel to the ring plane. Then, in order to describe the behaviour of the synchronized drift of spiral wave and the reorientation of scroll ring, the approximate formulas are given to exhibit qualitative agreements with the observed results.
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| Keywords:
05.45.-a
82.40.Ck
05.45.Xt
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Received: 12 August 2008
Published: 27 November 2008
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| PACS: |
05.45.-a
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(Nonlinear dynamics and chaos)
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82.40.Ck
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(Pattern formation in reactions with diffusion, flow and heat transfer)
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05.45.Xt
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(Synchronization; coupled oscillators)
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