中国物理B ›› 2008, Vol. 17 ›› Issue (5): 1925-1934.doi: 10.1088/1674-1056/17/5/063

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Elimination of spiral waves and spatiotemporal chaos by the pulse with a specific spatiotemporal configuration

袁国勇1, 杨世平1, 王光瑞2, 陈式刚2   

  1. (1)Department of Physics, Hebei Normal University, Shijiazhuang 050016, China; (2)Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
  • 收稿日期:2007-08-21 修回日期:2007-10-16 出版日期:2008-05-20 发布日期:2008-05-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10647127), the National Natural Science Foundation for Major Projects, China (Grant No 10335010), and the Hebei Nature Science Foundation Project, China (Grant No A2006000128)

Elimination of spiral waves and spatiotemporal chaos by the pulse with a specific spatiotemporal configuration

Yuan Guo-Yong(袁国勇)a)†, Yang Shi-Ping(杨世平)a), Wang Guang-Rui(王光瑞)b), and Chen Shi-Gang(陈式刚)b)   

  1. a Department of Physics, Hebei Normal University, Shijiazhuang 050016, China; b Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
  • Received:2007-08-21 Revised:2007-10-16 Online:2008-05-20 Published:2008-05-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10647127), the National Natural Science Foundation for Major Projects, China (Grant No 10335010), and the Hebei Nature Science Foundation Project, China (Grant No A2006000128)

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摘要： Spiral waves and spatiotemporal chaos are sometimes harmful and should be controlled. In this paper spiral waves and spatiotemporal chaos are successfully eliminated by the pulse with a very specific spatiotemporal configuration. The excited position D of spiral waves or spatiotemporal chaos is first recorded at an arbitrary time (t0). When the system at the domain D enters a recovering state, the external pulse is injected into the domain. If the intensity and the working time of the pulse are appropriate, spiral waves and spatiotemporal chaos can finally be eliminated because counter-directional waves can be generated by the pulse. There are two advantages in the method. One is that the tip can be quickly eliminated together with the body of spiral wave, and the other is that the injected pulse may be weak and the duration can be very short so that the original system is nearly not affected, which is important for practical applications.

关键词: spiral wave, spatiotemporal chaos, elimination

Abstract: Spiral waves and spatiotemporal chaos are sometimes harmful and should be controlled. In this paper spiral waves and spatiotemporal chaos are successfully eliminated by the pulse with a very specific spatiotemporal configuration. The excited position D of spiral waves or spatiotemporal chaos is first recorded at an arbitrary time (t0). When the system at the domain D enters a recovering state, the external pulse is injected into the domain. If the intensity and the working time of the pulse are appropriate, spiral waves and spatiotemporal chaos can finally be eliminated because counter-directional waves can be generated by the pulse. There are two advantages in the method. One is that the tip can be quickly eliminated together with the body of spiral wave, and the other is that the injected pulse may be weak and the duration can be very short so that the original system is nearly not affected, which is important for practical applications.

Key words: spiral wave, spatiotemporal chaos, elimination

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
82.40.Np (Temporal and spatial patterns in surface reactions) 87.19.Hh (Cardiac dynamics)