中国物理B ›› 2008, Vol. 17 ›› Issue (11): 4107-4113.doi: 10.1088/1674-1056/17/11/025

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Synchronization of spiral waves in a two-layer coupled inhomogeneous excitable system

马 军1, 俞连春2, 张国勇3, 陈 勇4   

  1. (1)Department of Physics, Lanzhou University of Technology, Lanzhou 730050, China; (2)Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China; (3)Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China;Department of Computer Science, Hubei Normal University, Huangshi 435002, China; (4)Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China;Key Laboratory for Magnetism and Magnetic Materials of the Ministry of Education, Lanzhou Universi
  • 收稿日期:2008-03-19 修回日期:2008-04-08 出版日期:2008-11-20 发布日期:2008-11-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10305005) and the Fundamental Research Fund for Physics and Mathematics of Lanzhou University, China.

Synchronization of spiral waves in a two-layer coupled inhomogeneous excitable system

Zhang Guo-Yong (张国勇)ab, Ma Jun (马 军)c, Yu Lian-Chun (俞连春)a, Chen Yong (陈 勇)ad   

  1. a Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China; b Department of Computer Science, Hubei Normal University, Huangshi 435002, China; c Department of Physics, Lanzhou University of Technology, Lanzhou 730050, China; d Key Laboratory for Magnetism and Magnetic Materials of the Ministry of Education, Lanzhou University, Lanzhou 730000, China
  • Received:2008-03-19 Revised:2008-04-08 Online:2008-11-20 Published:2008-11-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10305005) and the Fundamental Research Fund for Physics and Mathematics of Lanzhou University, China.

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摘要： We studied synchronization behaviours of spiral waves in a two-layer coupled inhomogeneous excitable system. It was found that phase synchronization can be observed under weak coupling strength. By increasing the coupling strength, the synchronization is broken down. With the further increase of the coupling strength, complete synchronization and phase synchronization occur again. We also found that the inhomogeneity in excitable systems is helpful to the synchronization.

关键词: spiral waves, synchronization, inhomogeneous excitable media

Abstract: We studied synchronization behaviours of spiral waves in a two-layer coupled inhomogeneous excitable system. It was found that phase synchronization can be observed under weak coupling strength. By increasing the coupling strength, the synchronization is broken down. With the further increase of the coupling strength, complete synchronization and phase synchronization occur again. We also found that the inhomogeneity in excitable systems is helpful to the synchronization.

Key words: spiral waves, synchronization, inhomogeneous excitable media

中图分类号:  (Membranes, bilayers, and vesicles)

  • 87.16.D-
87.15.H- (Dynamics of biomolecules) 87.16.A- (Theory, modeling, and simulations) 87.18.Hf (Spatiotemporal pattern formation in cellular populations)