中国物理B ›› 2012, Vol. 21 ›› Issue (8): 88201-088201.doi: 10.1088/1674-1056/21/8/088201

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇    下一篇

The influence of long-range links on spiral waves and its application for control

钱郁   

  1. Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji 721007, China
  • 收稿日期:2012-02-02 修回日期:2012-02-29 出版日期:2012-07-01 发布日期:2012-07-01
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 11105003) and the Science Foundation of the Education Bureau of Shaanxi Province of China (Grant No. 11JK0544).

The influence of long-range links on spiral waves and its application for control

Qian Yu (钱郁)   

  1. Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji 721007, China
  • Received:2012-02-02 Revised:2012-02-29 Online:2012-07-01 Published:2012-07-01
  • Contact: Qian Yu E-mail:qianyu0272@163.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 11105003) and the Science Foundation of the Education Bureau of Shaanxi Province of China (Grant No. 11JK0544).

摘要: The influence of long-range links on spiral waves in excitable medium has been investigated. Spatiotemporal dynamics in excitable small-world network transforms remarkably when we increase the long-range connection probability P. Spiral waves with few perturbations, broken spiral waves, pseudo spiral turbulence, synchronous oscillations, and homogeneous rest state are discovered under different network structures. Tip number is selected to detect non-equilibrium phase transition between different spatiotemporal patterns. The Kuramoto order parameter is used to identify these patterns and explain the emergence of the rest state. Finally, we use long-range links to control spiral wave and spiral turbulence successfully.

关键词: spiral waves, long-range link, spiral and turbulence control

Abstract: The influence of long-range links on spiral waves in excitable medium has been investigated. Spatiotemporal dynamics in excitable small-world network transforms remarkably when we increase the long-range connection probability P. Spiral waves with few perturbations, broken spiral waves, pseudo spiral turbulence, synchronous oscillations, and homogeneous rest state are discovered under different network structures. Tip number is selected to detect non-equilibrium phase transition between different spatiotemporal patterns. The Kuramoto order parameter is used to identify these patterns and explain the emergence of the rest state. Finally, we use long-range links to control spiral wave and spiral turbulence successfully.

Key words: spiral waves, long-range link, spiral and turbulence control

中图分类号:  (Pattern formation in reactions with diffusion, flow and heat transfer)

  • 82.40.Ck
05.65.+b (Self-organized systems) 89.75.Hc (Networks and genealogical trees)