中国物理B ›› 2010, Vol. 19 ›› Issue (6): 60516-060516.doi: 10.1088/1674-1056/19/6/060516

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Size transition of spiral waves using the pulse array method

谢玲玲, 高继华   

  1. Shenzhen Key Laboratory of Special Functional Materials, College of Materials, Shenzhen University, Shenzhen 518060, China
  • 收稿日期:2009-11-19 出版日期:2010-06-15 发布日期:2010-06-15

Size transition of spiral waves using the pulse array method

Xie Ling-Ling(谢玲玲) and Gao Ji-Hua(高继华)   

  1. Shenzhen Key Laboratory of Special Functional Materials, College of Materials, Shenzhen University, Shenzhen 518060, China
  • Received:2009-11-19 Online:2010-06-15 Published:2010-06-15

摘要: The domain size of spiral waves is an important issue in studies of two-dimensional (2D) spatiotemporal patterns. In this work, we use the 2D complex Ginzburg--Landau equation (CGLE) as our model and find that an initially big spiral can successfully transfer to several small spirals by applying a pulse array method. The impacts of several important factors, such as array density, controlling intensity and pulsing time, are investigated. This control approach may be useful for the control of 2D spatiotemporal patterns and has potential applications in the control of some realistic systems, such as meteorological and cardiac systems.

Abstract: The domain size of spiral waves is an important issue in studies of two-dimensional (2D) spatiotemporal patterns. In this work, we use the 2D complex Ginzburg--Landau equation (CGLE) as our model and find that an initially big spiral can successfully transfer to several small spirals by applying a pulse array method. The impacts of several important factors, such as array density, controlling intensity and pulsing time, are investigated. This control approach may be useful for the control of 2D spatiotemporal patterns and has potential applications in the control of some realistic systems, such as meteorological and cardiac systems.

Key words: spiral wave, size transition, pulse array method

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
02.30.Jr (Partial differential equations) 87.19.Hh (Cardiac dynamics)