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

doi:10.1088/1674-1056/21/8/088201

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.

Keywords: spiral waves long-range link spiral and turbulence control

Received: 02 February 2012
Revised: 29 February 2012
Accepted manuscript online:

PACS:	82.40.Ck	(Pattern formation in reactions with diffusion, flow and heat transfer)
	05.65.+b	(Self-organized systems)
	87.18.Bb
	89.75.Hc	(Networks and genealogical trees)

Fund: 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).

Corresponding Authors: Qian Yu
E-mail: qianyu0272@163.com

Cite this article:

Qian Yu (钱郁) The influence of long-range links on spiral waves and its application for control 2012 Chin. Phys. B 21 088201

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