Doppler instability of antispiral waves in discrete oscillatory reaction－diffusion media

doi:10.1088/1674-1056/19/5/050513

Abstract This paper investigates antispiral wave breakup phenomena in coupled two-dimensional FitzHugh--Nagumo cells with self-sustained oscillation via Hopf bifurcation. When the coupling strength of the active variable decreases to a critical value, wave breakup phenomenon first occurs in the antispiral core region where waves collide with each other and spontaneously break into spatiotemporal turbulence. Measurements reveal for the first time that this breakup phenomenon is due to the mechanism of antispiral Doppler instability.

Keywords: antispiral waves break up Doppler instability

Received: 22 September 2009
Revised: 20 October 2009
Accepted manuscript online:

PACS:	87.17.Jj	(Cell locomotion, chemotaxis)
	87.15.R-	(Reactions and kinetics)
	87.18.Hf	(Spatiotemporal pattern formation in cellular populations)

Fund: Project supported by the National Natural Science Foundation of China (Grant No.~10675020) and by the National Basic Research Program of China (973 Program) (Grant No.~2007CB814800).

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Qian Yu(钱郁), Huang Xiao-Dong(黄晓东), Liao Xu-Hong(廖旭红), and Hu Gang(胡岗) Doppler instability of antispiral waves in discrete oscillatory reaction－diffusion media 2010 Chin. Phys. B 19 050513

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Doppler instability of antispiral waves in discrete oscillatory reaction－diffusion media

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