Synchronizing spiral waves in a coupled Rössler system

doi:10.1088/1674-1056/20/3/030505

Abstract The synchronisation of spiral patterns in a drive-response Rössler system is studied. The existence of three types of synchronisation is revealed by inspecting the coupling parameter space. Two transient stages of phase synchronisation and partial synchronisation are observed in a comparatively weak feedback coupling parameter regime, whilst complete synchronisation of spirals is found with strong negative couplings. Detailed observations of the synchronous process, such as oscillatory frequencies, parameters mismatches and amplitude variations, etc, are investigated via numerical simulations.

Keywords: synchronisation spiral wave coupled Rössler system

Received: 13 October 2010
Revised: 10 November 2010
Accepted manuscript online:

PACS:	05.45.-a	(Nonlinear dynamics and chaos)
	82.40.Ck	(Pattern formation in reactions with diffusion, flow and heat transfer)
	47.54.-r	(Pattern selection; pattern formation)

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Gao Jia-Zhen(高加振), Yang Shu-Xin(杨舒心), Xie Ling-Ling(谢玲玲), and Gao Ji-Hua(高继华) Synchronizing spiral waves in a coupled Rössler system 2011 Chin. Phys. B 20 030505

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