Synchronizing spiral waves in a coupled Rössler system

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

中国物理B ›› 2011, Vol. 20 ›› Issue (3): 30505-030505.doi: 10.1088/1674-1056/20/3/030505

Synchronizing spiral waves in a coupled Rössler system

高加振, 杨舒心, 谢玲玲, 高继华

Shenzhen Key Laboratory of Special Functional Materials, College of Materials, Shenzhen University, Shenzhen 518060, China

收稿日期:2010-10-13 修回日期:2010-11-10 出版日期:2011-03-15 发布日期:2011-03-15

Synchronizing spiral waves in a coupled Rössler system

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)^†

Shenzhen Key Laboratory of Special Functional Materials, College of Materials, Shenzhen University, Shenzhen 518060, China

Received:2010-10-13 Revised:2010-11-10 Online:2011-03-15 Published:2011-03-15

摘要/Abstract

摘要： 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.

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.

Key words: synchronisation, spiral wave, coupled Rössler system

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

82.40.Ck (Pattern formation in reactions with diffusion, flow and heat transfer) 47.54.-r (Pattern selection; pattern formation)

高加振, 杨舒心, 谢玲玲, 高继华. Synchronizing spiral waves in a coupled Rössler system[J]. 中国物理B, 2011, 20(3): 30505-030505.

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[J]. Chin. Phys. B, 2011, 20(3): 30505-030505.

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Synchronizing spiral waves in a coupled Rössler system

Synchronizing spiral waves in a coupled Rössler system

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