Generalized synchronization of chaos in erbium-doped dual-ring lasers

doi:10.1088/1009-1963/11/9/308

中国物理B ›› 2002, Vol. 11 ›› Issue (9): 894-899.doi: 10.1088/1009-1963/11/9/308

Generalized synchronization of chaos in erbium-doped dual-ring lasers

张胜海, 沈柯

Department of Physics, Changchun Institute of Optics and Fine Mechanics, Changchun 130022, China

收稿日期:2001-12-29 修回日期:2002-03-22 出版日期:2005-06-12 发布日期:2005-06-12

Generalized synchronization of chaos in erbium-doped dual-ring lasers

Zhang Sheng-Hai (张胜海), Shen Ke (沈柯)

Department of Physics, Changchun Institute of Optics and Fine Mechanics, Changchun 130022, China

Received:2001-12-29 Revised:2002-03-22 Online:2005-06-12 Published:2005-06-12

摘要/Abstract

摘要： We investigate chaotic synchronization in the generalized sense in unidirectionally coupled erbium-doped fibre dual-ring lasers. Numerical simulation shows that no matter whether the two different erbium-doped fibre dual-ring lasers are chaotic or not before coupling, they show generalized synchronization with a suitable unidirectional coupling coefficient under which the maximum condition Lyapunov exponent is negative. We also use the auxiliary system approach to detect the generalized synchronization.

Abstract: We investigate chaotic synchronization in the generalized sense in unidirectionally coupled erbium-doped fibre dual-ring lasers. Numerical simulation shows that no matter whether the two different erbium-doped fibre dual-ring lasers are chaotic or not before coupling, they show generalized synchronization with a suitable unidirectional coupling coefficient under which the maximum condition Lyapunov exponent is negative. We also use the auxiliary system approach to detect the generalized synchronization.

Key words: generalized synchronization, chaos, erbium-doped fibre dual-ring laser, maximum condition Lyapunov exponent

中图分类号: (Fiber lasers)

42.55.Wd

42.60.Da (Resonators, cavities, amplifiers, arrays, and rings) 42.79.Sz (Optical communication systems, multiplexers, and demultiplexers?) 42.81.Qb (Fiber waveguides, couplers, and arrays) 05.45.Vx (Communication using chaos)

张胜海, 沈柯. Generalized synchronization of chaos in erbium-doped dual-ring lasers[J]. 中国物理B, 2002, 11(9): 894-899.

Zhang Sheng-Hai (张胜海), Shen Ke (沈柯). Generalized synchronization of chaos in erbium-doped dual-ring lasers[J]. Chinese Physics, 2002, 11(9): 894-899.

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Generalized synchronization of chaos in erbium-doped dual-ring lasers

Generalized synchronization of chaos in erbium-doped dual-ring lasers

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