Phase synchronization and anti-phase synchronization of chaos for degenerate optical parametric oscillator

doi:10.1088/1009-1963/14/8/009

中国物理B ›› 2005, Vol. 14 ›› Issue (8): 1526-1532.doi: 10.1088/1009-1963/14/8/009

Phase synchronization and anti-phase synchronization of chaos for degenerate optical parametric oscillator

冯秀琴, 沈柯

Department of Physics, Changchun University of Science and Technology,Changchun 130022, China

收稿日期:2005-02-02 修回日期:2005-03-25 出版日期:2005-07-13 发布日期:2005-07-13

Phase synchronization and anti-phase synchronization of chaos for degenerate optical parametric oscillator

Feng Xiu-Qin (冯秀琴), Shen Ke (沈柯)

Department of Physics, Changchun University of Science and Technology,Changchun 130022, China

Received:2005-02-02 Revised:2005-03-25 Online:2005-07-13 Published:2005-07-13

摘要/Abstract

摘要： We have investigated chaotic synchronization in the generalized sense for the degenerate optical parametric oscillator (DOPO). The numerical results show that two unidirectional coupling DOPOs in chaos can be completely phase synchronization or anti-phase synchronization with a suitable coupling coefficient under which the maximum condition Lyapunov exponent (MCLE) is negative. Phase synchronization and anti-phase synchronization of chaos can be realized through positive and negative coupling. On the other hand, the different synchronization states depend on the coupling types used in the DOPO systems.

Abstract: We have investigated chaotic synchronization in the generalized sense for the degenerate optical parametric oscillator (DOPO). The numerical results show that two unidirectional coupling DOPOs in chaos can be completely phase synchronization or anti-phase synchronization with a suitable coupling coefficient under which the maximum condition Lyapunov exponent (MCLE) is negative. Phase synchronization and anti-phase synchronization of chaos can be realized through positive and negative coupling. On the other hand, the different synchronization states depend on the coupling types used in the DOPO systems.

Key words: phase synchronization, anti-phase synchronization, chaos, maximum condition Lyapunov exponent

中图分类号: (Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics)

42.65.Sf

42.65.Yj (Optical parametric oscillators and amplifiers)

冯秀琴, 沈柯. Phase synchronization and anti-phase synchronization of chaos for degenerate optical parametric oscillator[J]. 中国物理B, 2005, 14(8): 1526-1532.

Feng Xiu-Qin (冯秀琴), Shen Ke (沈柯). Phase synchronization and anti-phase synchronization of chaos for degenerate optical parametric oscillator[J]. Chinese Physics, 2005, 14(8): 1526-1532.

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Phase synchronization and anti-phase synchronization of chaos for degenerate optical parametric oscillator

Phase synchronization and anti-phase synchronization of chaos for degenerate optical parametric oscillator

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