Intermittencies in complex Ginzburg－Landau equation by varying system size

doi:10.1088/1674-1056/19/5/050516

中国物理B ›› 2010, Vol. 19 ›› Issue (5): 50516-050516.doi: 10.1088/1674-1056/19/5/050516

Intermittencies in complex Ginzburg－Landau equation by varying system size

胡斑比¹, 胡岗², 李海红³, 肖井华⁴

(1)Centre of Nonlinear Studies and Department of Physics, Hong Kong Baptist University, Hong Kong, China;Department of Physics, Beijing Normal University, Beijing 100875, China; (2)Centre of Nonlinear Studies and Department of Physics, Hong Kong Baptist University, Hong Kong, China;Department of Physics, University of Houston, Houston, TX 77204, USA; (3)School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China; (4)School of Science, Beijing University of Posts

收稿日期:2009-07-06 修回日期:2009-10-26 出版日期:2010-05-15 发布日期:2010-05-15
基金资助:
Project supported by grants from the Hong Kong Research Grants Council (RGC) and Hong Kong Baptist University Faculty Research Grants (FRG), and partially supported by the National Natural Science Foundation of China (Grant No.~10575016) and Nonlinear Science Project of China.

Intermittencies in complex Ginzburg－Landau equation by varying system size

Li Hai-Hong(李海红)^a)^†, Xiao Jing-Hua(肖井华)^a)b), Hu Gang(胡岗)^b)c), and Hu Bambi(胡斑比)^b)d)

^a School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China; ^b Centre of Nonlinear Studies and Department of Physics, Hong Kong Baptist University, Hong Kong, China; ^c Department of Physics, University of Houston, Houston, TX 77204, USA; ^d Department of Physics, Beijing Normal University, Beijing 100875, China

Received:2009-07-06 Revised:2009-10-26 Online:2010-05-15 Published:2010-05-15
Supported by:
Project supported by grants from the Hong Kong Research Grants Council (RGC) and Hong Kong Baptist University Faculty Research Grants (FRG), and partially supported by the National Natural Science Foundation of China (Grant No.~10575016) and Nonlinear Science Project of China.

摘要/Abstract

摘要： Dynamical behaviour of the one-dimensional complex Ginzburg--Landau equation (CGLE) with finite system size $L$ is investigated, based on numerical simulations. By varying the system size and keeping other system parameters in the defect turbulence region (defect turbulence in large $L$ limit), a number of intermittencies new for the CGLE system are observed in the processes of pattern formations and transitions while the system dynamics varies from a homogeneous periodic oscillation to strong defect turbulence.

Abstract: Dynamical behaviour of the one-dimensional complex Ginzburg--Landau equation (CGLE) with finite system size $L$ is investigated, based on numerical simulations. By varying the system size and keeping other system parameters in the defect turbulence region (defect turbulence in large $L$ limit), a number of intermittencies new for the CGLE system are observed in the processes of pattern formations and transitions while the system dynamics varies from a homogeneous periodic oscillation to strong defect turbulence.

Key words: Ginzburg--Landau equation, chaos, turbulence

中图分类号: (High-dimensional chaos)

05.45.Jn

02.60.Cb (Numerical simulation; solution of equations)

李海红, 肖井华, 胡岗, 胡斑比. Intermittencies in complex Ginzburg－Landau equation by varying system size[J]. 中国物理B, 2010, 19(5): 50516-050516.

Li Hai-Hong(李海红), Xiao Jing-Hua(肖井华), Hu Gang(胡岗), and Hu Bambi(胡斑比). Intermittencies in complex Ginzburg－Landau equation by varying system size[J]. Chin. Phys. B, 2010, 19(5): 50516-050516.

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Intermittencies in complex Ginzburg－Landau equation by varying system size

Intermittencies in complex Ginzburg－Landau equation by varying system size

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