Hierarchical structure description of spatiotemporal chaos

doi:10.1103/PhysRevE.70.036215

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	Hierarchical structure description of spatiotemporal chaos
	Liu Jian ; She Zhen-Su ; Guo Hongyu ; Li Liang ; Ouyang Qi
刊名	physical review e statistical nonlinear and soft matter physics
	2004
DOI	10.1103/PhysRevE.70.036215
英文摘要	We develop a hierarchical structure (HS) analysis for quantitative description of statistical states of spatially extended systems. Examples discussed here include an experimental reaction-diffusion system with Belousov-Zhabotinsky kinetics, the two-dimensional complex Ginzburg-Landau equation, and the modified FitzHugh-Nagumon equation, which all show complex dynamics of spirals and defects. We demonstrate that the spatial-temporal fluctuation fields in the above-mentioned systems all display the HS similarity property originally proposed for the study of fully developed turbulence [Phys. Rev. Lett. 72, 336 (1994)]]. The derived values of a HS parameter beta from experimental and numerical data in various physical regimes exhibit consistent trends and characterize the degree of turbulence in the systems near the transition, and the degree of heterogeneity of multiple disorders far from the transition. It is suggested that the HS analysis offers a useful quantitative description for the complex dynamics of two-dimensional spatiotemporal patterns.; SCI(E); EI; PubMed; 0; 3 Pt 2; 036215; 70
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/346510]
专题	工学院
推荐引用方式 GB/T 7714	Liu Jian,She Zhen-Su,Guo Hongyu,et al. Hierarchical structure description of spatiotemporal chaos[J]. physical review e statistical nonlinear and soft matter physics,2004.
APA	Liu Jian,She Zhen-Su,Guo Hongyu,Li Liang,&Ouyang Qi.(2004).Hierarchical structure description of spatiotemporal chaos.physical review e statistical nonlinear and soft matter physics.
MLA	Liu Jian,et al."Hierarchical structure description of spatiotemporal chaos".physical review e statistical nonlinear and soft matter physics (2004).