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题名: Critical slowing down in one-dimensional maps and beyond
作者: Hao, BL
刊名: JOURNAL OF STATISTICAL PHYSICS
出版日期: 2005
卷号: 121, 期号:41035, 页码:749-757
关键词: NON-LINEAR TRANSFORMATIONS ;  FRACTAL DIMENSIONS ;  STRANGE ATTRACTORS ;  BIFURCATION POINTS ;  UNIVERSALITY ;  TRANSITIONS ;  CHAOS
学科分类: Physics
通讯作者: Hao, BL , Fudan Univ, T Life Res Ctr, Shanghai 200433, Peoples R China.
部门归属: Fudan Univ, T Life Res Ctr, Shanghai 200433, Peoples R China; Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China
英文摘要: This is a brief review on critical slowing down near the Feigenbaum period-doubling bifurcation points and its consequences. The slowing down of numerical convergence leads to an "operational" fractal dimension D=2/3 at a finite order bifurcation point. There is a cross-over to D-0=0.538... when the order goes to infinity, i.e., to the Feigenbaum accumulation point. The problem of whether there exists a "super-scaling" for the dimension spectrum D-q(W) that does not depend on the primitive word W underlying the period-n-tupling sequence seems to remain open.
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000233867300005
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/13710
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Hao, BL. Critical slowing down in one-dimensional maps and beyond[J]. JOURNAL OF STATISTICAL PHYSICS,2005,121(41035):749-757.
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