Critical slowing down in one-dimensional maps and beyond | |
Hao, BL; Hao, BL , Fudan Univ, T Life Res Ctr, Shanghai 200433, Peoples R China. | |
刊名 | JOURNAL OF STATISTICAL PHYSICS |
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 |
ISSN号 | 0022-4715 |
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. |
学科主题 | Physics |
URL标识 | 查看原文 |
WOS记录号 | WOS:000233867300005 |
公开日期 | 2012-08-29 |
内容类型 | 期刊论文 |
源URL | [http://ir.itp.ac.cn/handle/311006/13710] |
专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
通讯作者 | Hao, BL , Fudan Univ, T Life Res Ctr, Shanghai 200433, Peoples R China. |
推荐引用方式 GB/T 7714 | Hao, BL,Hao, BL , Fudan Univ, T Life Res Ctr, Shanghai 200433, Peoples R China.. Critical slowing down in one-dimensional maps and beyond[J]. JOURNAL OF STATISTICAL PHYSICS,2005,121(41035):749-757. |
APA | Hao, BL,&Hao, BL , Fudan Univ, T Life Res Ctr, Shanghai 200433, Peoples R China..(2005).Critical slowing down in one-dimensional maps and beyond.JOURNAL OF STATISTICAL PHYSICS,121(41035),749-757. |
MLA | Hao, BL,et al."Critical slowing down in one-dimensional maps and beyond".JOURNAL OF STATISTICAL PHYSICS 121.41035(2005):749-757. |
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