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Critical slowing down in one-dimensional maps and beyond
Hao, BL; Hao, BL , Fudan Univ, T Life Res Ctr, Shanghai 200433, Peoples R China.
2005
发表期刊JOURNAL OF STATISTICAL PHYSICS
ISSN0022-4715
卷号121期号:41035页码:749-757
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.
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
关键词Non-linear Transformations Fractal Dimensions Strange Attractors Bifurcation Points Universality Transitions Chaos
学科领域Physics
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收录类别SCI
WOS记录号WOS:000233867300005
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被引频次:1[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/13710
专题理论物理所1978-2010年知识产出
通讯作者Hao, BL , Fudan Univ, T Life Res Ctr, Shanghai 200433, Peoples R China.
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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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