A relation on round-off error, attractor size and its dynamics in driven or coupled logistic map system
文献类型:期刊论文
作者 | Shi, Pengliang; Shi, PL , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China |
刊名 | CHAOS
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出版日期 | 2008 |
卷号 | 18期号:1页码:- |
关键词 | Strange Nonchaotic Attractors Unstable Dimension Variability Chaotic Systems Trajectories Torus Point |
ISSN号 | 1054-1500 |
英文摘要 | In this paper, we investigate three kinds of numerical artifacts: period-like, strange-nonchaotic-attractor-like, and chaos-like behaviors in an extended logistic map system. These artificial behaviors appear in double precision and change into other real attractors in high-precision simulations. All of them are generated by a complicated dynamical process of the system and round-off truncation errors in numerical computations. A quantity beta, which is closely related to the local Lyapunov exponent, is proposed to measure the extremum of large expansion or contraction dynamical capability. Eventually, we find the artifacts will emerge if the relation is not kept: alpha beta |
学科主题 | Physics |
URL标识 | 查看原文 |
WOS记录号 | WOS:000254536700022 |
公开日期 | 2012-08-02 |
源URL | [http://ir.itp.ac.cn/handle/311006/5576] ![]() |
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 | Shi, PL , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Shi, Pengliang,Shi, PL , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China. A relation on round-off error, attractor size and its dynamics in driven or coupled logistic map system[J]. CHAOS,2008,18(1):-. |
APA | Shi, Pengliang,&Shi, PL , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.(2008).A relation on round-off error, attractor size and its dynamics in driven or coupled logistic map system.CHAOS,18(1),-. |
MLA | Shi, Pengliang,et al."A relation on round-off error, attractor size and its dynamics in driven or coupled logistic map system".CHAOS 18.1(2008):-. |
入库方式: OAI收割
来源:理论物理研究所
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