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A relation on round-off error, attractor size and its dynamics in driven or coupled logistic map system
Shi, Pengliang; Shi, PL , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China
2008
发表期刊CHAOS
ISSN1054-1500
卷号18期号:1页码:-
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
部门归属Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
关键词Strange Nonchaotic Attractors Unstable Dimension Variability Chaotic Systems Trajectories Torus Point
学科领域Physics
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收录类别SCI
WOS记录号WOS:000254536700022
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被引频次:6[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/311006/5576
专题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
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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):-.
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