On the Network Analysis of the State Space of Discrete Dynamical Systems

Cheng Xu; Chengqing Li; Jinhu Lü; Shi Shu

doi:10.1142/S0218127417500626

On the Network Analysis of the State Space of Discrete Dynamical Systems

Cheng Xu
, Chengqing Li
, Jinhu Lü
, Shi Shu

School of Mathematics and Computational Science
XiangTan University
College of Information Engineering
Chinese Academy of Sciences

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

摘要

This paper discusses the letter entitled "Network analysis of the state space of discrete dynamical systems" by A. Shreim et al. [Phys. Rev. Lett. 98, 198701 (2007)]. We found that some theoretical analyses are wrong and the proposed indicators based on two parameters of the state-mapping network cannot discriminate the dynamical complexity of the discrete dynamical systems composed of a 1D cellular automata.

源语言	英语
期刊论文编号	1750062
期刊	International Journal of Bifurcation and Chaos
卷	27
期	4
DOI	https://doi.org/10.1142/S0218127417500626
出版状态	已出版 - 1 4月 2017
已对外发布	是

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abstract = "This paper discusses the letter entitled {"}Network analysis of the state space of discrete dynamical systems{"} by A. Shreim et al. [Phys. Rev. Lett. 98, 198701 (2007)]. We found that some theoretical analyses are wrong and the proposed indicators based on two parameters of the state-mapping network cannot discriminate the dynamical complexity of the discrete dynamical systems composed of a 1D cellular automata.",

keywords = "Chaotic dynamics, cellular automata, complex network, state-mapping network",

author = "Cheng Xu and Chengqing Li and Jinhu L{\"u} and Shi Shu",

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AU - Lü, Jinhu

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N2 - This paper discusses the letter entitled "Network analysis of the state space of discrete dynamical systems" by A. Shreim et al. [Phys. Rev. Lett. 98, 198701 (2007)]. We found that some theoretical analyses are wrong and the proposed indicators based on two parameters of the state-mapping network cannot discriminate the dynamical complexity of the discrete dynamical systems composed of a 1D cellular automata.

AB - This paper discusses the letter entitled "Network analysis of the state space of discrete dynamical systems" by A. Shreim et al. [Phys. Rev. Lett. 98, 198701 (2007)]. We found that some theoretical analyses are wrong and the proposed indicators based on two parameters of the state-mapping network cannot discriminate the dynamical complexity of the discrete dynamical systems composed of a 1D cellular automata.

KW - Chaotic dynamics

KW - cellular automata

KW - complex network

KW - state-mapping network

UR - https://www.scopus.com/pages/publications/85019054275

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DO - 10.1142/S0218127417500626

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On the Network Analysis of the State Space of Discrete Dynamical Systems

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