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

XiangTan University
Chinese Academy of Sciences

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English
Article number	1750062
Journal	International Journal of Bifurcation and Chaos
Volume	27
Issue number	4
DOIs	https://doi.org/10.1142/S0218127417500626
State	Published - 1 Apr 2017
Externally published	Yes

Keywords

Chaotic dynamics
cellular automata
complex network
state-mapping network

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10.1142/S0218127417500626

Cite this

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title = "On the Network Analysis of the State Space of Discrete Dynamical Systems",

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.",

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

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AU - Lü, Jinhu

AU - Shu, Shi

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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

M3 - 文章

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SN - 0218-1274

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ER -

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

Abstract

Keywords

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