English

On the network analysis of the state space of discrete dynamical systems

Data Analysis, Statistics and Probability 2017-04-04 v2 Chaotic Dynamics

Abstract

This paper discusses the letter entitled "Network analysis of the state space of discrete dynamical systems" by A. Shreim et al. [Physical Review Letters, 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 1-D Cellular Automata.

Keywords

Cite

@article{arxiv.1611.06857,
  title  = {On the network analysis of the state space of discrete dynamical systems},
  author = {Cheng Xu and Chengqing Li and Jinhu Lü and Shi Shu},
  journal= {arXiv preprint arXiv:1611.06857},
  year   = {2017}
}

Comments

4 pages, 2 figures