On the network analysis of the state space of discrete dynamical systems
arXiv:1611.06857 · doi:10.1142/S0218127417500626
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.
4 pages, 2 figures