On the Network Analysis of the State Space of Discrete Dynamical Systems
Cheng Xu, Chengqing Li, Jinhu Lü, Shi Shu · International Journal of Bifurcation and Chaos · 2017
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.