2015/11/02 by Anna Krakovská, Jozef Jakubík, Krakovská, Anna +5
Computer Science · Physics and Astronomy · #37 Dynamical systems #Chaos control and synchronization #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.1511.00505
openalex publication_date 2015/11/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Three state-space based methods were tested in relation to the ability to detect unidirectional coupling and synchronization of interconnected dynamical systems. The first method, based on measure named M, was introduced by Andrzejak et al. in 2003 [1]. The second one, based on measure L, was described in 2009 by Chicharro et al. [5]. The third method, called convergent cross-mapping, came from Sugihara et al., 2012 [28]. The methods were compared on 9 test examples of uni-directionally connected chaotic systems of Hénon, Rössler and Lorenz type. The tested systems were selected from previously published causality studies. Matlab code for the three methods is provided. The results show that each of the three examined state-space methods managed to reveal the presence and the direction of couplings and also to detect the onset of full synchronization.