2006/10/31 by Ernesto P. Borges, E. P. Borges, Daniel O. Cajueiro +3
Computer Science · Physics and Astronomy · #Chaos control and synchronization #Chaos, Complexity, and Education #Quantum chaos and dynamical systems #cond-mat.stat-mech
paper · pdf · doi:10.1140/epjb/e2007-00248-6
published as Eur. Phys. J. B 58, 469-474 (2007) · 13 pages, 8 eps files in 5 figures
arxiv created 2007/04/24 · openalex publication_date 2007/08/01 · arxiv updated 2011/12/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
A procedure to characterize chaotic dynamical systems with concepts of complex networks is pursued, in which a dynamical system is mapped onto a network. The nodes represent the regions of space visited by the system, while edges represent the transitions between these regions. Parameters used to quantify the properties of complex networks, including those related to higher order neighborhoods, are used in the analysis. The methodology is tested for the logistic map, focusing the onset of chaos and chaotic regimes. It is found that the corresponding networks show distinct features, which are associated to the particular type of dynamics that have generated them.