Dynamical networks are systems of active elements (nodes) interacting with each other via links or couplings. Examples are power grids, neural structures, coupled chemical oscillators, communications networks, etc. , all of which are characterized by the network structure and intrinsic dynamics of their interacting components. If the coupling structure of a dynamical network can change over time due to nodal dynamics then such a system is called an adaptive dynamical network. The term "adaptive" implies that the coupling topology can be rewired; the term "dynamical" implies the presence of internal node and link dynamics. Main results on adaptive dynamical networks are reviewed. Key notions and definitions of the theory of complex networks are given and major collective effects that emerge in adaptive dynamical networks are described.

Keywords: dynamical networks, adaptive links, synchronization, attractor, coupled oscillators PACS: 05.45.−a, 05.45.Xt, 87.10.−e (all) DOI: 10.3367/UFNe.2016.10.037902 URL: https://ufn.ru/en/articles/2017/7/c/ 000412937700003 2-s2.0-85023640544 2017PhyU...60..694M Citation: Maslennikov O V, Nekorkin V I "Adaptive dynamical networks" Phys. Usp. 60 694–704 (2017) BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks Received: 24th, August 2016, revised: 3rd, October 2016, accepted: 12th, October 2016 Оригинал: Масленников О В, Некоркин В И «Адаптивные динамические сети» УФН 187 745–756 (2017); DOI: 10.3367/UFNr.2016.10.037902