Robust synchronization of a class of chaotic networks

0398127 - ÚTIA 2014 RIV GB eng J - Journal Article
Čelikovský, Sergej - Lynnyk, Volodymyr - Chen, G.
Robust synchronization of a class of chaotic networks.
Journal of the Franklin Institute-Engineering and Applied Mathematics. Roč. 350, č. 10 (2013), s. 2936-2948. ISSN 0016-0032. E-ISSN 1879-2693
R&D Projects: GA ČR(CZ) GAP103/12/1794
Institutional support: RVO:67985556
Keywords : generalized Lorenz system * robust synchronization * dynamical complex network
Subject RIV: BC - Control Systems Theory
Impact factor: 2.260, year: 2013
http://library.utia.cas.cz/separaty/2013/TR/celikovsky-0398127.pdf

This paper studies synchronization of a dynamical complex network consisting of nodes being generalized Lorenz chaotic systems and connections created with transmitted synchronizing signals. The focus is on the robustness of the network synchronization with respect to its topology. The robustness is analyzed theoretically for the case of two nodes with two-sided (bidirectional) connections, and numerically for various cases with large numbers of nodes. It is shown that, unless a certai nminimal coherent topology is present in the network, synchronization is always preserved. While for a minimal network where,the resulting synchrony reduces to semi-global if redundant connections are added.
Permanent Link: http://hdl.handle.net/11104/0225710