Title :
Dynamical Properties of Some Coupled Map Networks with Applications to Multi-layer Center Networks
Author :
Guo, Shujuan ; Fu, Xinchu
Author_Institution :
Dept. of Math., Shanghai Univ., Shanghai, China
Abstract :
In this paper, the synchronization and stability of some coupled map networks (CMN) are studied. Via linear stability analysis method, the stability of the synchronized state of CMN is determined by the eigenvalues of a matrix A, and for the chaos Logistic map, the range of the coupling strength ¿ of CMN is given. These results are applied to a class of multi-layer center networks, and some specific results are induced. Finally, numerical simulations are presented to verify these results.
Keywords :
chaos; complex networks; eigenvalues and eigenfunctions; matrix algebra; network theory (graphs); stability; synchronisation; chaos logistic map; coupled map network; linear stability analysis; matrix eigenvalues; multilayer center networks; synchronization; Chaos; Complex networks; Couplings; Eigenvalues and eigenfunctions; Government; Logistics; Mathematics; Numerical simulation; Physics; Stability analysis; coupled map network; multi-layer center network; stability; synchronization;
Conference_Titel :
Chaos-Fractals Theories and Applications, 2009. IWCFTA '09. International Workshop on
Conference_Location :
Shenyang
Print_ISBN :
978-0-7695-3853-2
DOI :
10.1109/IWCFTA.2009.78
