Title :
Edge of spatio-temporal chaos in cellular nonlinear networks
Author :
Dmitriev, Alexander S. ; Andreyev, Yuri V.
Author_Institution :
Inst. of Radio Eng. & Electron., Acad. of Sci., Moscow, Russia
Abstract :
We investigate phenomena of the edge of spatially uniform chaotic mode and spatial temporal chaos in a lattice of chaotic 1D maps with only local connections. It is shown that in autonomous lattice with local connections, spatially uniform chaotic mode cannot exist if the Lyapunov exponent λ of the isolated chaotic map is greater than some critical value λcr>0. We proposed a model of a lattice with a pacemaker and found a spatially uniform mode synchronous with the pacemaker, as well as a spatially uniform mode different from the pacemaker mode
Keywords :
Lyapunov methods; cellular neural nets; chaos; pacemakers; synchronisation; Lyapunov exponent; autonomous lattice; cellular nonlinear networks; chaotic map; chaotic mode; pacemaker; spatial temporal chaos; synchronisation; Cellular networks; Chaos; Information processing; Intelligent networks; Lattices; Logistics; Nearest neighbor searches; Pacemakers; Spatiotemporal phenomena; Stationary state;
Conference_Titel :
Cellular Neural Networks and Their Applications Proceedings, 1998 Fifth IEEE International Workshop on
Conference_Location :
London
Print_ISBN :
0-7803-4867-2
DOI :
10.1109/CNNA.1998.685341