Title :
Spatio-temporal patterns in cellular neural networks
Author :
Thiran, Patrick ; Setti, Gianluca ; Crounse, Kenneth R.
Author_Institution :
Swiss Federal Inst. of Technol., Lausanne, Switzerland
Abstract :
In this paper, we study the patterns that can be generated in Cellular Neural Networks. In particular, we consider first 1-dim. arrays with nearest neighbor coupling and periodic boundary conditions and show that an exponential number of equilibria exists, when the template is close to symmetric, but not when the template is close to antisymmetric: in this case periodic solutions are present. Finally we focus on the dynamics of pattern formation in 2-dim. arrays with symmetric template
Keywords :
cellular neural nets; antisymmetric template; cellular neural network; equilibria; nearest neighbor coupling; one-dimensional array; periodic boundary conditions; periodic solutions; spatio-temporal pattern formation dynamics; symmetric template; two-dimensional array; Boundary conditions; Cells (biology); Cellular neural networks; Chemistry; Differential equations; Intelligent networks; Nearest neighbor searches; Pattern formation; Physics; Systems biology;
Conference_Titel :
Circuits and Systems, 1996. ISCAS '96., Connecting the World., 1996 IEEE International Symposium on
Conference_Location :
Atlanta, GA
Print_ISBN :
0-7803-3073-0
DOI :
10.1109/ISCAS.1996.541500
