Title :
Turing patterns in CNNs. II. Equations and behaviors
Author :
L. Goras;L.O. Chua
Author_Institution :
Electron. Res. Lab., California Univ., Berkeley, CA, USA
Abstract :
For part I, see ibid., vol. 42, no. 10, pp. 602-11 (Oct. 1995). The general state equations describing two-grid coupled CNNs based on the reduced Chua´s circuit are derived, and the analysis of Turing pattern formation is approached from a specific point of view: spatial-eigenfunction based equation decoupling. Discrete spatial eigenfunctions for two common types of boundary conditions are presented, and the way the dynamics is influenced by the shape and position of the dispersion curve is analyzed.
Keywords :
"Cellular neural networks","Pattern formation","Laplace equations","Pattern analysis","Differential equations","Circuits","Eigenvalues and eigenfunctions","Couplings","Steady-state","Boundary conditions"
Journal_Title :
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
