A path‐following method for finding multiple equilibrium points in cellular neural networks

摘要

AbstractOwing to the piecewise linear character of the non‐linearities, the computation of equilibrium points in a cellular neural network could be accomplished in a trivial way by solving 3nlinear systems (wherenis the number of neurons). This is clearly infeasible even for moderatenand it is the purpose of this paper to present a more efficient path‐following method for computing equilibrium points. the method is guaranteed to find at least one solution. the possibility of finding all solutions is also investigated and this leads to new theoretical insight to the relation between the properties of the interconnection matrix and the number of equilibrium poi