A Novel Chaotic Neural Network with Radial Basis Function and Their Application to TSP

A novel transiently chaotic neural network with radial basis function is proposed by analyzing the capability of chaotic search and the effect in solving combinational optimization problem. The character of Radial basis function is higher nonlinear and better function approaching ability. So a novel transiently chaotic neural network is presented by transferring sigmoid activation function into non-monotonous activation function which is composed by Contrary Multiquadric function and Sigmoid. This network is used to solve Traveling Salesman Problem (TSP), and the simulation result indicates that it can avoid the limit of being trapped into the local minima and converge to the global minima with high speed.