標題: Asymptotic behaviors in a transiently chaotic neural network
作者: Chen, SS
Shih, CW
應用數學系
Department of Applied Mathematics
關鍵字: neural network;Lyapunov function;convergence of dynamics
公開日期: 1-Apr-2003
摘要: We are interested in the asymptotic behaviors of a discrete-time neural network. This network admits transiently chaotic behaviors which provide global searching ability in solving combinatorial optimization problems. As the system evolves, the variables corresponding to temperature in the annealing process decrease, and the chaotic behaviors vanish. We shall find sufficient conditions under which evolutions for the system converge to a fixed point of the system. Attracting sets and uniqueness of fixed point for the system are also addressed. Moreover, we extend the theory to the neural networks with cycle-symmetric coupling weights and other output functions. An application of this annealing process in solving travelling salesman problems is illustrated.
URI: http://hdl.handle.net/11536/145694
ISSN: 1078-0947
期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Volume: 10
起始頁: 805
結束頁: 826
Appears in Collections:Articles