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Chaotic neural networks and their application to optimization problems. (English) Zbl 0989.90109
Summary: We first review three chaotic neural network models, and then propose a novel approach to chaotic simulated annealing. Second, we apply all of them to 10-city travelling salesman problem, respectively. The time evolutions of energy functions and outputs of neurons for each model are given. The features and effectiveness of four methods are discussed and evaluated according to the simulation results. We conclude that proposed neural network with simulated annealing have more powerful ability to obtain global minima than any other chaotic neural network model.
MSC:
90C27Combinatorial optimization
90C59Approximation methods and heuristics
92B20General theory of neural networks (mathematical biology)