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Matrix tests for period 1 and 2 limit cycles in discrete threshold networks

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1 Author(s)
Brown, D. ; Dept. of Electr. Eng., Southern Illinois Univ., Carbondale, IL, USA

The dynamics of discrete threshold neural networks is studied using a matrix inequality which is shown to be equivalent to the nonlinear state transition equation of the network. Some matrix tests for the existence of period 1 and 2 limit cycles are presented. Some types of vector sequences are shown not to be limit cycles

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Systems, Man and Cybernetics, IEEE Transactions on  (Volume:22 ,  Issue: 3 )