Statistical mechanics of an oscillator associative memory with scattered natural frequencies

Analytic treatment of a nonequilibrium random system with large degrees of freedom is one of the most important problems of physics. however, little r esearch has been done on this problem as far as we know. In this paper, we propose a new mean field theory that can treat a general class of nonequili brium random system. We apply the present theory to an analysis of an assoc iative memory with oscillatory elements, which is a well-known typical rand om system with large degrees of freedom. [S0031-9007(99)08816-X].