To generate all mutual connection-type neural networks from n-pieces of units realizing the designated finite number of orbits for a non-linear dynamic system on an n-dimensional space Rn.

A time sequential leaning means 20 learning the special solution W* of the wait matrix W of the mutual connection-type neural network with a TDRBP method, a subset generation means 30 calculating and outputting mL-pieces of vectors q1, q2,..., qnL in the n-dimensional vector space Rn, which are the images of orbit information ξ(1), ξ(2),..., ξ(n) by means of the unit activation function of the mutual connection-type neural network, a base generation means 40 inputting the vectors q1, q2,..., qnL and calculating the bases {e1,..., ed} of the orthogonal complementary space of a minimum part vector space in the vector space Rn and a weighted matrix generation means 50 inputting an n×d matrix A which is arbitrarily given, the special solution W* and the bases {e1,..., ed} and calculating the weighted matrix W are provided.