The continuous logic "equivalental" models (CLEM) of Hamming neural networks (NN) with adaptive-correlated weighting (HNN ACW) and multiport associative memory (MAM) based on equivalence operation of neural logic are considered. The models for simple network with weighted correlation coefficient, for network with adapted weighting and double weighting and their system equivalental func ions are suggested. The models require calculations based on two-step algorithms and vector-matrix procedures with the normalized equivalence operation. Modified equivalence models of neural networks and associative memory for space-invariant 2D pattern recognition are proposed. Possible variants of the models implementation are considered. Neural networks architecture for invariant 2D pettern recognition consist of equivalentors, every of which replace two correlators.