Nonlinear Circuits and Neural Networks.

Abstract : Several results in the area of complex dynamics of arrays of nonlinear dynamical systems have been obtained, including sufficient conditions for synchronization, estimates of dimensional characteristics of 2D patterns, effects of sidewall forcing on Turning patterns and bifurcation scenarios of nonautonomous chaotic circuits. A CNN universal machine cell was designed in VLSI technology. Several image enhancement, filtering and compression CNN algorithms were developed. Several mathematical problems and models were implemented on the CNN architecture, including the Navier-Stokes equations, mathematical morphological operators, cellular automata, models of population dynamics, models of pattern formation and models of optical illusions.