Turing patterns in CNNs. III. Computer simulation results

For part II, see ibid., vol. 42, no. 10, pp. 612-26 (Oct. 1995). In this paper, various patterns obtained through computer simulations are presented. It is shown through simple examples that the four inequalities known as the Turing instability conditions are only necessary but not sufficient conditions for Turing patterns to exist. The influence of various parameters, initial conditions as well as sidewall forcing on the final patterns and the possibilities of eliminating defects are studied by means of computer simulations. The possibility of generating perfectly regular patterns or patterns with few defects through the application of small and short controlling signals at one boundary suggests the intriguing possibility of producing high-purity high-tech materials, such as crystals, which was not possible with current technology. In addition, novel applications in image processing, pattern recognition, and other areas can be expected.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>