Some creative properties of the 2D and 3D lattice distributed interconnected chaotic oscillators and neuronal networks
Vladimir Gontar · PAMM · 2007
Abstract Mathematical modeling and computer simulations of brain creativity & consciousness, artificial intelligence, mathematical imaging are the areas of research where the networks of interconnected oscillators playing an important role. Here we are presenting novel approach for mathematical modeling of brain creativity in a form of 2D symmetrical colored artistic patterns (ornaments) and 3D patterning. It was shown that special networks of chaotic oscillators simulated by the difference equations (discrete logistic equation, Henon equations and discrete chemical reactions basic equations [1]) possess creative patterns within their chaotic regimes. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)