Abstract
Discrete chaotic dynamics (DCD) of living and thinking systems are presented in a form of networks of interacting agents with the abilities of energy and information exchange. Special dynamical principles followed by the systems of basic discrete time and space difference equations are introduced. Emergent, self-organized behavior of complex living and thinking systems is presented by the different patterns generated by the DCD algorithms. Artificial life and brain systems based on DCD principles and mathematical models are proposed.