CHAOTIC MODELING AND SIMULATION IN ROTATION-TRANSLATION MODELS

Chaotic modeling and simulation is a fast growing field that influences the world around us, and consequently also influences our ways of approaching, analyzing and solving problems. In this paper the rotation-translation case is presented based on the theory analyzed in the book - Chaotic Modeling and Simulation: Analysis of Chaotic Models, Attractors and Forms published by the above authors [Skiadas & Skiadas, 2008]. An overview of the chaotic flows in rotation-translation is given. Special cases and illustrations of chaotic attractors and forms are presented and a method of comparative presentation and analysis of the flows by using both continuous and discrete methods is applied by deriving the appropriate differential and difference equations' analogue. Furthermore, an analysis of chaotic attractors resulting in the models proposed is given along with an exploration of the characteristic or equilibrium points.