Modelling and Simulation Tarik Booker
What is it (in relation to Computer Science)? Modelling and Simulation refer to the computerized modelling and simulation of numerical systems Non-Linear Dynamical Systems Fractal Theory Fuzzy Logic (Neural Networks)
Dynamical Systems Attempt to understand processes in motion –Ex: Motion of Stars and Galaxies Differential Equations Iterative Systems
Fractal Theory Technically no connection between dynamical systems and fractal geometry, but most chaotic regions for dynamical regions are fractals
Fuzzy Logic The Fuzzy Inference System –Rule Base –Data base (dictionary) –Reasoning Mechanism Fuzzy Set Theory Fuzzy Inference Rules
Sources Devaney, Robert L. A First Course in Chaotic Dynamical Systems Melin, Patricia and Castillo, Oscar Modelling, Simulation, and Control of Non- Linear Dynamical Systems