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Modelling and Simulation Tarik Booker
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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)
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Dynamical Systems Attempt to understand processes in motion –Ex: Motion of Stars and Galaxies Differential Equations Iterative Systems
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Fractal Theory Technically no connection between dynamical systems and fractal geometry, but most chaotic regions for dynamical regions are fractals
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Fuzzy Logic The Fuzzy Inference System –Rule Base –Data base (dictionary) –Reasoning Mechanism Fuzzy Set Theory Fuzzy Inference Rules
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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
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