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Modelling and Simulation

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.

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Modelling and Simulation

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  1. Modelling and Simulation Tarik Booker

  2. 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)

  3. Dynamical Systems • Attempt to understand processes in motion • Ex: Motion of Stars and Galaxies • Differential Equations • Iterative Systems

  4. Fractal Theory • Technically no connection between dynamical systems and fractal geometry, but most chaotic regions for dynamical regions are fractals

  5. Fuzzy Logic • The Fuzzy Inference System • Rule Base • Data base (dictionary) • Reasoning Mechanism • Fuzzy Set Theory • Fuzzy Inference Rules

  6. 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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