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Continuous and discrete models of dynamical systems. The
classical
models of deterministic dynamical systems such as orbital dynamics and
fluids. Nonlinear systems including continuous and discrete chaos
theory. Variational methods, inertial tensor, stability, Einstein
summation, Lyapunov exponent, bifurcation diagrams, phase space,
Poincare projections, Universality, Cantor set, entropy and fractal
dimensions. Emphasis on computer solutions using both procedural
languages and symbolic manipulation.
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