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 NONLINEAR DYNAMICS

Overview, Fixed Points of Flows and Maps, One dimensional maps - logistic equation, Bifurcations, Fixed points of two dimensional systems,Ecological Modelling - Lotka-Volterra Equation, Hamiltonian System, Lyapunov Functions, Reversible Systems, Index Theory, Limit Cycles, Glycolysis, Van der Pol Oscillator, Bifurcations in two dimensions, Lorenz System, Fractals, One dimensional Maps, Strange Attractors.