MA454 Text material

Introduction (html) Some history of dynamics (html) Banach's fixed point thm (gif) The existence theorem for ODE's (gif) The accuracy of ODE solvers (gif) Linear algebra shake (gif) Classification of linear ODE (gif) The trace-Determinant diagram (gif) How a machine solves linear ODE's (gif) Existence of stable manifolds (gif) Poincare-Bendixon theorem (gif) The index 1 (gif) The index 2 (gif) The theorem of Lienard (gif) The theorem of Grobman-Harman (gif) Hausdorff dimension (gif) Boxcounting dimension (gif) Iterated function systems (gif) Selfsimilarity dimension (gif)

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