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Lecture Notes on Dynamical Systems, Chaos And Fractal Geometry

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Lecture Notes on Dynamical Systems, Chaos And Fractal Geometry

Lecture Notes on Dynamical Systems, Chaos And Fractal Geometry

Topics covered in this notes include: The Orbits of One-Dimensional Maps, Bifurcation and the Logistic Family, Sharkovsky’s Theorem, Metric Spaces, Devaney’s Definition of Chaos, Conjugacy of Dynamical Systems, Singer’s Theorem, Fractals, Newton’s Method, Iteration of Continuous Functions, Linear Transformation and Transformations Induced by Linear Transformations, Some Elementary Complex Dynamics, Examples of Substitutions, Compactness in Metric Spaces and the Metric Properties of Substitutions, Substitution Dynamical Systems, Sturmian Sequences and Irrational Rotations.

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s272 Pages
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