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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
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File Type :PDF
Number of Pages :258

Description
The first 12 chapters cover fairly standard topics in one dimensional dynamics and should be accessible to most upper level undergraduate students. The requirements from real analysis and topology are developed as the material progresses. Chapter 13 gives an introduction to the theory of substitutions and shows how these can give rise to certain types of fractals. Subsequent chapters develop the rigorous mathematical theory of substitutions and Sturmian sequences.
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