Transcription of An Modern Introduction to Dynamical Systems - Mathematics
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An Modern Introduction toDynamical SystemsRichard J. BrownContentsPrefaceiiiChapter 1. What is a Dynamical System? Ordinary Differential Equations (ODEs) Symbolic Higher-order The viewpoint12 Chapter 2. Simple A simple The The Contraction Contractions on Contractions in several Application: Newton-Raphson Application: Existence and Uniqueness of ODE Application: Heron of Interval Fixed point Monotonic Homoclinic/heteroclinic First Return A Quadratic Interval Map: The Logistic More general metric The unit The The A Cantor The Koch Sierpinski Gasket:63 Chapter 3.
abstract dynamical system, (2) advanced enough that the course can utilize the relevant topological, analytical and algebraic nature of the topic without requiring ... linear algebra and di erential equations. iii. iv PREFACE It is a tall order, this is understood. However, it can be accomplished, I believe, ...
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