Introduction to Dynamical Systems: A Hands-on Approach with Maxima
by Jaime E. Villate
Number of pages: 43
In this book we explore some topics on dynamical systems, using an active teaching approach, supported by computing tools and trying to avoid too may abstract details. The subject of this book on dynamical systems is at the borderline of physics, mathematics and computing.
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The goal of these notes is to give a reasonably complete, although not exhaustive, discussion of what is commonly referred to as the Hopf bifurcation with applications to specific problems, including stability calculations.
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This text is a slightly edited version of lecture notes for a course to undergraduate Mathematics and Physics students. Contents: Examples of Dynamical Systems; Stationary and Periodic Solutions; Local Bifurcations; Introduction to Chaotic Dynamics.
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This book provides a systematic treatment of the mathematical underpinnings of work in data assimilation. Authors develop a framework in which a Bayesian formulation of the problem provides the bedrock for the derivation and analysis of algorithms.