An Introduction to Dynamical Systems and Chaos
by Marc Spiegelman
Publisher: LDEO 1997
Number of pages: 67
This tutorial will develop the basic ingredients necessary for modeling and understanding simple (and not so simple) non-linear dynamical systems. The goal of these exercises are to demonstrate you that you can develop significant insight into the behavior of complicated non-linear systems with just a little math, a little art and a little modeling software.
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by Boris Hasselblatt - Cambridge University Press
This book contains articles in several areas of dynamical systems that have recently experienced substantial progress. Some of the major surveys focus on symplectic geometry; smooth rigidity; hyperbolic, parabolic, and symbolic dynamics; etc.
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Aimed at mathematics and engineering graduate students and researchers in the areas of optimization, dynamical systems, control systems, signal processing, and linear algebra. The problems solved are those of linear algebra and linear systems theory.
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This textbook covers a wide range of concepts, notions and phenomena of a truly interdisciplinary subject. Complex system theory deals with dynamical systems containing a very large number of variables, showing a plethora of emergent features.
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