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Computable Integrability by Alexey Shabat, Elena Kartashova
 
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Ebooks May 29, 2022 2

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Author
Alexey Shabat, Elena Kartashova
Publisher
arXiv 2011
This is a preliminary version of the textbook on integrable systems. Contents: General notions and ideas; Riccati equation; Factorization of linear operators; Commutativity of linear operators; Integrability of non-linear PDEs; Burgers-type equations.
 
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Ebooks May 28, 2022 4

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Author
Shlomo Sternberg
Publisher
OER Commons 2000
This book addresses the following topics: Iterations and fixed points; bifurcations; conjugacy; space and time averages; the contraction fixed point theorem; Hutchinson's theorem and fractal images; hyperbolicity; and symbolic dynamics.
Valuations and Hyperbolicity in Dynamics by Thomas Ward
 
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Ebooks May 27, 2022 2

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Author
Thomas Ward
Publisher
University of East Anglia 2001
These notes describe several situations in dynamics where the notion of valuations on rings provides a simple language in which to describe and exploit (analogues of) hyperbolicity. This approach goes a little beyond simply providing a convenient language.
 
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Ebooks May 27, 2022 4

Ebook Details

Author
Thomas Ward
Publisher
University of East Anglia 2001
These notes cover a very short introduction to measure-theoretic and topological entropy, and are aimed at understanding part of Yuzvinskii's formula for the entropy of compact group automorphisms. Based on a course at the Ohio State University.
Introduction to Dynamical Systems: A Hands-on Approach with Maxima by Jaime E. Villate
 
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Ebooks May 27, 2022 2

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Author
Jaime E. Villate
Publisher
2006
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.
Discrete Dynamical Systems by Arild Wikan
 
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Ebooks May 26, 2022 3

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Author
Arild Wikan
Publisher
Bookboon 2013
This book covers important topics like stability, hyperbolicity, bifurcation theory and chaos, topics which are essential in order to understand the fascinating behavior of nonlinear discrete dynamical systems.
Local Theory of Holomorphic Foliations and Vector Fields by Julio C. Rebelo, Helena Reis
 
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Ebooks May 25, 2022 3

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Author
Julio C. Rebelo, Helena Reis
Publisher
arXiv 2011
These are slightly informal lecture notes intended for graduate students about the standard local theory of holomorphic foliations and vector fields. Though the material presented here is well-known some of the proofs differ slightly from the classical arguments.
Geometrical Theory of Dynamical Systems by Nils Berglund
 
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Ebooks May 24, 2022 2

Ebook Details

Author
Nils Berglund
Publisher
arXiv 2001
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.
An Introduction to Quantum Chaos by Mason A. Porter
 
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Ebooks May 23, 2022 4
Nonlinear dynamics ("chaos theory") and quantum mechanics are two of the scientific triumphs of the 20th century. The former lies at the heart of the modern interdisciplinary approach to science,
A Short Introduction to Classical and Quantum Integrable Systems by O. Babelon
 
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Ebooks May 22, 2022 3

Ebook Details

Author
O. Babelon
Publisher
2007
An introduction to integrable systems. From the table of contents: Integrable dynamical systems; Solution by analytical methods; Infinite dimensional systems; The Jaynes-Cummings-Gaudin model; The Heisenberg spin chain; Nested Bethe Ansatz.
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