Concepts and Results in Chaotic Dynamics: A Short Course

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Oktober 2006



The study of dynamical systems is a well established field. Having given graduate-level courses on the subject for many years, the authors have now written this book to provide a panorama of the aspects that are of interest to mathematicians and physicists alike. Avoiding belaboured proofs, the exposition concentrates instead on abundant illustrations and examples, while still retaining sufficient mathematical precision. Besides the standard topics of the field, questions of physical measurement and stochastic properties of chaotic dynamical systems are given much attention.


A Basic Problem.
Dynamical Systems.
Topological Properties.
Invariant Measures.
Statistics and Statistical Mechanics.
Other Probabilistic Results.
Experimental Aspects.



From the reviews:
"The book is a good introduction to the field of dynamical systems with a particular emphasis on statistical properties and applications. In particular, the relations both with real experiments with numerical simulations are discussed. ... The book contains many figures that really help the understanding of the text. The book can be used as a text for an introductory course in dynamical systems (at the master's or Ph.D. level). It is particularly suited for students with interests in applications (either physics, economy or biology)." (Carlangelo Liverani, Mathematical Reviews, Issue 2007 m)
"Two thoughts crossed my mind when I picked up this book. The first was: 'what a physically attractive book.' The second was: 'what a short book to have on such a wide ranging topic.' ... It is a perfect size to carry in a knapsack, the print is clear and the layout of text, equations, and figures is marvelously done. ... images are multi-colored stereo images, and allow the reader to 'see' a three dimensional effect that helps illustrate the phenomena." (David S. Mazel, MathDL, December, 2007)
EAN: 9783540347057
ISBN: 3540347054
Untertitel: 'Theoretical and Mathematical Physics'. 2006. Auflage. Book. Sprache: Englisch.
Verlag: Springer
Erscheinungsdatum: Oktober 2006
Seitenanzahl: 244 Seiten
Format: gebunden
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