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Dynamical systems

Author: Shlomo Sternberg
Publisher: Mineola, N.Y. : Dover Publications, 2010.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
"Celebrated mathematician Shlomo Sternberg, a pioneer in the field of dynamical systems, created this modern one-semester introduction to the subject for his classes at Harvard University. Its wide-ranging treatment covers one-dimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains. Supplementary materials offer a variety of online components,  Read more...
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Document Type: Book
All Authors / Contributors: Shlomo Sternberg
ISBN: 9780486477053 0486477053
OCLC Number: 468972314
Description: iii, 265 pages : illustrations ; 24 cm
Contents: Iteration and fixed points --
Bifurcations --
Sarkovsky's theorem, Singer's theorem, intermittency --
Conjugacy --
Space and time averages --
The contraction fixed point theorem --
The Hausdorff metric and Hutchinson's theorem --
Hyperbolicity --
The Perron-Frobenius theorem --
Some topics in ordinary differential equations --
Lotka-Volterra --
Symbolic dynamics.
Responsibility: Shlomo Sternberg.

Abstract:

"Celebrated mathematician Shlomo Sternberg, a pioneer in the field of dynamical systems, created this modern one-semester introduction to the subject for his classes at Harvard University. Its wide-ranging treatment covers one-dimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains. Supplementary materials offer a variety of online components, including PowerPoint lecture slides for professors and MATLAB exercises."--Publisher's description.

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