Dynamical systems
By: Shlomo Sternberg
Publisher: Dover Publications
Published: 2010
Place of publication: Mineola, N.Y
Language: eng
Number of pages: 265
ISBN-13: 9780486477053
Subjects: Dynamics; Differentiable dynamical systems
Description: "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.
Notes: Includes bibliographical references (p. 261-265) and index.
Table of contents: title: Iteration and fixed points; title: Bifurcations; title: Sarkovsky's theorem, Singer's theorem, intermittency; title: Conjugacy; title: Space and time averages; title: The contraction fixed point theorem; title: The Hausdorff metric and Hutchinson's theorem; title: Hyperbolicity; title: The Perron-Frobenius theorem; title: Some topics in ordinary differential equations; title: Lotka-Volterra; title: Symbolic dynamics.