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Dynamical systems / Shlomo Sternberg.

By: Sternberg, Shlomo.
Material type: TextTextPublisher: Mineola, N.Y. : Dover Publications, 2010Description: iii, 265 p., USD 15.95 ill. ; 24 cm.ISBN: 9780486477053 (pbk.); 0486477053 (pbk.).Subject(s): Dynamics | Differentiable dynamical systemsDDC classification: 515/.39
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.
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, including PowerPoint lecture slides for professors and MATLAB exercises."--Publisher's description.
Item type Current location Call number Status Date due Barcode Item holds
Book Chennai Mathematical Institute
General Stacks 		515.39 STE (Browse shelf) Available 8876
Total holds: 0

Includes bibliographical references (p. 261-265) and index.

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.

"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.