Dynamical systems / Shlomo Sternberg.
By: Sternberg, Shlomo.Material type: TextPublisher: 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
|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|
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|515.39 PIL Spaces of dynamical systems /||515.39 ROB An introduction to dynamical systems : continuous and discrete /||515.39 ROB Dimensions, embeddings, and attractors /||515.39 STE Dynamical systems /||515.392 DOL Hyperbolic dynamics, fluctuations, and large deviations /||515.392 SKI Singular perturbation theory /||515.42 AMB Gradient flows : in metric spaces and in the space of probability measures /|
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.