Sternberg, Shlomo.
Dynamical systems / Shlomo Sternberg. - Mineola, N.Y. : Dover Publications, 2010. - iii, 265 p. : ill. ; 24 cm.
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.
9780486477053 (pbk.)
2010282949
Dynamics.
Differentiable dynamical systems.
QA845 / .S77 2010
515.39 / STD
Dynamical systems / Shlomo Sternberg. - Mineola, N.Y. : Dover Publications, 2010. - iii, 265 p. : ill. ; 24 cm.
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.
9780486477053 (pbk.)
2010282949
Dynamics.
Differentiable dynamical systems.
QA845 / .S77 2010
515.39 / STD