Chaos In Dynamical Systems Second Edition 2nd Edition Edward Ott by Edward Ott 9780521811965, 0521811961 instant download after payment.

In the new edition of this classic textbook Ed Ott has added much new material and has significantly increased the number of homework problems. The most important change is the addition of a completely new chapter on control and synchronization of chaos. Other changes include new material on riddled basins of attraction, phase locking of globally coupled oscillators, fractal aspects of fluid advection by Lagrangian chaotic flows, magnetic dynamos and strange nonchaotic attractors.
Over the past few decades scientists, mathematicians and engineers have come to understand that a large variety of systems exhibit complicated evolution with time. This complicated behavior, known as chaos, occurs so frequently that it has become important for workers in many disciplines to have a good grasp of the fundamentals and basic tools of the science of chaotic dynamics.
Topics in the book include: attractors; basins of attraction; one dimensional maps; fractals; Hausdorff dimensions; symbolic dynamics; stable and unstable manifolds; Lyapunov exponents; metric and topological entropy; chaotic transients; fractal basin boundaries; chaotic scattering; quasiperiodicity; Hamiltonian systems; KAM tori; period doubling cascades; the intermittency transition to chaos; crises; bifurcations to chaos in scattering problems and in fractal basin boundaries; the characterization of dynamics by unstable periodic orbits; control and synchronization of chaos; and quantum chaos in time dependent bounded systems, as well as in temporarily kicked and scattering problems. Homework problems are included throughout the book.
This new edition will be of interest to advanced undergraduates and graduate students in science, engineering and mathematics taking courses in chaotic dynamics, as well as to researchers in the subject.
Edward Ott is currently on the faculty of the University of Maryland where he holds the title of Distinguished University Professor of Physics and of Electrical and Computer…