4 edition of Classical Dynamical Systems found in the catalog.
|LC Classifications||Jan 01, 1978|
|The Physical Object|
|Pagination||xvi, 116 p. :|
|Number of Pages||40|
nodata File Size: 5MB.
If we limit our definition to dynamical instability or - better - nonzero KS-entropywe could get too nonmixing chaotic systems. Gradually the key concepts and mathematical results are presented and special attention is paid to their relevance for quantum dynamics.
The book reflects this virtue. This is a very compact book. The treatment of classical dynamical systems uses analysis on manifolds to provide the mathematical setting for discussions of Hamiltonian systems, canonical transformations, constants of motion, and perturbation theory.
What I've understood is that if we adopt a strong definition of chaos i.
Aside from brief glimpses, the text does not engage in chaotic dynamics or bifurcations. This book combines the enlarged and corrected editions of both volumes on classical physics stemming from Thirrings famous course. Please be sure to answer the question. Having lectured in mathematical physics, he published his lecture notes, and, later, transformed them into a book of 4 volumes. One of the best aspects though is that this book includes problems WITH solutions.
It is at the graduate level and requires some working knowledge of analysis and topology.
geometry, it is in showing how to apply it to physics.
At a point in his career he decided to show his fellows what they were losing by ignoring the modern mathematics.
It includes among its derivations the KAM theorem along with Poincare's Recurrence theorem.