For centuries, astronomers have been interested in the motions of the planets and in methods to calculate their orbits. Since Newton, mathematicians have been fascinated by the related N-body problem. They seek to find solutions to the equations of motion for N masspoints interacting with an inverse-square-law force and to determine whether there are quasi-periodic orbits or not. Attempts to answer such questions have led to the techniques of nonlinear dynamics and chaos theory. In this book, a classic work of modern applied mathematics, Jurgen Moser presents a succinct account of two...
For centuries, astronomers have been interested in the motions of the planets and in methods to calculate their orbits. Since Newton, mathematician...
0.1 Introduction These lecture notes describe a new development in the calculus of variations which is called Aubry-Mather-Theory. The starting point for the theoretical physicist Aubry was a model for the descrip tion of the motion of electrons in a two-dimensional crystal. Aubry investigated a related discrete variational problem and the corresponding minimal solutions. On the other hand, Mather started with a specific class of area-preserving annulus mappings, the so-called monotone twist maps. These maps appear in mechanics as Poincare maps. Such maps were studied by Birkhoff during the...
0.1 Introduction These lecture notes describe a new development in the calculus of variations which is called Aubry-Mather-Theory. The starting point ...
Presents an introduction to the field of dynamical systems, in particular, to the special class of Hamiltonian systems. This book keeps the requirements of mathematical techniques minimal but gives detailed proofs and many examples and illustrations from p
Presents an introduction to the field of dynamical systems, in particular, to the special class of Hamiltonian systems. This book keeps the requiremen...
18 leichte Klaviertitel, die sich mit Edelsteinen, Heilsteinen und Mineralien auseinander setzen. Entstanden sind wohlklingende Stücke, welche die mystische Wirkung eines jeden Edelsteins erforschen und ihre jeweiligen Besonderheiten zum Klingen bringen.
Besetzung: Klavier solo
18 leichte Klaviertitel, die sich mit Edelsteinen, Heilsteinen und Mineralien auseinander setzen. Entstanden sind wohlklingende Stücke, welche die my...
