Dynamical Systems, Theory and Applications
Time evolution of large classical systems.- Ergodic properties of infinite systems.- Time evolution and ergodic properties of harmonic systems.- The laser: A reversible quantum dynamical system with irreversible classical macroscopic motion.- What does it mean for a mechanical system to be isomorphic to the Bernoulli flow?.- The Geodesic flow on surfaces of negative curvature.- Lectures on the billiard.- Spectral invariants and smooth ergodic theory.- Nonlinear wave equations.- Integrable systems of nonlinear evolution equations.- Discrete and periodic illustrations of some aspects of the inverse method.- Finitely many mass points on the line under the influence of an exponential potential -- an integrable system.- On traveling wave solutions of nonlinear diffusion equations.- The existence of heteroclinic orbits, and applications.- Hadamard's generalization of hyperbolicity, with applications to the hopf bifurcation problem.- Hyperbolic sets and shift automorhpisms.- Triple collision in Newtonian gravitational systems.- Solutions of the collinear four body problem which become unbounded in finite time.- On optimal estimates for the solutions of linear partial differential equations of first order with constant coefficients on the torus.
| Erscheint lt. Verlag | 13.6.1975 |
|---|---|
| Reihe/Serie | Lecture Notes in Physics |
| Zusatzinfo | VI, 628 p. 1 illus. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 170 x 244 mm |
| Gewicht | 1079 g |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik |
| Schlagworte | Diffusion • Dynamical Systems • ergodic theory • Gravitation • Wave |
| ISBN-13 | 9783540071716 / 9783540071716 |
| Zustand | Neuware |
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