9783540071716

Dynamical Systems, Theory and Applications

Format: Paperback

ISBN13: 9783540071716

Paperback|9783540071716


Overview

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.

ISBN-13

9783540071716

ISBN-10

3540071717

Weight

2.20 Pounds

Dimensions

6.69 x 1.44 x 9.61 In

List Price

$54.99

Edition

1st Edition

Format

Paperback

Language

English

Pages

vi, 628 pages

Publisher

Springer

Published On

1975-06-13



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