Dynamical Systems, Theory and Applications: Battelle Seattle 1974 Rencontres

Dynamical Systems, Theory and Applications: Battelle Seattle 1974 Rencontres

by J. Moser (Editor)


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Product Details

ISBN-13: 9783540071716
Publisher: Springer Berlin Heidelberg
Publication date: 07/14/1975
Series: Lecture Notes in Physics , #38
Edition description: 1975
Pages: 628
Product dimensions: 6.69(w) x 9.61(h) x 0.05(d)

Table of Contents

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.

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