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Dynamical Systems, Theory and Applications [electronic resource] : Battelle Seattle 1974 Rencontres / edited by J. Moser.

Contributor(s): Material type: TextTextSeries: Lecture Notes in Physics ; 38Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1975Description: VI, 628 p. 1 illus. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540375050
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 520 23
LOC classification:
  • QB1-991
  • QB460-466
  • QB980-991
Online resources:
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.
In: Springer eBooks
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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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