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Dynamical Systems, Theory and Applications

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Cover of 'Dynamical Systems, Theory and Applications'

Table of Contents

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    Book Overview
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    Chapter 1 Time evolution of large classical systems
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    Chapter 2 Ergodic properties of infinite systems
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    Chapter 3 Time evolution and ergodic properties of harmonic systems
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    Chapter 4 The laser: A reversible quantum dynamical system with irreversible classical macroscopic motion
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    Chapter 5 What does it mean for a mechanical system to be isomorphic to the Bernoulli flow?
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    Chapter 6 The Geodesic flow on surfaces of negative curvature
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    Chapter 7 Lectures on the billiard
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    Chapter 8 Solutions of the collinear four body problem which become unbounded in finite time
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    Chapter 9 Nonlinear wave equations
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    Chapter 10 Integrable systems of nonlinear evolution equations
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    Chapter 11 Discrete and periodic illustrations of some aspects of the inverse method
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    Chapter 12 Finitely many mass points on the line under the influence of an exponential potential -- an integrable system
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    Chapter 13 On traveling wave solutions of nonlinear diffusion equations
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    Chapter 14 The existence of heteroclinic orbits, and applications
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    Chapter 15 Hadamard's generalization of hyperbolicity, with applications to the hopf bifurcation problem
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    Chapter 16 Hyperbolic sets and shift automorhpisms
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    Chapter 17 Triple collision in Newtonian gravitational systems
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    Chapter 18 Solutions of the collinear four body problem which become unbounded in finite time
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    Chapter 19 On optimal estimates for the solutions of linear partial differential equations of first order with constant coefficients on the torus
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