Hamiltonian Dissipation in Infinite Dimensions

The following sections are included:

• Poincaré Recurrence and Attractors

  • The Lack of Recurrence in Infinite Dimensions

• Asymptotic and Liapunov Stability

  • Almost Attractors

• Reversible Attractors and Infinite Dimensional Hamiltonians

  • Reversible Almost Attractor in the Wave Equation

  • The Liouville Equation and Koopmanism

  • Landau Damping

  • The Boltzmann Equation and the BBGKY Hierarchy

  • Dissipation from Resonance

  • Resonant Coupling of Eikonal Waves

• The String with a Spring