Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equation Academic Article uri icon

abstract

  • We review recent results on global attractors of U(1)-invariant dispersive Hamiltonian systems. We study several models based on the Klein-Gordon equation and sketch the proof that in these models, under certain generic assumptions, the weak global attractor is represented by the set of all solitary waves. In general, the attractors may also contain multifrequency solitary waves; we give examples of systems which contain such solutions.

author list (cited authors)

  • Komech, A. I.

citation count

  • 5

publication date

  • January 2008