Corpus ID: 235765360

Cuplength estimates for periodic solutions of Hamiltonian particle-field systems

@inproceedings{Fabert2021CuplengthEF,
  title={Cuplength estimates for periodic solutions of Hamiltonian particle-field systems},
  author={O. Fabert and N. Lamoree},
  year={2021}
}
We consider a natural class of time-periodic infinite-dimensional nonlinear Hamiltonian systems modelling the interaction of a classical mechanical system of particles with a scalar wave field. When the field is defined on a space torus T = R /(2π Z) and the coordinates of the particles are constrained to a submanifold Q ⊂ T, we prove that the number of T -periodic solutions of the coupled Hamiltonian particle-field system is bounded from below by the Z2-cuplength of the space ΛQ of… Expand
2 Citations
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