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math.SG2021★ 1 cited
Cuplength estimates for periodic solutions of Hamiltonian particle-field systems
Oliver Fabert, Niek Lamoree
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 scala…
math.SG2021
Floer homology for Hamiltonian PDEs: Fredholm theory
Oliver Fabert, Niek Lamoree
By coupling a Hamiltonian mechanical system with a linear Hamiltonian field theory one obtains an infinite-dimensional Hamiltonian system with regularizing nonlinearity, where the…