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math.DS2018
On the existence of homoclinic type solutions of a class of inhomogenous second order Hamiltonian systems
Jakub Ciesielski, Joanna Janczewska, Nils Waterstraat
We show the existence of homoclinic type solutions of second order Hamiltonian systems with a potential satisfying a relaxed superquadratic growth condition and a forcing term that…
math.DS2018
The Maslov Index and the Spectral Flow - revisited
Marek Izydorek, Joanna Janczewska, Nils Waterstraat
We give an elementary proof of a celebrated theorem of Cappell, Lee and Miller which relates the Maslov index of a pair of paths of Lagrangian subspaces to the spectral flow of an…