22 citations · 65 across the 30 of their papers we have counts for
4 papers · 1 filter
The -cohomological Conley Index, Cup-Lengths and the Arnold Conjecture on
Maciej Starostka, Nils Waterstraat
We give a new proof of the strong Arnold conjecture for -periodic solutions of Hamiltonian systems on tori, that was first shown by C. Conley and E. Zehnder in 1983. Our proof u…
Not every conjugate point of a semi-Riemannian geodesic is a bifurcation point
Giacomo Marchesi, Alessandro Portaluri, Nils Waterstraat
We revisit an example of a semi-Riemannian geodesic that was discussed by Musso, Pejsachowicz and Portaluri in 2007 to show that not every conjugate point is a bifurcation point. W…
On the existence of homoclinic type solutions of inhomogenous Lagrangian systems
Jakub Ciesielski, Joanna Janczewska, Nils Waterstraat
We study the existence of homoclinic type solutions for second order Lagrangian systems of the type , where , $q\in\mathbb…
Bifurcation of equilibrium forms of an elastic rod on a two-parameter Winkler foundation
Marek Izydorek, Joanna Janczewska, Nils Waterstraat +1
We consider two-parameter bifurcation of equilibrium states of an elastic rod on a deformable foundation. Our main theorem shows that bifurcation occurs if and only if the lineariz…