3 papers
math.AP2024
Spectral flow and variational bifurcation
J. Pejsachowicz
We show that the principle "nonvanishing of spectral flow of the linearization along the trivial branch entails bifurcation of nontrivial solutions ", proved in \cite{FPR} for crit…
math.DS2012
Global bifurcation of homoclinic trajectories of discrete dynamical systems
Jacobo Pejsachowicz, Robert Skiba
We prove the existence of an unbounded connected branch of nontrivial homoclinic trajectories of a family of discrete nonautonomous asymptotically hyperbolic systems parametrized b…
math.DG2003
A Morse Index Theorem and bifurcation for perturbed geodesics on Semi-Riemannian Manifolds
Monica Musso, Jacobo Pejsachowicz, Alessandro Portaluri
Perturbed geodesics are trajectories of particles moving on a semi-Riemannian manifold in the presence of a potential. Our purpose here is to extend to perturbed geodesics on semi-…