45 citations · 53 across the 6 of their papers we have counts for
9 papers
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…
Remarks on criticality and crisis in pure exchange economies
Jacobo Pejsachowicz
In the framework of the theory of Equilibrium Manifold of a Pure Exchange Economy, introduced by Balasko, we give a rigorous definition of a crisis transition and establish some in…
Bifurcation of critical points for continuous families of C^2 functionals of Fredholm type
Jacobo Pejsachowicz, Nils Waterstraat
Given a continuous family of C^2 functionals of Fredholm type, we show that the non-vanishing of the spectral flow for the family of Hessians along a known (trivial) branch of crit…
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…
Topology and Homoclinic Trajectories of Discrete Dynamical Systems
Jacobo Pejsachowicz, Robert Skiba
We show that nontrivial homoclinic trajectories of a family of discrete, nonautonomous, asymptotically hyperbolic systems parametrized by a circle bifurcate from a stationary solut…
The family index theorem and bifurcation of solutions of nonlinear elliptic bvp
Jacobo Pejsachowicz
We obtain some new bifurcation criteria for solutions of general boundary value problems for nonlinear elliptic systems of partial differential equations. The results are of differ…
Bifurcation of Fredholm Maps II; The Dimension of the Set of Bifurcation Points
Jacobo Pejsachowicz
We obtain an estimate for the covering dimension of the set of bifurcation points for solutions of nonlinear elliptic boundary value problems from the principal symbol of the linea…
Bifurcation of Fredholm Maps I; The Index Bundle and Bifurcation
Jacobo Pejsachowicz
We associate to a parametrized family of nonlinear Fredholm maps possessing a trivial branch of zeroes an {\it index of bifurcation} which provides an algebraic measure…
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-…