32 citations · 94 across the 28 of their papers we have counts for
5 papers · 2 filters
A dihedral Bott-type iteration formula and stability of symmetric periodic orbits
Xijun Hu, Alessandro Portaluri, Ran Yang
In 1956, Bott in his celebrated paper on closed geodesics and Sturm intersection theory, proved an Index Iteration Formula for closed geodesics on Riemannian manifolds. Some years…
Index Theory for Zero Energy Solutions of the Planar Anisotropic Kepler Problem
Xijun Hu, Guowei Yu
In the variational study of singular Lagrange systems, the zero energy solutions play an important role. In this paper we find a simple way of computing the Morse indices of these…
An Index theory for asymptotic motions under singular potentials
Vivina L. Barutello, Xijun Hu, Alessandro Portaluri +1
We develop an index theory for parabolic and collision solutions to the classical n-body problem and we prove sufficient conditions for the finiteness of the spectral index valid i…
Bifurcation of heteroclinic orbits via an index theory
Xijun Hu, Alessandro Portaluri
Heteroclinic orbits for one-parameter families of nonautonomous vectorfields appear in a very natural way in many physical applications. Inspired by some recent bifurcation results…
Index theory for heteroclinic orbits of Hamiltonian systems
Xijun Hu, Alessandro Portaluri
Index theory revealed its outstanding role in the study of periodic orbits of Hamiltonian systems and the dynamical consequences of this theory are enormous. Although the index the…