1 citations · 1 across the 6 of their papers we have counts for
6 papers
Morse Index, Stability and Spectral Bounds for Periodic Orbits in Reversible Lagrangian Systems
Alessandro Portaluri, Li Wu
We prove quantitative stability and instability estimates for reversible periodic solutions of strictly Legendre-convex Lagrangian systems. If the configuration dimension is , t…
Index theory for singular Lagrangian systems and Bessel-type differential operators
Xijun Hu, Alessandro Portaluri, Li Wu
The aim of the present manuscript is to develop an index theory for singular Lagrangian systems, with a particular focus on the important class of singular operators given by Besse…
Index theory for non-compact quantum graphs
Daniele Garrisi, Alessandro Portaluri, Li Wu
We develop an index theory for variational problems on noncompact quantum graphs. The main results are a spectral flow formula, relating the net change of eigenvalues to the Maslov…
The fibered rotation number for ergodic symplectic cocycles and its applications: I. Gap Labelling Theorem
Xianzhe Li, Li Wu
Let be an ergodic topological dynamical system. The fibered rotation number for cocycles in , acting on $ Θ\times \mathbb{R}\mathbb…
A formula of local Maslov index and applications
Li Wu, Chaofeng Zhu
In this paper, we explicitly express the local Maslov index by a Maslov index in finite dimensional case without symplectic reduction. Then we calculate the Maslov index for the pa…
Non-minimality and instability of brake orbits for natural Lagrangians on Riemannian manifolds
Luca Asselle, Xijun Hu, Alessandro Portaluri +1
We investigate minimality and stability of periodic brake orbits in natural Lagrangian systems on smooth Riemannian manifolds. We prove that every non-constant periodic brake orbit…