7 citations · 10 across the 3 of their papers we have counts for
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Linear instability of periodic orbits of free period Lagrangian systems
Alessandro Portaluri, Li Wu, Ran Yang
In this paper we provide a sufficient condition for the linear instability of a periodic orbit for a free period Lagrangian system on a Riemannian manifold. The main result establi…
Linear instability for periodic orbits of non-autonomous Lagrangian systems
Alessandro Portaluri, Li Wu, Ran Yang
Inspired by the classical Poincaré criterion about the instability of orientation preserving minimizing closed geodesics on surfaces, we investigate the relation intertwining the i…
Morse Index Theorem of Lagrangian Systems and Stability of Brake Orbit
Xijun Hu, Li Wu, Ran Yang
In this paper, we prove Morse index theorem of Lagrangian system with any self-adjoint boundary conditions. Based on it, we give some nontrivial estimation on the difference of Mor…
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…