45 citations · 133 across the 45 of their papers we have counts for
3 papers · 2 filters
Keplerian orbits through the Conley-Zehnder index
Henry Kavle, Daniel Offin, Alessandro Portaluri
It was discovered by Gordon in 1977 that Keplerian ellipses in the plane are minimizers of the Lagrangian action and spectrally stable as periodic points of the associated Hamilton…
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 and stability of the planar N-vortex problem
Xijun Hu, Alessandro Portaluri, Qin Xing
This paper concerns the investigation of the stability properties of relative equilibria which are rigidly rotating vortex configurations sometimes called vortex crystals, in the N…