27 citations · 27 across the 3 of their papers we have counts for
3 papers
A mathematical model for voice leading and its complexity
Mattia G. Bergomi, Riccardo D. Jadanza, Alessandro Portaluri
We give a formal definition of the musical concept of voice leading in mathematical terms, based on the idea of partial permutations of certain ordered multisets. Then we associate…
Morse index and linear stability of the Lagrangian circular orbit in a three-body-type problem via index theory
Vivina Barutello, Riccardo D. Jadanza, Alessandro Portaluri
It is well known that the linear stability of the Lagrangian elliptic solutions in the classical planar three-body problem depends on a mass parameter and on the eccentricity $…
Linear instability of relative equilibria for -body problems in the plane
Vivina Barutello, Riccardo D. Jadanza, Alessandro Portaluri
Following Smale, we study simple symmetric mechanical systems of point particles in the plane. In particular, we address the question of the linear and spectral stability prope…