D. Ferrario

activity

20022020

most citedOn the Existence of Collisionless Equivariant Minimizers for the Classical n-body Problem

145 citations · 192 across the 16 of their papers we have counts for

collaborators

16 papers

math.DS2020

Fixed points and the inverse problem for central configurations

D. L. Ferrario

Central configurations play an important role in the dynamics of the $n$ -body problem: they occur as relative equilibria and as asymptotic configurations in colliding trajectories.…

math.DS2016

Central configurations, Morse and fixed point indices

D. L. Ferrario

We compute the fixed point index of non-degenerate central configurations for the $n$ -body problem in the euclidean space of dimension $d$ , relating it to the Morse index of the gr…

math.DS2016★ 7 cited

Central Configurations and Mutual Differences

D. L. Ferrario

Central configurations are solutions of the equations $λ m_{j} q_{j} = \frac{\partial U}{\partial q _{j}}$ , where $U$ denotes the potential function and each $\bol…

math.AT2014

Fixed point indices of central configurations

Davide L. Ferrario

Central configurations of $n$ point particles in $E \approx R^{d}$ with respect to a potential function $U$ are shown to be the same as the fixed points of the normalized gra…

math.DS2011

Dynamics of the the dihedral four-body problem

Davide L. Ferrario, Alessandro Portaluri

Consider four point particles with equal masses in the euclidean space, subject to the following symmetry constraint: at each instant they are symmetric with respect to the dihedra…

math.DS2007★ 21 cited

On the dihedral n-body problem

Davide L. Ferrario, Alessandro Portaluri

Consider n=2l>=4 point particles with equal masses in space, subject to the following symmetry constraint: at each instant they form an orbit of the dihedral group D_l, where D_l i…