Manuele Santoprete

activity

19992026

most citedConvex Four Body Central Configurations with Some Equal Masses

50 citations · 572 across the 42 of their papers we have counts for

collaborators

Showing 2014 · math-phShow all

3 papers · 2 filters

math-ph2014★ 12 cited

Bifurcations of Central Configurations in the Four-Body Problem with some equal masses

David Rusu, Manuele Santoprete

We study the bifurcations of central configurations of the Newtonian four-body problem when some of the masses are equal. First, we continue numerically the solutions for the equal…

math-ph2014★ 8 cited

Symmetric Relative Equilibria in the Four-Vortex Problem with Three Equal Vorticities

Ernesto Perez-Chavela, Manuele Santoprete, Claudia Tamayo

We examine in detail the relative equilibria of the 4-vortex problem when three vortices have equal strength, that is, $Γ_{1} = Γ_{2} = Γ_{3} = 1$ , and $Γ_{4}$ is a real parameter.…

math-ph2014★ 5 cited

Canonoid and Poissonoid Transformations, Symmetries and BiHamiltonian Structures

Giovanni Rastelli, Manuele Santoprete

We give a characterization of linear canonoid transformations on symplectic manifolds and we use it to generate biHamiltonian structures for some mechanical systems. Utilizing this…