4 papers
A Note on Singular Boundary Regularisation in Hamiltonian Systems
Cristina Stoica
Singular changes of variables in Hamiltonian systems, such as McGehee coordinates in celestial mechanics or renormalised variables in dispersive PDE blow-up, are designed to extend…
Continuation of Hamiltonian dynamics from the plane to constant-curvature surfaces
Cristina Stoica
We investigate the deformation of symmetry on cotangent bundles from the Euclidean plane to two-dimensional constant-curvature surfaces and the continuation of local dynamics aspec…
Stability of the regular -gon rotating equilibria with logarithm interaction
Anna-Monika Muscas, Daniel Pasca, Cristina Stoica
We study the linear stability of regular -gon rotating equilibria in the -body problem with logarithm interaction. In the presence of a central mass , linear stability is…
Block regularisation of the logarithm central problem
Archishman Saha, Cristina Stoica
The logarithm function is the gravitational potential in . We prove that the logarithm central force problem is block regularizable, that is, the (incomplete) flow ma…