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math.DS2026
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…
math.DS2024
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…