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math.DS2026
Reconstruction through a coisotropic reduction: the missing momentum on a Poincaré section as a branched covering
E. Chan-López
Determining the momentum missing on a Poincaré section of a two-degree-of-freedom Hamiltonian is usually posed as the root-finding problem , which degenerates a…
math.DS2026
Newton geometry of Bogdanov-Takens degeneracies in integrable dilatonic models: invariant divisors and boundary multiplicity
E. Chan-López, A. Martín-Ruiz, J. M. Paulin Fuentes
The Kantowski--Sachs interior of Grumiller's two-dimensional dilaton gravity model reduces to , , where is the expansion rate of the…
math.DS2026
The Bogdanov--Takens normal-form coefficients in as directional derivatives of the characteristic invariants
E. Chan-López
Let be a vector field on an open set of with and Jacobian of rank having as an eigenvalue of algebraic multiplicity two. Let s…