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math.DS2021
A note on the integrability of exceptional potentials via polynomial bi-homogeneous potentials
Primitivo B. Acosta-Humánez, Martha Álvarez-Ramírez, Teresinha J. Stuchi
This paper is concerned with the polynomial integrability of the two-dimensional Hamiltonian systems associated to complex homogeneous polynomial potentials of degree of type $…
math.DS2021★ 1 cited
Non-integrability of the axisymmetric Bianchi IX cosmological model via Differential Galois Theory
Primitivo Acosta-Humánez, Juan J. Morales-Ruiz, Teresinha J. Stuchi
We investigate the integrability of an anisotropic universe with matter and cosmological constant formulated as Bianchi IX models. The presence of the cosmological constant causes…