A note on the integrability of exceptional potentials via polynomial bi-homogeneous potentials

This paper is concerned with the polynomial integrability of the two-dimensional Hamiltonian systems associated to complex homogeneous polynomial potentials of degree k of type $V_{k,l}=\alpha (q_2-i q_1)^l (q_2+iq_1)^{k-l}$ with $\alpha$ in C and l=0,1,..., k, called exceptional potentials. Hieta...

Full description

Bibliographic Details
Main Authors: Primitivo B. Acosta-Humánez, Martha Álvarez-Ramírez, Teresinha J. Stuchi
Format: Article
Language:English
Published: Universidad Simón Bolívar 2021-09-01
Series:Bulletin of Computational Applied Mathematics
Subjects:
Online Access:https://drive.google.com/file/d/1AYwLSqZZsoPthwLrwOUdAUIsOSBNEf9X