3 papers
quant-ph2022
Energy levels for -symmetric deformation of the Mathieu equation
E. Cavalcanti, N. M. Alvarenga, F. Reis +3
We propose a non-Hermitian deformation of the Mathieu equation that preserves symmetry and study its spectrum and the transition from -unbroken to $\ma…
math.DS2019
On the integrability of Hill's equation of the motion of the moon
Fernando Reis, Bruno Scárdua
We study under the standpoint of integrable complex analytic 1-forms (complex analytic foliations), a class of second order ordinary differential equations with periodic coefficien…
math.DS2018
On first integrals admitting asymptotic expansion for holomorphic foliations in dimension two
F. Reis
In this paper we study the dynamics of a holomorphic vector field near a singular point in dimension two using asymptotic expansion techniques. We consider a holomorphic vector fie…