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20212024
most citedExact solution of a time-dependent quantum harmonic oscillator with two frequency jumps via the Lewis-Riesenfeld dynamical invariant method

13 citations · 45 across the 17 of their papers we have counts for

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math.DS2023

The period of the limit cycle bifurcating from a persistent polycycle

David Marín, Lucas Queiroz, Jordi Villadelprat

We consider smooth families of planar polynomial vector fields , where is an open subset of , for which there is a hyperbolic polycycle that…

math.DS2021★ 4 cited

Analytic Nilpotent Centers on Center Manifolds

Claudio Pessoa, Lucas Queiroz

Consider analytical three-dimensional differential systems having a singular point at the origin such that its linear part is for some . The res…

math.DS2021

Nilpotent Centers in

Lucas Queiroz, Claudio Pessoa

Consider analytical three-dimensional differential systems having a singular point at the origin such that its linear part is for some . The res…

math.DS2021

Monodromic nilpotent singular points with odd Andreev number and the center problem

Claudio Pessoa, Lucas Queiroz

Given a nilpotent singular point of a planar vector field, its monodromy is associated with its Andreev number . The parity of determines whether the existence of an inverse…