276 citations · 709 across the 11 of their papers we have counts for
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math.DS2018
Effective bounds for the measure of rotations
Jordi-Lluís Figueras, Alex Haro, Alejandro Luque
A fundamental question in Dynamical Systems is to identify regions of phase/parameter space satisfying a given property (stability, linearization, etc). Given a family of analytic…
math.DS2018
Stationary phase methods and the splitting of separatrices
Alberto Enciso, Alejandro Luque, Daniel Peralta-Salas
Using stationary phase methods, we provide an explicit formula for the Melnikov function of the one and a half degrees of freedom system given by a Hamiltonian system subject to a…