3 papers
math.DS2021
Oscillatory Motions and Parabolic Manifolds at Infinity in the Planar Circular Restricted Three Body Problem
Maciej J. Capiński, Marcel Guardia, Pau Martín +2
Consider the Restricted Planar Circular 3 Body Problem with both realistic mass ratio and Jacobi constant for the Sun-Jupiter pair. We prove the existence of all possible combinati…
math.DS2020
Global phase-amplitude description of oscillatory dynamics via the parameterization method
Alberto Pérez-Cervera, Tere M. Seara, Gemma Huguet
In this paper we use the parameterization method to provide a complete description of the dynamics of an -dimensional oscillator beyond the classical phase reduction. The parame…
math.DS2018
A geometric approach to Phase Response Curves and its numerical computation through the parameterization method
Alberto Pérez-Cervera, Tere M. Seara, Gemma Huguet
The Phase Response Curve (PRC) is a tool used in neuroscience that measures the phase shift experienced by an oscillator due to a perturbation applied at different phases of the li…