44 citations · 234 across the 29 of their papers we have counts for
3 papers · 1 filter
Hyperbolic dynamics and oscillatory motions in the 3 Body Problem
Marcel Guardia, Pau Martín, Jaime Paradela +1
Consider the planar 3 Body Problem with masses . In this paper we address two fundamental questions: the existence of oscillatory motions and of chaotic hyperbolic s…
Breakdown of heteroclinic connections in the analytic Hopf-Zero singularity: Rigorous computation of the Stokes constant
Inmaculada Baldomá, Maciej J. Capiński, Marcel Guardia +1
Consider analytic generic unfoldings of the three dimensional conservative Hopf-Zero singularity. Under open conditions on the parameters determining the singularity, the unfolding…
Arnold diffusion in a model of dissipative system
Samuel W. Akingbade, Marian Gidea, Tere M-Seara
For a mechanical system consisting of a rotator and a pendulum coupled via a small, time-periodic Hamiltonian perturbation, the Arnold diffusion problem asserts the existence of `d…