44 citations · 234 across the 29 of their papers we have counts for
29 papers
Oscillatory motions, parabolic orbits and collision orbits in the planar circular restricted three-body problem
Marcel Guardia, José Lamas, Tere M. Seara
In this paper we consider the planar circular restricted three body problem (PCRTBP), which models the motion of a massless body under the attraction of other two bodies, the prima…
Traveling waves in a model for cortical spreading depolarization with slow-fast dynamics
David Reyner-Parra, Carles Bonet, Teresa M. Seara +1
Cortical spreading depression and spreading depolarization (CSD) are waves of neuronal depolarization that spread across the cortex, leading to a temporary saturation of brain acti…
A degenerate Arnold diffusion mechanism in the Restricted 3 Body Problem
Marcel Guardia, Jaime Paradela, Tere M. Seara
A major question in dynamical systems is to understand the mechanisms driving global instability in the 3 Body Problem (3BP), which models the motion of three bodies under Newtonia…
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…