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A general mechanism of diffusion in hamiltonian systems: qualitative results
(2019-01-01)
Article
Open AccessWe present a general mechanism to establish the existence of diffusing orbits in a large class of nearly integrable Hamiltonian systems. Our approach is based on following the “outer dynamics” along homoclinic orbits to a ... -
The uncoupling limit of identical Hopf bifurcations with an application to perceptual bistability
(2019-12-01)
Article
Open AccessWe study the dynamics arising when two identical oscillators are coupled near a Hopfbifurcation where we assume a parameter uncouples the system at = 0. Using anormal form forN= 2 identical systems undergoing Hopf bifurcation, ... -
Hopf-Zero singularities truly unfold chaos
(2020-05-01)
Article
Restricted access - publisher's policyWe provide conditions to guarantee the occurrence of Shilnikov bifurcations in analytic unfoldings of some Hopf-Zero singularities through a beyond all order phenomenon: the exponentially small breakdown of invariant ... -
Dynamics in a time-discrete food-chain model with strong pressure on preys
(2020-05-01)
Article
Restricted access - publisher's policyDiscrete-time dynamics, mainly arising in boreal and temperate ecosystems for species with non-overlapping generations, have been largely studied to understand the dynamical outcomes due to changes in relevant ecological ... -
A geometric approach to phase response curves and its numerical computation through the parameterization method
(2019-01-01)
Article
Open AccessThe 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 limit cycle. In this paper, we present a new ... -
Jet transport-based nonlinear state and parameter estimation for geostationary spacecraft
(2019-11-01)
Article
Restricted access - publisher's policyBased on the jet transport technique, this paper proposes a novel nonlinear Kalman filter for simultaneously estimating the spacecraft state vector and uncertain parameters, either physically related with the spacecraft ... -
High-fidelity trajectory design to flyby near-Earth asteroids using Cubesats
(2019-09-02)
Article
Restricted access - publisher's policyFast development of CubeSat technology now enables the first interplanetary missions. The potential application of CubeSats to flyby near-Earth asteroids is explored in this paper in consideration of CubeSats' limited ... -
Dinàmica de varietats espacials: les autopistes de l’univers
(2019-12-20)
Article
Open AccessEn aquest article volem il.lustrar com la comprensió de la dinàmica d’alguns models de la mecànica celeste permet explicar alguns fenòmens astronòmics i dissenyar missions realistes a l’espai. El model paradigmàtic usat ... -
Phase-amplitude dynamics in terms of extended response functions: invariant curves and arnold tongues
(2019)
Article
Open AccessPhase response curves (PRCs) have been extensively used to control the phase of oscillators under perturbations. Their main advantage is the reduction of the whole model dynamics to a single variable (phase) dynamics. ... -
Dynamics of solar radiation pressure-assisted maneuvers between lissajous orbits
(2019-04-01)
Article
Open AccessThe analysis of the phase space geometry around the artificial L1,2 equilibrium points of the circular restricted three-body problem, including solar radiation pressure, is used to investigate “propellant-free” transfers ... -
Asymptotic density of collision orbits in the restricted circular planar 3 body problem
(2019-03-12)
Article
Open AccessFor the Restricted Circular Planar 3 Body Problem, we show that there exists an open set U in phase space of fixed measure, where the set of initial points which lead to collision is O(µ120) dense as µ¿0 . -
Breakdown of a 2D heteroclinic connection in the Hopf-zero singularity (II): The generic case
(2018-04-17)
Article
Open AccessIn this paper, we prove the breakdown of the two-dimensional stable and unstable manifolds associated to two saddle-focus points which appear in the unfoldings of the Hopf-zero singularity. The method consists in obtaining ...
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