Recent Submissions

  • Phase-locked states in oscillating neural networks and their role in neural communication 

    Pérez Cervera, Alberto; Martínez-Seara Alonso, M. Teresa; Huguet Casades, Gemma (2020-01-01)
    Article
    Open Access
    The theory of communication through coherence (CTC) proposes that brain oscillations reflect changes in the excitability of neurons, and therefore the successful communication between two oscillating neural populations ...
  • Three-dimensional Lotka–Volterra systems with 3:-1:2-resonance 

    Aziz, Waleed; Christopher, Colin; Llibre Saló, Jaume; Pantazi, Chara (2021-08)
    Article
    Open Access
    We study the local integrability at the origin of a nine-parameter family of three-dimensional Lotka–Volterra differential systems with (3:- 1:2)-resonance. We give necessary and sufficient conditions on the parameters of ...
  • Global phase-amplitude description of oscillatory dynamics via the parameterization method 

    Pérez Cervera, Alberto; Martínez-Seara Alonso, M. Teresa; Huguet Casades, Gemma (Institute of Physics (IOP), 2020-08-01)
    Article
    Open Access
    In this paper, we use the parameterization method to provide a complete description of the dynamics of an n-dimensional oscillator beyond the classical phase reduction. The parameterization method allows us, via efficient ...
  • Analytical and numerical results on families of n-ejection-collision orbits in the RTBP 

    Ollé Torner, Mercè; Rodríguez del Río, Óscar; Soler Villanueva, Jaume (2020-11-01)
    Article
    Restricted access - publisher's policy
    In the planar RTBP with mass ratio µ we regularise the singularity at one of the primaries by means of Levi-Civita’s transformation in a rotating frame. We solve the variational equations in a neighbourhood of the ...
  • Change in gap perception within current practices in assessing students learning mathematics 

    Cellmer, Anna; Serrat Piè, Carles; Bruguera Padró, Maria Montserrat; Pantazi, Chara; Estela Carbonell, M. Rosa; Bocanet, Vlad I.; Brown, Ken; Uukkivi, Anne; Soares, Filomena; Feniser, Cristina; Serdean, Florina M.; Safiulina, Elena; Kelly, Gerald; Cymerman, Joanna; Kierkosz, Igor; Volodymyr, Sushch; Latõnina, Marina; Labanova, Oksana; Lopes, Ana Paula (2021-04-17)
    Article
    Open Access
    The COVID pandemic has touched many aspects of everyone’s life. Education is one of the fields greatly affected by it, as students and teachers were forced to move online and quickly adapt to the online environment. ...
  • Integrability and linearizability of a family of three-dimensional quadratic systems 

    Pantazi, Chara; Amen, Azad; Aziz, Waleed (2021-01-01)
    Article
    Open Access
    We consider a three-dimensional vector field with quadratic nonlinearities and in general none of the axis plane is invariant. For our investigation, we are interesting in the case of (1:-2:1) – resonance at the origin. ...
  • Oscillatory orbits in the restricted planar four body problem 

    Martínez-Seara Alonso, M. Teresa; Zhang, Jianlu (2020-12-01)
    Article
    Restricted access - publisher's policy
    The restricted planar four body problem describes the motion of a massless bodyunder the Newtonian gravitational force of other three bodies (the primaries), of which themotion gives us general solutions of the three body ...
  • A general mechanism of instability in Hamiltonian systems: skipping along a normally hyperbolic invariant manifold 

    Gidea, Marian; Llave Canosa, Rafael de la; Martínez-Seara Alonso, M. Teresa (2020)
    Article
    Restricted access - publisher's policy
    We describe a recent method to show instability in Hamiltonian systems. The main hypothesis of the method is that some explicit transversality conditions – which can be verified in concrete systems by finite calculations ...
  • Modeling the long term effects of thermoregulation on human sleep 

    Bañuelos, Selenne; Best, Janet; Huguet Casades, Gemma; Prieto-Langarica, Alicia; Pyzza, Pamela; Wilson, Shelby (2020-05-21)
    Article
    Open Access
    The connection between human sleep and energy exertion has long been regarded as part of the reasoning for the need to sleep. A recent theory proposes that during REM sleep, energy utilized for thermoregulation is diverted ...
  • Analysis of jet transport-based geostationary trajectory uncertainty propagation 

    Chen, Jianlin; Masdemont Soler, Josep; Gerard, Gómez; Jianping, Yuan (2020-03-31)
    Article
    Open Access
  • A picture of solar-sail heteroclinic enhanced connections between Lissajous libration point orbits 

    Duan, Xun; Gerard, Gomez; Masdemont Soler, Josep; Yue, Xiaokui (2020-03-09)
    Article
    Restricted access - publisher's policy
    The dynamics of solar-sail maneuvers are conceptually different from classical control maneuvers where one considers impulsive changes in the velocity of a spacecraft. Solar-sail orbits are continuous in both position and ...
  • Rotation–translation coupling analysis on perturbed spacecraft relative translational motion 

    Chen, Jianlin; Masdemont Soler, Josep; Gómez Muntané, Gerard; Yuan, Jianping (2020-10-17)
    Article
    Restricted access - publisher's policy
    This paper explores an accurate and complete spacecraft six-degree-of-freedom coupled relative motion model using the dual quaternion representation. Based on this technique, we build a scheme capable of describing both ...

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