La seva activitat de recerca està dirigida al desenvolupament de mètodes analítics i numèrics per sistemes dinàmics, gaudint de lideratge científic en diversos temes, com la integrabilitat, els objectes invariants, la teoria K.A.M. (Kolmogorov-Arnold-Moser), els camps vectorials plans i les aplicacions a neurociència, mètode de Poincaré-Melnikov, escissió exponencialment petita de separatrius, difusió, mecànica celest i astrodinàmica.
La qualitat d'aquesta activitat es reflecteix tant en la qualitat i quantitat de publicacions, algunes d'elles en col·laboració amb grups internacionals de primera línia, com en la gestió científica desenvolupada, plasmada en l'organització de múltiples esdeveniments (congressos i jornades , programes de recerca, xarxes temàtiques, etc.), la participació en diversos comitès editorials de revistes de prestigi reconegut, així com en una àmplia formació doctoral.

Su actividad de investigación está dirigida al desarrollo de métodos analíticos y numéricos para sistemas dinámicos, disfrutando de liderazgo científico en diversos temas, como la integrabilidad, los objetos invariantes, la teoría K.A.M. (Kolmogorov-Arnold-Moser), los campos vectoriales planos y las aplicaciones a neurociencia, método de Poincaré-Melnikov, escisión exponencialmente pequeña de separatrices, difusión, mecánica celeste y astrodinámica.
La calidad de esta actividad se refleja tanto en la calidad y cantidad de publicaciones, algunas de ellas en colaboración con grupos internacionales de primera línea, como en la gestión científica desarrollada, plasmada en la organización de múltiples eventos (congresos y jornadas, programas de investigación, redes temáticas, etc.), la participación en diversos comités editoriales de revistas de prestigio reconocido, así como en una amplia formación doctoral.

The UPC dynamical systems group is composed by 20 full time doctors and 3 predocs.

Its research activity is addressed to the development of analytical and numerical methods
for dynamical systems, holding a scientific leading position in several subjects, namely integrability,
invariant objects, KAM theory, planar vector fields and applications to neuroscience, Poincaré-Melnikov
method, exponentially small splitting of separatrices, non-smooth systems, celestial mechanics and astrodynamics.

The quality of this activity is reflected in the quantity and quality of the publications, some of them in
collaboration with cutting edge international research groups as well as in scientific management, leading
to the organization of several events (conferences and meetings, research programs, themed networks, etc),
the participation in several editorial boards of highly regarded journals and a large number of doctoral students.

The UPC dynamical systems group is composed by 20 full time doctors and 3 predocs.

Its research activity is addressed to the development of analytical and numerical methods
for dynamical systems, holding a scientific leading position in several subjects, namely integrability,
invariant objects, KAM theory, planar vector fields and applications to neuroscience, Poincaré-Melnikov
method, exponentially small splitting of separatrices, non-smooth systems, celestial mechanics and astrodynamics.

The quality of this activity is reflected in the quantity and quality of the publications, some of them in
collaboration with cutting edge international research groups as well as in scientific management, leading
to the organization of several events (conferences and meetings, research programs, themed networks, etc),
the participation in several editorial boards of highly regarded journals and a large number of doctoral students.

Recent Submissions

  • Critical velocity in kink-defect interaction models: rigorous results 

    Martínez-Seara Alonso, M. Teresa; Guàrdia Munarriz, Marcel; Gomide, Otávio M.L. (2020-01-01)
    Article
    Open Access
    In this work we study a model of interaction of kinks of the sine-Gordon equation with a weak defect. We obtain rigorous results concerning the so-called critical velocity derived in [7] by a geometric approach. More ...
  • Study of periodic orbits in periodic perturbations of planar reversible Filippov systems having a twofold cycle 

    Martínez-Seara Alonso, M. Teresa; Novaes, Douglas D.; Teixeira, Marco Antonio; Zeli, Iris O. (2020-01-01)
    Article
    Open Access
    We study the existence of periodic solutions in a class of planar Filippov systems obtained from non-autonomous periodic perturbations of reversible piecewise smooth differential systems. It is assumed that the unperturbed ...
  • A general mechanism of diffusion in hamiltonian systems: qualitative results 

    Gidea, Marian; Llave Canosa, Rafael de la; Martínez-Seara Alonso, M. Teresa (2019-01-01)
    Article
    Open Access
    We 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 

    Pérez Cervera, Alberto; Ashwin, Peter; Huguet Casades, Gemma; Rankin, James; Martínez-Seara Alonso, M. Teresa (2019-12-01)
    Article
    Open Access
    We 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 

    Baldomá Barraca, Inmaculada; Ibáñez Mesa, Santiago; Martínez-Seara Alonso, M. Teresa (2020-05-01)
    Article
    Restricted access - publisher's policy
    We 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 

    Lázaro Ochoa, José Tomás; Alsedà, Lluís; Vidiella, Blai; Solé Vicente, Ricard; Sardañés, Josep (2020-05-01)
    Article
    Restricted access - publisher's policy
    Discrete-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 

    Pérez Cervera, Alberto; Martínez-Seara Alonso, M. Teresa; Huguet Casades, Gemma (2019-01-01)
    Article
    Open Access
    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 limit cycle. In this paper, we present a new ...
  • Jet transport-based nonlinear state and parameter estimation for geostationary spacecraft 

    Chen, Jianlin; Masdemont Soler, Josep; Gómez Muntané, Gerard; Yuan, Jianping (2019-11-01)
    Article
    Restricted access - publisher's policy
    Based 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 ...
  • Relative dynamics of charged spacecraft in a magnetic field applied to formation flight 

    Cheng, Yu; Gómez Muntané, Gerard; Masdemont Soler, Josep; Qiao, Dong; Lian, Yijun (2020-01-01)
    Article
    Restricted access - publisher's policy
    We consider several charged spacecraft configurations around a leader spacecraft provided with an artificial magnetic field. In all configurations the nominal orbits are chosen to be about the relative equilibrium points ...
  • High-fidelity trajectory design to flyby near-Earth asteroids using Cubesats 

    Machuca, Pablo; Sánchez Cuartielles, Joan Pau; Masdemont Soler, Josep; Gómez Muntané, Gerard (2019-09-02)
    Article
    Restricted access - publisher's policy
    Fast 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 

    Ollé Torner, Mercè; Barrabés Vera, Esther (2019-12-20)
    Article
    Open Access
    En 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 ...
  • The geometry of station-keeping strategies around libration poin orbits 

    Farrés Basiana, Ariadna; Masdemont Soler, Josep; Gómez Muntané, Gerard; Webster, Cassandra; Folta, Dave C. (2019)
    Conference report
    Restricted access - publisher's policy
    This paper intends to give an insight on the geometry of stationkeeping strategies around Libration Point Orbits (LPO). Classically theFloquet modes have been used to determine the¿vrequired to control the trajectory of a ...

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