SD - Sistemes Dinàmics de la UPC

 

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

  • Local generic behavior of a planar Filippov system with non-smooth switching curve 

    Fernandes Larrosa, Juliana; Martínez-Seara Alonso, M. Teresa; Teixeira, Marco Antonio (Springer Nature, 2021-10-18)
    Article
    Restricted access - publisher's policy
    This paper discusses the generic local classification of typical singularities of 2D piecewise smooth vector fields when the switching set is an non smooth curve. The main goal is to obtain classification results concerning ...

  • Type III excitability, slope sensitivity and coincidence detection 

    Meng, Xiangying; Huguet Casades, Gemma; Rinzel, John (American Institute of Mathematical Sciences, 2012-08-01)
    Article
    Open Access
    Some neurons in the nervous system do not show repetitive firing for steady currents. For time-varying inputs, they fire once if the input rise is fast enough. This property of phasic firing is known as Type III excitability. ...

  • Ejection–collision orbits in two degrees of freedom problems in celestial mechanics 

    Alvarez Ramírez, Martha; Barrabés Vera, Esther; Medina, M.; Ollé Torner, Mercè (Springer Nature, 2021-08-01)
    Article
    Restricted access - publisher's policy
    In a general setting of a Hamiltonian system with two degrees of freedom and assuming some properties for the undergoing potential, we study the dynamics close and tending to a singularity of the system which in models of ...

  • An efficient statistical adaptive order-switching methodology for kalman filters 

    Chen, Jianlin; Masdemont Soler, Josep; Gómez Muntané, Gerard; Jianping, Yuan (2021-02)
    Article
    Restricted access - publisher's policy
    Variants and improvements of the extended Kalman filter (EKF) always encounter a dilemma between the estimation accuracy delivered and the computational burden associated. Targeting to improve this shortcoming, achieving ...

  • Chaotic-like transfers of energy in hamiltonian PDEs 

    Giuliani, Filippo; Guàrdia Munarriz, Marcel; Martín de la Torre, Pablo; Pasquali, Stefano (Springer Nature, 2021-01-01)
    Article
    Open Access
    We consider the nonlinear cubic Wave, the Hartree and the nonlinear cubic Beam equations on T2 and we prove the existence of different types of solutions which exchange energy between Fourier modes in certain time scales. ...

  • Synthetic criticality in cellular brains 

    Solé Vicente, Ricard; Conde Pueyo, Núria; Guillamon Grabolosa, Antoni; Maull Miquel, Víctor; Pla Mauri, Jordi; Sardanyes Cayuela, Josep; Vidiella Rocamora, Blai (2021-12-01)
    Article
    Open Access
    Cognitive networks have evolved to cope with uncertain environments in order to make reliable decisions. Such decision making circuits need to respond to the external world in efficient and flexible ways, and one potentially ...

  • Factors related to inhibition of lactation by pharmacological means at birth in a Spanish referral hospital (2011-2017) Factores relacionados con la inhibición de la lactancia por medios farmacológicos al nacer en un hospital de referencia español (2011-2017) 

    Llupià, Anna; Torá Rocamora, Isabel; Lladó, Alba; Cobo, Teresa; Sotoca, Josep Miquel; Puig Sadurní, Joaquim (Elsevier, 2021-01-01)
    Article
    Open Access
    Objective To describe the maternal, neonatal and pregnancy characteristics related to inhibition of lactation (IL) with cabergoline. Method We assessed 20,965 occasions of breastfeeding initiation, according to data collected ...

  • Invariant algebraic surfaces of polynomial vector fields in dimension three 

    Kruff, Niclas; Llibre Saló, Jaume; Pantazi, Chara; Walcher, Sebastian (Springer, 2021-01-01)
    Article
    Open Access
    We discuss criteria for the nonexistence, existence and computation of invariant algebraic surfaces for three-dimensional complex polynomial vector fields, thus transferring a classical problem of Poincaré from dimension ...

  • Global analysis of direct transfers from lunar orbits to sun-earth libration point regimes 

    Masdemont Soler, Josep; Gómez Muntané, Gerard; Peng, Hao (Springer Nature, 2021-04-01)
    Article
    Open Access
    In this paper we look forward to obtain a global picture of simple transfer opportunities from Lunar to Sun-Earth libration orbits, useful for a preliminary design of these mission scenarios. Considering the trajectory of ...

  • Continuous and discrete neumann systems on stiefel varieties as matrix generalizations of the jacobi-mumford systems 

    Fedorov, Yuri; Jovanovic, Božidar (2021-06-01)
    Article
    Restricted access - publisher's policy
    We study geometric and algebraic geometric properties of the continuous and discrete Neumann systems on cotangent bundles of Stiefel varieties Vn,r. The systems are integrable in the non-commutative sense, and by applying ...

  • Critical slowing down close to a global bifurcation of a curve of quasi-neutral equilibria 

    Fontich Julia, Ernest; Guillamon Grabolosa, Antoni; Lázaro Ochoa, José Tomás; Alarcón, Tomás; Vidiella, Blai; Sardanyes, Josep (2022-01)
    Article
    Restricted access - publisher's policy
    Critical slowing down arises close to bifurcations and involves long transients. Despite slowing down phenomena have been widely studied in local bifurcations i.e., bifurcations of equilibrium points, less is known about ...

  • Convexity and symmetry of central configurations in the five-body problem: Lagrange plus two 

    Barrabés Vera, Esther; Cors Iglesias, Josep Maria; Fernandes, Antonio Carlos; Vidal Díaz, Claudio (2021-07-10)
    Article
    Restricted access - publisher's policy
    We study convexity and symmetry of central configurations in the five body problem when three of the masses ara located at the vertices of an equilateral triangle, that we call Lagrange plus two central configurations. ...

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