EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions

 

Integrar en un grup multidisciplinari la recerca feta a la Universitat en els camps d?equacions diferencials en derivades parcials i altres problemes de contorn de la física matemàtica, aspectes cohomològics i homotòpics de les varietats algebraiques, sistemes dinàmics i astrodinàmica, la teoria matemàtica de sistemes i les seves aplicacions a l'estudi de pertorbacions de sistemes lineals, i la modelització numèrica de tots aquests temes.

http://futur.upc.edu/EGSA

The group?s aim is to integrate, into a multidisciplinary group, the research carried out at the University in the fields of partial differential equations and other boundary problems in mathematical physics, cohomological and homotopical aspects of algebraic varieties, dynamic systems and astrodynamics, mathematical systems theory and its applications to the study of perturbations of linear systems, as well as the numerical modelling of all these topics.

http://futur.upc.edu/EGSA

The group?s aim is to integrate, into a multidisciplinary group, the research carried out at the University in the fields of partial differential equations and other boundary problems in mathematical physics, cohomological and homotopical aspects of algebraic varieties, dynamic systems and astrodynamics, mathematical systems theory and its applications to the study of perturbations of linear systems, as well as the numerical modelling of all these topics.

http://futur.upc.edu/EGSA

Recent Submissions

  • A numerical method for computing initial conditions of Lagrangian invariant tori using the frequency map 

    Villanueva Castelltort, Jordi; Luque Jiménez, Alejandro (2016-06-15)
    Article
    Open Access
    We present a numerical method for computing initial conditions of Lagrangian quasi-periodic invariant tori of Hamiltonian systems and symplectic maps. Such initial conditions are found by solving, using the Newton method, ...

  • Traveling wave solutions in a half-space for boundary reactions 

    Cabré Vilagut, Xavier; Consul Porras, M. Nieves; Mande Nieto, José Vicente (2015-01-01)
    Article
    Open Access
    We prove the existence and uniqueness of a traveling front and of its speed for the homogeneous heat equation in the half-plane with a Neumann boundary reaction term of unbalanced bistable type or of combustion type. We ...

  • A note on symplectic and Poisson linearization of semisimple Lie algebra actions 

    Miranda Galcerán, Eva (2015-03)
    External research report
    Open Access
    In this note we prove that an analytic symplectic action of a semisimple Lie algebra can be locally linearized in Darboux coordinates. This result yields simultaneous analytic linearization for Hamiltonian vector fields ...

  • Generic bifurcations of low codimension of planar Filippov Systems 

    Martínez-Seara Alonso, M. Teresa; Guàrdia Munarriz, Marcel; Teixeira, Marco Antonio (2011-02)
    Article
    Restricted access - publisher's policy
    In this article some qualitative and geometric aspects of non-smooth dynamical systems theory are discussed. The main aim of this article is to develop a systematic method for studying local(and global) bifurcations in ...

  • A distributed attitude control law for formation flying based on the Cucker-smale model 

    Paita, Fabrizio; Gómez Muntané, Gerard; Masdemont Soler, Josep (2014)
    Conference report
    Open Access
    In this paper we consider the attitude synchronization problem for a swarm of spacecrafts flying in formation. Starting from previous works on consensus dynamics, we construct a distributed attitude control law and derive ...

  • Matrices positivas y aplicaciones 

    García Planas, María Isabel (Maria Isabel Garcia Planas, 2008-09-01)
    Book
    Open Access

  • Credit risk contributions under the Vasicek one-factor model: a fast wavelet expansion approximation 

    Masdemont Soler, Josep; Ortiz-Gracia, Luis (2014-06)
    Article
    Open Access
    To measure the contribution of individual transactions inside the total risk of a credit portfolio is a major issue in financial institutions. VaR Contributions (VaRC) and Expected Shortfall Contributions (ESC) have become ...

  • Com les Varietats Invariants formen Espirals i Anells en Galàxies barrades 

    Romero Gómez, Mercè; Sánchez-Martín, Patricia; Masdemont Soler, Josep (2014)
    Article
    Open Access
    L'espectacularitat de les galàxies barrades consisteix no solament en la presència de la barra, allargada en el centre de la galàxia, sinó també en els braços espirals o anells que es desenvolupen en les parts exteriors. ...

  • Action-angle variables and a KAM theorem for b-Poisson manifolds 

    Kiesenhofer, Anna; Miranda Galcerán, Eva; Scott, Geoffrey (2015-02)
    External research report
    Open Access
    In this article we prove an action-angle theorem for b-integrable systems on b-Poisson manifolds improving the action-angle theorem contained in [LMV11] for general Poisson manifolds in this setting. As an application, we ...

  • Structural stability of planar bimodal linear systems 

    Ferrer Llop, Josep; Peña Carrera, Marta; Susín Sánchez, Antonio (2014-01-01)
    Article
    Open Access
    Structural stability ensures that the qualitative behavior of a system is preserved under small perturbations. We study it for planar bimodal linear dynamical systems, that is, systems consisting of two linear dynamics ...

  • EMtree for phylogenetic topology reconstruction on nonhomogeneous data 

    Ibáñez Marcelo, Esther; Casanellas Rius, Marta (2014-06-17)
    Article
    Open Access

  • Low degree equations for phylogenetic group-based models 

    Casanellas Rius, Marta; Fernández Sánchez, Jesús; Michalek, Mateusz (2015)
    Article
    Open Access
    Motivated by phylogenetics, our aim is to obtain a system of low degree equations that define a phylogenetic variety on an open set containing the biologically meaningful points. In this paper we consider phylogenetic ...

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