Ara es mostren els items 30-49 de 72

    • Generalized analytical results on n-ejection–collision orbits in the RTBP: analysis of bifurcations 

      Martínez-Seara Alonso, M. Teresa; Ollé Torner, Mercè; Rodríguez del Río, Óscar; Soler Villanueva, Jaume (Springer Nature, 2023-02-01)
      Article
      Accés obert
      In the planar circular restricted three-body problem and for any value of the mass parameter µ¿(0,1) and n=1 , we prove the existence of four families of n-ejection–collision (n-EC) orbits, that is, orbits where the particle ...
    • Generic bifurcations of low codimension of planar Filippov Systems 

      Martínez-Seara Alonso, M. Teresa; Guàrdia Munarriz, Marcel; Teixeira, Marco Antonio (2011-02)
      Article
      Accés restringit per política de l'editorial
      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 ...
    • Generic bifurcations of low codimension of planar Filippov Systems 

      Guàrdia Munarriz, Marcel; Martínez-Seara Alonso, M. Teresa; Teixeira, Marco Antonio (2009-10)
      Report de recerca
      Accés obert
      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 ...
    • 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
      Accés obert
      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 ...
    • Hopf-Zero singularities truly unfold chaos 

      Baldomá Barraca, Inmaculada; Ibáñez Mesa, Santiago; Martínez-Seara Alonso, M. Teresa (2020-05-01)
      Article
      Accés obert
      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 ...
    • Instability of high dimensional Hamiltonian systems: Multiple resonances do not impede diffusion 

      Delshams Valdés, Amadeu; Llave Canosa, Rafael de la; Martínez-Seara Alonso, M. Teresa (2016-05-14)
      Article
      Accés obert
      We consider models given by Hamiltonians of the form View the MathML sourceH(I,f,p,q,t;e)=h(I)+¿j=1n±(12pj2+Vj(qj))+eQ(I,f,p,q,t;e) Turn MathJax on where I¿I¿Rd,f¿TdI¿I¿Rd,f¿Td, p,q¿Rnp,q¿Rn, t¿T1t¿T1. These are higher ...
    • Instability of high dimensional Hamiltonian systems: Multiple resonances do not impede diffusion 

      Delshams Valdés, Amadeu; de la Llave, Rafael; Martínez-Seara Alonso, M. Teresa (2013-06)
      Report de recerca
      Accés obert
      Abstract. We consider models given by Hamiltonians of the form H ( I;';p;q;t ; " ) = h ( I )+ n X j =1 1 2 p 2 j + V j ( q j ) + "Q ( I;';p;q;t ; " ) where I 2I R d ;' 2 T d ...
    • Kolmogórov: la K del teorema KAM. Lliçó inaugural Curs Kolmogórov (2021-2022) 

      Martínez-Seara Alonso, M. Teresa (2021-11-25)
      Audiovisual
      Accés obert
      Lliçó inaugural del curs 2021-2022 a càrrec de la professora Tere Martínez-Seara amb el títol "Kolmogórov: la K del teorema KAM". El curs 2021-2022 de l'FME està dedicat a Andrei N. Kolmogórov
    • Les varietats invariants i el seu paper en els sistemes dinàmics: de les òrbites dels cometes a les ones cerebrals 

      Martínez-Seara Alonso, M. Teresa (2022-03-16)
      Audiovisual
      Accés obert
      Maria Teresa Martínez-Seara Alonso en el Cicle de Xerrades Panoràmiques sobre temes de recerca d'actualitat adreçades a estudiants i joves investigadors
    • 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
      Accés obert
      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 ...
    • Lower and upper bounds for the splitting of separatrices of the pendulum under a fast quasiperiodic forcing 

      Delshams Valdés, Amadeu; Gelfreich, Vassili; Jorba, Angel; Martínez-Seara Alonso, M. Teresa (1997)
      Article
      Accés obert
      Quasiperiodic perturbations with two frequencies $(1/\varepsilon ,\gamma /\varepsilon )$ of a pendulum are considered, where $\gamma $ is the golden mean number. We study the splitting of the three-dimensional invariant ...
    • On the asymptotic wavenumber of spiral waves in lambda - omega systems 

      Aguareles Carrero, María; Baldomá Barraca, Inmaculada; Martínez-Seara Alonso, M. Teresa (2016-01-01)
      Article
      Accés obert
      In this paper we consider spiral wave solutions of a general class of $\lambda -\omega $ systems with a small twist parameter q and we prove that the asymptotic wavenumber of the spirals is a ${{\mathcal{C}}^{\infty}}$ ...
    • On the numerical computation of Diophantine rotation numbers of analytic circle maps 

      Martínez-Seara Alonso, M. Teresa; Villanueva Castelltort, Jordi (2004)
      Article
      Accés obert
      In this paper we present a numerical method to compute Diophantine rotation numbers of circle maps with high accuracy. We mainly focus on analytic circle diffeomorphisms, but the method also works in the case of (enough) ...
    • Orbits of unbounded energy in quasi-periodic perturbations of geodesic flows 

      Delshams Valdés, Amadeu; Llave Canosa, Rafael de la; Martínez-Seara Alonso, M. Teresa (2003)
      Article
      Accés obert
      We show that certain mechanical systems, including a geodesic °ow in any dimension plus a quasi-periodic perturbation by a potential, have orbits of unbounded energy. The assumptions we make in the case of geodesic °ows ...
    • Oscillatory motions and parabolic manifolds at infinity in the planar circular restricted three body problem 

      Capinski, Maciej J.; Guàrdia Munarriz, Marcel; Martínez-Seara Alonso, M. Teresa; Zgliczynski, Piotr; Martín de la Torre, Pablo (Elsevier, 2022-05-25)
      Article
      Accés obert
      Consider the Restricted Planar Circular 3 Body Problem. If the trajectory of the body of zero mass is defined for all time, it can have the following four types of asymptotic motion when time tends to infinity forward or ...
    • Oscillatory motions for the restricted planar circular three body problem 

      Guàrdia Munarriz, Marcel; Martín, Pau; Martínez-Seara Alonso, M. Teresa (2016-02-01)
      Article
      Accés obert
      © 2015, Springer-Verlag Berlin Heidelberg. The restricted three body problem models the motion of a massless body under the influence of the Newtonian gravitational force caused by two other bodies called the primaries. ...
    • Oscillatory orbits in the restricted elliptic planar three body problem 

      Guàrdia Munarriz, Marcel; Martín, Pau; Sabbagh, Lara; Martínez-Seara Alonso, M. Teresa (Southwest Missouri State University, 2017-01-01)
      Article
      Accés obert
      The restricted planar elliptic three body problem models the motion of a massless body under the Newtonian gravitational force of two other bodies, the primaries, which evolve in Keplerian ellipses. A trajectory is called ...
    • Oscillatory orbits in the restricted planar four body problem 

      Martínez-Seara Alonso, M. Teresa; Zhang, Jianlu (2020-12-01)
      Article
      Accés obert
      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 ...
    • Periodic solutions with nonconstant sign in Abel equations of the second kind 

      Olm Miras, Josep Maria; Ros Oton, Xavier; Martínez-Seara Alonso, M. Teresa (2011-09)
      Article
      Accés obert
      The study of periodic solutions with constant sign in the Abel equation of the second kind can be made through the equation of the first kind. This is because the situation is equivalent under the transformation xmaps ...
    • Periodic solutions with nonconstant sign in Abel equations of the second kind 

      Martínez-Seara Alonso, M. Teresa; Ros Oton, Xavier; Olm Miras, Josep Maria (2011-02)
      Report de recerca
      Accés obert
      The study of periodic solutions with constant sign in the Abel equation of the second kind can be made through the equation of the first kind. This is because the situation is equivalent under the transformation x 7¡æ ...