• A higher order frozen Jacobian iterative method for solving Hamilton-Jacobi equations 

      Alzahrani, Ebraheem O.; Alaidarous, Eman; Younas, Arshad M. M.; Ahmad, Fayyaz; Ahmad, Shamshad; Ahmad, Shahid (2016-01-01)
      Article
      Accés restringit per política de l'editorial
      It is well-known that the solution of Hamilton-Jacobi equation may have singularity i.e., the solution is non-smooth or nearly non-smooth. We construct a frozen Jacobian multi-step iterative method for solving Hamilton-Jacobi ...
    • Càlcul de l'escissió de separatrius usant tècniques de matching complex i ressurgència aplicades a l'equació de Hamilton-Jacobi 

      Olivé Farré, Carme (Universitat Politècnica de Catalunya, 2006-07-10)
      Tesi
      Accés obert
      L'objecte del nostre estudi és el sistema del pèndol simple amb una pertorbació ràpidament oscil·lant de període petit respecte el temps, però el paràmetre de pertorbació no serà necessàriament petit. El període de la ...
    • 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
      Accés obert
      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. ...
    • Geometric Hamilton-Jacobi theory for higher-order autonomous systems 

      Colombo, Leonardo; de León, Manuel; Prieto Martínez, Pedro Daniel; Román Roy, Narciso (2013-09-09)
      Report de recerca
      Accés obert
      The geometric framework for the Hamilton-Jacobi theory is used to study this theory in the ambient of higher-order mechanical systems, both in the Lagrangian and Hamiltonian formalisms. Thus, we state the corresponding ...
    • Geometrical structures of higher-order dynamical systems and field theories 

      Prieto Martínez, Pedro Daniel (Universitat Politècnica de Catalunya, 2014-10-02)
      Tesi
      Accés obert
      Geometrical physics is a relatively young branch of applied mathematics that was initiated by the 60's and the 70's when A. Lichnerowicz, W.M. Tulczyjew and J.M. Souriau, among many others, began to study various topics ...
    • Integrability and linearizability of a family of three-dimensional quadratic systems 

      Pantazi, Chara; Amen, Azad; Aziz, Waleed (2021-01-01)
      Article
      Accés obert
      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. ...
    • Kinematic reduction and the Hamilton-Jacobi equation 

      Barbero Liñán, María; De León, Manuel; Martin de Diego, David; Marrero, Juan Carlos; Muñoz Lecanda, Miguel Carlos (American Institute of Mathematical Sciences, 2012)
      Article
      Accés obert
      A close relationship between the classical Hamilton- Jacobi theory and the kinematic reduction of control systems by decoupling vector fields is shown in this paper. The geometric interpretation of this relationship ...