Now showing items 1-4 of 4

  • A new approach to the vakonomic mechanics 

    Llibre Saló, Jaume; Ramírez Ros, Rafael; Sadovskaia Nurimanova, Natalia Guennadievna (2014-11-01)
    Article
    Restricted access - publisher's policy
    The aim of this paper was to show that the Lagrange-d'Alembert and its equivalent the Gauss and Appel principle are not the only way to deduce the equations of motion of the nonholonomic systems. Instead of them we consider ...
  • Bifurcation of relative equilibria of the (1+3)-body problem 

    Corbera, M.; Cors Iglesias, Josep Maria; Llibre Saló, Jaume; Moeckel, Richard (2015-04-02)
    Article
    Open Access
    We study the relative equilibria of the limit case of the planar Newtonian 4-body problem when three masses tend to zero, the so-called (1+3)-body problem. Depending on the values of the infinitesimal masses the number of ...
  • Centers of quasi-homogeneous polynomial differential equations of degree three 

    Aziz, Waleed; Llibre Saló, Jaume; Pantazi, Chara (2014-03-20)
    Article
    Restricted access - publisher's policy
    We characterize the centers of the quasi-homogeneous planar polynomial differential systems of degree three. Such systems do not admit isochronous centers. At most one limit cycle can bifurcate from the periodic orbits of ...
  • Morphisms and inverse problems for Darboux integrating factors 

    Llibre Saló, Jaume; Pantazi, Chara; Walcher, Sebastian (2013-12)
    Article
    Open Access
    Polynomial vector fields which admit a prescribed Darboux integrat- ing factor are quite well-understood when the geometry of the underlying curve is nondegenerate. In the general setting morphisms of the affine plane ...