Now showing items 1-4 of 4

  • Cartesian approach for constrained mechanical system with three degree of freedom 

    Ramírez Inostroza, Rafael Orlando; Sadovskaia Nurimanova, Natalia Guennadievna (2010)
    Article
    Open Access
    In the history of mechanics, there have been two points of view for studying mechanical systems: The Newtonian and the Cartesian. According the Descartes point of view, the motion of mechanical systems is described by the ...
  • On the 16th Hilbert problem for algebraic limit cycles 

    Llibre Saló, Jaume; Ramírez Inostroza, Rafael Orlando; Sadovskaia Nurimanova, Natalia Guennadievna (2010-03-15)
    Article
    Restricted access - publisher's policy
    For a polynomial planar vector field of degree n ≥ 2 with generic invariant algebraic curves we show that the maximum number of algebraic limit cycles is 1 + (n − 1)(n − 2)/2 when n is even, and (n − 1)(n − 2)/2 when n is ...
  • On the 16th Hilbert problem for limit cycles on nonsingular algebraic curves 

    Llibre Saló, Jaume; Ramírez Inostroza, Rafael Orlando; Sadovskaia Nurimanova, Natalia Guennadievna (2011-01-15)
    Article
    Restricted access - publisher's policy
    We give an upper bound for the maximum number N of algebraic limit cycles that a planar polynomial vector field of degree n can exhibit if the vector field has exactly k nonsingular irreducible invariant algebraic curves. ...
  • On the dinamics of nonholonomic systems 

    Ramírez Inostroza, Rafael Orlando; Sadovskaia Nurimanova, Natalia Guennadievna (2007)
    Article
    Restricted access - publisher's policy
    In the development of nonholonomic mechanics one can observe recurring confusion over the very equations of motion as well as the deeper questions associated with the geometry and analysis of these equations. First of ...