• On the 16th Hilbert problem for algebraic limit cycles 

      Llibre Saló, Jaume; Ramírez Inostroza, Rafael Orlando; Sadovskaia Nurimanova, Natalia Guennadievna (2010-03-15)
      Article
      Accés restringit per política de l'editorial
      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
      Accés restringit per política de l'editorial
      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
      Accés restringit per política de l'editorial
      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 ...