Resumen de Monotonicity of the Period Function of the Liénard Equation of Second Kind

A. Ghose-Choudhury, Partha Guha

• This paper is concerned with the monotonicity of the period function for closed orbits of systems of the Liénard II type equation given by x¨+ f (x)x˙2+g(x) = 0.

  We generalize Chicone’s result regarding the monotonicity of the period function to planar Hamiltonian vector fields in the presence of a position dependent mass.

  Sufficient conditions are also given for the isochronicity of the potential in case of such a system.