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

• A. Ghose-Choudhury ^[2] ; Partha Guha ^[1]
  1. [1] S.N. Bose National Centre for Basic Sciences

     S.N. Bose National Centre for Basic Sciences

     India

     
  2. [2] Surendranath College (India)
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 16, Nº 3, 2017, págs. 609-621
• Idioma: inglés
• DOI: 10.1007/s12346-017-0227-2
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.