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19 Dic, 2017 · 13:00 al 19 Dic, 2017 · 14:00 Instituto de Matemáticas de la Universidad de Granada (IEMath-GR)

Seminario de Jóvenes Investigadores en Matemáticas: «Resonance tongues in the linear Sitnikov equation».

Mauricio Misquero Castro

Conferencias, seminarios, divulgación científica

  • Fecha: Martes 19 de Diciembre de 2017
  • Lugar: Instituto de Investigación en Matemáticas IEMath-GR. Seminario 1ª planta.
  • Horario: 13:00 – 14:00 h.
  • Descripción: Conferenciante: Mauricio Misquero Castro (Universidad de Granada – FPU).
    Resumen: It is studied a Hill’s equation, depending on two parameters e∈[0,1) and Λ>0, that has applications to some problems in Celestial Mechanics of the Sitnikov-type. Due to the onlinearity of the eccentricity parameter ee and the coexistence problem, the stability diagram in the (e,Λ)-plane presents unusual resonance tongues emerging from points (0,(n/2)^2), n=1,2,…. The tongues bounded by curves of eigenvalues corresponding to 2π-periodic solutions collapse into a single curve of coexistence (for which there exist two independent 2π-periodic igenfunctions), whereas the remaining tongues have no pockets and are very thin.
    Unlike most of the literature related to resonance tongues and Sitnikov-type problems, the study of the tongues is made from a global point of view in the whole range of e∈[0,1). We apply the stability diagram of our equation to determine the regions for which the equilibrium of a Sitnikov (N+1)-body problem is stable in the sense of Lyapunov and the regions having symmetric periodic solutions with a given number of zeros.
  • Organiza: Instituto de Investigación en Matemáticas IEMath-GR
  • Más información: Instituto de Investigación en Matemáticas IEMath-GR
    Universidad de Granada



19 de diciembre de 2017

13:00 - 14:00