Sobre funciones C^2 -convexas y dinámica discreta

• Romero, N. ^[1]
  1. [1] Universidad Centroccidental Lisandro Alvarado

     Universidad Centroccidental Lisandro Alvarado

     Venezuela

     
• Localización: MATUA: Revista de matemática de la universidad del Atlántico, ISSN-e 2389-7422, Vol. 3, Nº. 1, 2016 (Ejemplar dedicado a: Revista de Matemática MATUA), págs. 61-73
• Idioma: español
• Títulos paralelos:
  • On C2-convex functions and discrete dynamic
• Enlaces
  • Texto completo
• Resumen
  • español

    En este artículo reportamos varios conocidos resultados sobre la dinámica dada por la interaciónn de endomorfismos de R^n en los que al menos una de sus funciones coordenadas tiene cierto tipo de convexidad (C^2 -convexidad). Expondremos las propiedades básicas (analíticas y geométricas) de esta clase de funciones convexas que tienen importante influencia en los fenómenos dinámicos que son discutidos; también presentaremos algunos problemas que consideramos interesantes abordar. 

  • English

    In this paper we review several known results on the dynamics given by the iteration of endomorphisms on Rn in which at least one of the coordinate functions has certain type of convexity (C2-convexity). We will expose the basic properties (analytical and geometric) of this kind of functions which have important influence in the discussed dynamics phenomena. We will also present some problems that we consider interesting to appoach.

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