Dinámica colectiva

• Mendez Lango, Hector ^[1]
  1. [1] UNAM, Facultad de Ciencias, Departamento de Matemáticas, Ciudad Universitaria, C.P. 04510, D.F., México
• Localización: Integración: Temas de matemáticas, ISSN 0120-419X, Vol. 30, Nº. 1, 2012 (Ejemplar dedicado a: Revista Integración), págs. 25-41
• Idioma: español
• Títulos paralelos:
  • Collective dynamics
• Enlaces
  • Texto completo (pdf)
• Resumen
  • español

    Dado un espacio métrico compacto Xy una función continua f: X→X, consideramos el hiperespacio de todos los subconjuntos de X que son cerrados y no vacíos,2X, con la métrica de Hausdorff, y la función que induce f en él, ˆf:2 X→2 X. En la última década ha habido una importante cantidad de artículos estudiando las relaciones entre las propiedades dinámicas de fy las de ˆf. En este trabajo presentamos un panorama con varios de los resultados más importantes. Ofrecemos, además, una breve colección de varias de las conjeturas y preguntas abiertas que se han planteado en esta área.

  • English

    For a metric compact setXand a continuous mapf: X→X we consider the hyperspace2X of all closed and nonempty subsets of X with the Hausdorff metric, and the induced mapˆf:2X→2X. In the past few years the study of the connection between the dynamical properties offand those Of ˆf has became an important and fruitful topic. In this paper we survey some significant results in this area. Also we collect some open questions and conjectures.

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