Mathematics Research Institute


Carrying Simplices in Competitive Maps

Janusz Mierczynski (Wroclaw University of Science and Technology)

Fecha: 04/09/2018 12:00
Lugar: Aula 1.5, Escuela de Ingenerías Industriales, Paseo del Cauce.
Grupo: G.I.R. Sistemas Dinámicos

Carrying simplices in competitive maps are unordered invariant (topological) one-codimensional simplices, attracting all nontrivial orbits. In the talk, a survey of the basic properties of carrying simplices will be given, concentrating in particular on relations between their geometrical properties (as smoothness, convexity) and the dynamical properties of the map. Some open problems will be presented, too.