6 citations · 11 across the 2 of their papers we have counts for
2 papers
math.DS2010★ 6 cited
Topological dynamics of generic piecewise continuous contractive maps in n dimensions
Eleonora Catsigeras, Ruben Budelli
We study the topological dynamics by iterations of a piecewise continuous, non linear and locally contractive map in a real finite dimensional compact ball. We consider those maps…
math.DS2008★ 5 cited
Contractive piecewise continuous maps modeling networks of inhibitory neurons
E. Catsigeras, A. Rovella, R. Budelli
We prove that a topologically generic network (an open and dense set of networks) of three or more inhibitory neurons have periodic behavior with a finite number of limit cycles th…