37 citations · 135 across the 30 of their papers we have counts for
4 papers · 2 filters
Simultaneous Continuation of Infinitely Many Sinks Near a Quadratic Homoclinic Tangency
Eleonora Catsigeras, Marcelo Cerminara, Heber Enrich
We prove that the diffeomorphisms on surfaces, exhibiting infinitely many sinksnear the generic unfolding of a quadratic homoclinic tangency of a dissipative saddle, can be p…
The real analytic Feigenbaum-Coullet-Tresser attractor in the disk
E. Catsigeras, M. Cerminara, H. Enrich
We consider a real analytic diffeomorphism on a n-dimensional disk D, n >= 2, exhibiting a Feigenbaum-Coullet-Tresser (F.C.T.) attractor, being far, in the standard topology…
Observable invariant measures
E. Catsigeras, H. Enrich
For continuous maps on a compact manifold M, particularly for those that do not preserve the Lebesgue measure m, we define the observable invariant probability measures as a genera…
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…