Abstract (EN):
We study arcs of diffeomorphisms that bifurcate through the creation of a non-connected heterodimensional cycle. We exhibit two open sets of such arcs; in the first one, after the bifurcation, the set of parameter values for which the corresponding diffeomorphism is stable (stable set) is empty, in the second one OMEGA-stability has some degree of prevalence, i.e. the relative measure of the OMEGA-stable set is bounded away from zero.
Language:
English
Type (Professor's evaluation):
Scientific
No. of pages:
27