Periodic orbit analysis at the onset of the unstable dimension variability and at the blowout bifurcation

Rodrigo Frehse Pereira, Sandro Ely de Souza Pinto, Ricardo L. Viana +2

Many chaotic dynamical systems of physical interest present a strong form of nonhyperbolicity called unstable dimension variability (UDV), for which the chaotic invariant set conta…