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

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nlin.CD2009★ 16 cited

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…

nlin.CD2008

Chaos synchronization in a hyperbolic dynamical system with long-range interactions

Rodrigo Frehse Pereira, Sandro Ely de Souza Pinto, Ricardo Luiz Viana +1

We show that the threshold of complete synchronization in a lattice of coupled non-smooth chaotic maps is determined by linear stability along the directions transversal to the syn…