57 citations · 87 across the 4 of their papers we have counts for
4 papers
Parametric evolution of unstable dimension variability in coupled piecewise-linear chaotic maps
Rodrigo Frehse Pereira, Marcos C. Verges, Ricardo L. Viana +2
In presence of unstable dimension variability numerical solutions of chaotic systems are valid only for short periods of observation. For this reason, analytical results for system…
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…
Validity of numerical trajectories in the synchronization transition of complex systems
R. L. Viana, C. Grebogi, S. E. de S. Pinto +3
We investigate the relationship between the loss of synchronization and the onset of shadowing breakdown {\it via} unstable dimension variability in complex systems. In the neighbo…
Analytical results for coupled map lattices with long-range interactions
C. Anteneodo, S. E. de S. Pinto, A. M. Batista +1
We obtain exact analytical results for lattices of maps with couplings that decay with distance as . We analyze the effect of the coupling range on the system dynamics thro…