38 citations · 44 across the 5 of their papers we have counts for
5 papers
Density of first Poincaré returns, periodic orbits, and Kolmogorov-Sinai entropy
Paulo R. F. Pinto, M. S. Baptista, Isabel S. Labouriau
It is known that unstable periodic orbits of a given map give information about the natural measure of a chaotic attractor. In this work we show how these orbits can be used to cal…
Kolmogorov-Sinai entropy from recurrence times
M. S. Baptista, E. J. Ngamga, Paulo R. F. Pinto +2
Observing how long a dynamical system takes to return to some state is one of the most simple ways to model and quantify its dynamics from data series. This work proposes two formu…
Global Bifurcation Destroying The Experimental Torus T2
T. Pereira, M. S. Baptista, M. B. Reyes +3
We show experimentally the scenario of a two-frequency torus breakdown, in which a global bifurcation occurs due to the collision of a torus with an unstable periodic orbit,…
Phase Synchronization and invariant measures in sinusoidally perturbed chaotic systems
M. S. Baptista, T. Pereira, J. C. Sartorelli +2
We show that, in periodically perturbed chaotic systems, Phase Synchronization appears, associated to a special type of stroboscopic map, in which not only averages quantities are…
Inferior Bounds for Phase Synchronization
M. S. Baptista, T. Pereira, J. Kurths
An approach is presented for coupled chaotic systems, estimating an inferior bound value for the absolute phase difference, in order to say that phase synchronization is present. T…