@article{PereiraBaptistaReyesetal.2006, author = {Pereira, Tiago and Baptista, Murilo da Silva and Reyes, Marcelo Bussotti and Caldas, Ibere Luiz and Sartorelli, Jos{\´e} Carlos and Kurths, J{\"u}rgen}, title = {Global bifurcation destroying the experimental torus T-2}, doi = {10.1103/Physreve.73.017201}, year = {2006}, abstract = {We show experimentally the scenario of a two-frequency torus T-2 breakdown, in which a global bifurcation occurs due to the collision of a torus with an unstable periodic orbit, creating a heteroclinic saddle connection, followed by an intermittent behavior}, language = {en} } @article{BaptistaPereiraKurths2006, author = {Baptista, Murilo da Silva and Pereira, Tiago and Kurths, J{\"u}rgen}, title = {Upper bounds in phase synchronous weak coherent chaotic attractors}, issn = {0167-2789}, doi = {10.1016/j.physd.2006.02.007}, year = {2006}, abstract = {An approach is presented for coupled chaotic systems with weak coherent motion, from which we estimate the upper bound value for the absolute phase difference in phase synchronous states. This approach shows that synchronicity in phase implies synchronicity in the time of events, a characteristic explored to derive an equation to detect phase synchronization, based on the absolute difference between the time of these events. We demonstrate the potential use of this approach for the phase coherent and the funnel attractor of the Rossler system, as well as for the spiking/bursting Rulkov map.}, language = {en} }