TY  - JOUR
A1  - Maranhão, D. M.
A1  - Sartorelli, Jose Carlos
A1  - Baptista, Murilo da Silva
T1  - Experimental identification of chaotic fibers
N2  - In a 2D parameter space, by using nine experimental time series of a Clitia's circuit, we characterized three codimension-1 chaotic fibers parallel to a period-3 window. To show the local preservation of the properties of the chaotic attractors in each fiber, we applied the closed return technique and two distinct topological methods. With the first topological method we calculated the linking, numbers in the sets of unstable periodic orbits, and with the second one we obtained the symbolic planes and the topological entropies by applying symbolic dynamic analysis.
Y1  - 2009
UR  - http://www.sciencedirect.com/science/journal/09600779
U6  - https://doi.org/10.1016/j.chaos.2007.01.131
SN  - 0960-0779
ER  - 
TY  - JOUR
A1  - Pereira, Tiago
A1  - Baptista, Murilo da Silva
A1  - Reyes, Marcelo B.
A1  - Caldas, Ibere Luiz
A1  - Sartorelli, José Carlos
A1  - Kurths, Jürgen
T1  - A scenario for torus T-2 destruction via a global bifurcation
N2  - We show a scenario of a two-frequeney torus breakdown, in which a global bifurcation occurs due to the collision of a quasi-periodic torus T-2 with saddle points, creating a heteroclinic saddle connection. We analyze the geometry of this torus-saddle collision by showing the local dynamics and the invariant manifolds (global dynamics) of the saddle points. Moreover, we present detailed evidences of a heteroclinic saddle-focus orbit responsible for the type- if intermittency induced by this global bifurcation. We also characterize this transition to chaos by measuring the Lyapunov exponents and the scaling laws.
Y1  - 2009
UR  - http://www.sciencedirect.com/science/journal/09600779
U6  - https://doi.org/10.1016/j.chaos.2007.06.115
SN  - 0960-0779
ER  - 
TY  - JOUR
A1  - Pereira, Tiago
A1  - Baptista, Murilo da Silva
A1  - Reyes, Marcelo Bussotti
A1  - Caldas, Ibere Luiz
A1  - Sartorelli, José Carlos
A1  - Kurths, Jürgen
T1  - Global bifurcation destroying the experimental torus T-2
N2  - 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
Y1  - 2006
UR  - http://pre.aps.org/
U6  - https://doi.org/10.1103/Physreve.73.017201
ER  -