46 citations · 225 across the 28 of their papers we have counts for
3 papers · 1 filter
Bursting synchronization in networks with long-range coupling mediated by a diffusing chemical substance
R. L. Viana, A. M. Batista, C. A. S. Batista +3
Many networks of physical and biological interest are characterized by a long-range coupling mediated by a chemical which diffuses through a medium in which oscillators are embedde…
Turing instability in oscillator chains with non-local coupling
R. L. Viana, F. A. dos S. Silva, S. R. Lopes
We investigate analytically and numerically the conditions for the Turing instability to occur in a one-dimensional chain of nonlinear oscillators coupled non-locally in such a way…
Finite-time rotation number: a fast indicator for chaotic dynamical structures
J. D. Szezech, A. B. Schelin, I. L. Caldas +3
Lagrangian coherent structures are effective barriers, sticky regions, that separate phase space regions of different dynamical behavior. The usual way to detect such structures is…