89 citations · 598 across the 50 of their papers we have counts for
50 papers
A nontwist field line mapping in a tokamak with ergodic magnetic limiter
Michele Mugnaine, José D. Szezech, Ricardo L. Viana +1
For tokamaks with uniform magnetic shear, Martin and Taylor have proposed a symplectic map has been used to describe the magnetic field lines at the plasma edge perturbed by an erg…
Hamiltonian description for magnetic field lines: a tutorial
Ricardo L. Viana, Michele Mugnaine, Iberê L. Caldas
Under certain circumstances, the equations for the magnetic field lines can be recast in a canonical form, after defining a suitable field line Hamiltonian. This analogy is extreme…
Synchronization of phase oscillators due to nonlocal coupling mediated by the slow diffusion of a substance
Pedro Haerter, Ricardo L. Viana
Many systems of physical and biological interest are characterized by assemblies of phase oscillators whose interaction is mediated by a diffusing chemical. The coupling effect res…
Shearless curve breakup in the biquadratic nontwist map
Gabriel C. Grime, Marisa Roberto, Ricardo L. Viana +2
Nontwist area-preserving maps violate the twist condition along shearless invariant curves, which act as transport barriers in phase space. Recently, some plasma models have presen…
Unpredictability in seasonal infectious diseases spread
Enrique C. Gabrick, Elaheh Sayari, Paulo R. Protachevicz +7
In this work, we study the unpredictability of seasonal infectious diseases considering a SEIRS model with seasonal forcing. To investigate the dynamical behaviour, we compute bifu…
Stickiness and recurrence plots: an entropy-based approach
Matheus R. Sales, Michele Mugnaine, José D. Szezech +4
The stickiness effect is a fundamental feature of quasi-integrable Hamiltonian systems. We propose the use of an entropy-based measure of the recurrence plots (RP), namely, the ent…