27 citations · 44 across the 18 of their papers we have counts for
6 papers · 1 filter
Identifying ballistic modes via Poincaré sections
André Farinha Bósio, Iberê Luiz Caldas, Ricardo Luiz Viana +1
Exploring chaotic systems via Poincaré sections has proven essential in dynamical systems, yet measuring their characteristics poses challenges to identify the various dynamical re…
Shearless bifurcations for two isochronous resonant perturbations
Bruno B. Leal, Matheus J. Lazarotto, Michele Mugnaine +3
In nontwist systems, primary shearless curves act as barriers to chaotic transport. Surprisingly, the onset of secondary shearless curves has been reported in a few twist systems.…
Shrinking shrimp-shaped domains and multistability in the dissipative asymmetric kicked rotor map
Matheus Rolim Sales, Michele Mugnaine, Edson Denis Leonel +2
An interesting feature in dissipative nonlinear systems is the emergence of characteristic domains in parameter space that exhibit periodic temporal evolution, known as shrimp-shap…
Benchmark: Tao's symplectic integration method
Matheus Lazarotto, Iberê Caldas, Yves Elskens
A benchmark test was conducted for a new symplectic integration method originally developed by Molei Tao. The method raises interest due to its explicit evolution equation, with ap…
Ratchet current and scaling properties in a nontwist mapping
Matheus Rolim Sales, Daniel Borin, Leonardo Costa de Souza +4
We investigate the transport of particles in the chaotic component of phase space for a two-dimensional, area-preserving nontwist map. The survival probability for particles within…
Spiral wave dynamics in a neuronal network model
Diogo L. M. Souza, Fernando S. Borges, Enrique C. Gabrick +8
Spiral waves are spatial-temporal patterns that can emerge in different systems as heart tissues, chemical oscillators, ecological networks and the brain. These waves have been ide…