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Correlations in area preserving maps: A Shannon entropy approach
(Elsevier Science, 2020-01-15)
In the present work we extend and generalize the formulation of the Shannon entropy as a measure of correlations in the phase space variables of any dynamical system. By means of theoretical arguments we show that the ...
Scaling invariance of the diffusion coefficient in a family of two-dimensional Hamiltonian mappings
(2013-06-10)
We consider a family of two-dimensional nonlinear area-preserving mappings that generalize the Chirikov standard map and model a variety of periodically forced systems. The action variable diffuses in increments whose phase ...
Scaling invariance of the diffusion coefficient in a family of two-dimensional Hamiltonian mappings
(2013-06-10)
We consider a family of two-dimensional nonlinear area-preserving mappings that generalize the Chirikov standard map and model a variety of periodically forced systems. The action variable diffuses in increments whose phase ...
Automated mapping of permanent preservation areas on hilltopsMapeamento automatizado de áreas de preservação permanente em topo de morros
(Universidade Federal de Lavras (UFLA), 2016)
Saddle points and rare collisions under scaling approach in a Fermi accelerator with two nonlinear terms
(2013-04-01)
Rare collisions of a classical particle bouncing between two walls are studied. The dynamics is described by a two-dimensional, nonlinear and area-preserving mapping in the variables velocity and time at the instant that ...
Secondary nontwist phenomena in area-preserving maps
(AMER INST PHYSICSMELVILLE, 2012)
Phenomena as reconnection scenarios, periodic-orbit collisions, and primary shearless tori have been recognized as features of nontwist maps. Recently, these phenomena and secondary shearless tori were analytically predicted ...
Permanent preservation, coverage area and use of the land in the hydrographic basin of the Almas River, microregion de Ceres, Goiás, BrazilÁreas de preservação permanente, cobertura e uso da terra da bacia hidrográfica do rio das Almas, microrregião de Ceres, Goiás, Brasil
(2019-12-31)
The aim of this study was to map the Permanent Preservation Areas (PPAs), as well as land cover and land use in the Almas River basin in Goiás, Brazil, based on geoprocessing. The results showed the remnants of the original ...
Fractal structures in nonlinear plasma physics
(ROYAL SOC, 2011)
Fractal structures appear in many situations related to the dynamics of conservative as well as dissipative dynamical systems, being a manifestation of chaotic behaviour. In open area-preserving discrete dynamical systems ...