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Biparametric investigation of the general standard map: multistability and global bifurcations
(2018-07-01)
We investigate multistability and global bifurcations in the general standard map, a biparametric two-dimensional map. Departing from the conservative case of the map, we describe the evolution of periodic solutions and ...
Global dynamics and diffusion in the rational standard map
(Elsevier Science, 2020-12)
In this paper we study the dynamics of the Rational Standard Map, which is a generalization of theStandard Map. It depends on two parameters, the usual K and a new one, 0 ≤ μ < 1, that breaksthe entire character of the ...
On the localization of invariant Tori in a family of generalized standard mappings and its applications to scaling in a chaotic sea
(2018-01-01)
The localization of the last invariant spanning curve - also known as the last invariant tori - in a family of generalized standard mappings is discussed. The position of the curve dictates the size of the chaotic sea hence ...
Analytical description of critical dynamics for two-dimensional dissipative nonlinear maps
(2016-05-20)
The critical dynamics near the transition from unlimited to limited action diffusion for two families of well known dissipative nonlinear maps, namely the dissipative standard and dissipative discontinuous maps, is ...
A street map built by a mobile mapping system
(2000-01-01)
Mobile mapping systems (MMS) integrate sensors and methods to deliver an accurate spatial position of details on or near the topographic surface. This means an expensive hardware configuration where CCD cameras, GPS ...
Técnicas geoestatísticas aplicadas ao mapeamento de variáveis limnológicas e quantificação da incerteza associada às estimativas
(2015-01-01)
Aim: This study aimed to map the concentrations of limnological variables in a reservoir employing semivariogram geostatistical techniques and Kriging estimates for unsampled locations, as well as the uncertainty calculation ...
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 ...