3DBMO: A TIME SERIES CANONICAL GENERATOR TO STUDY THE PSD DIMENSIONAL DEPENDENCE IN COMPLEX PHYSICAL SYSTEMS
Paulo Zeferino1; Reinaldo Rosa2; Murilo Dantas3
1 CAP / National Institute for Space Research - INPE, São José dos Campos; 2 LAC / National Institute for Space Research - INPE, São José dos Campos; 3 Federal Institute of Education, Science and Technology of São Paulo - IFSP, Jacareí
Resumo
The study of density, magnetic and electric field fluctuations in real systems, such as nonlinear processes in the solar, magnetospheric and ionospheric environments, is generally analyzed using Power Spectrum Density (PSD) which is calculated from onedimensional data in the form of time series. In this work we present a new simulation device of multi-dimensional harmonic mechanical oscillations (we call 3DBMO) for generate robust time series from selected elements, where the spectral analysis is used to determine the hypothesis of dependence variation of the power spectrum according to the structure of the generated system. The importance of this study is discussed into the context of complex physical systems as nonlinear oscillators, fluids and plasmas, to which the correspondent dynamics is usually characterized by using PSD and related scaling exponents.
Palavras-chave: Complex Dynamics; Time Series Analysis; Coupled Oscillators System; Modeling, Numerical Simulation and Optimization