Extraction of slow and fast dynamics of multiple time scale systems using wavelet techniques

Autor(es)

Magrini, Luciano A. ^{[1, 2]} ; Domingues, Margarete Oliveira ^{[3, 4]} ; Macau, Elbert E. N. ^{[4, 5]} ; Kiss, Istvan Z. ^[6]

Afiliação do(s) autor(es)

^[1] Fed Inst Educ Sci & Technol Sao Paulo IFSP, BR-01109010 Sao Paulo - Brazil

^[2] Grad Program Appl Comp CAP INPE, BR-12227010 Sao Jose Dos Campos - Brazil

^[3] Natl Inst Space Res INPE, BR-12227010 Sao Jose Dos Campos - Brazil

^[4] Associated Lab Computat & Appl Math LabAC, BR-12227010 Sao Jose Dos Campos - Brazil

^[5] Fed Univ Sao Paulo Sao Jose dos Campos UNIFESP, BR-12231280 Sao Jose Dos Campos - Brazil

^[6] St Louis Univ, Dept Chem, 3501 Laclede Ave, St Louis, MO 63103 - USA

• Tipo de documento: Artigo Científico
• Fonte: Chaos; v. 30, n. 6 JUN 2020.
• Citações Web of Science: 0

Resumo

A methodology is presented based on wavelet techniques to approximate fast and slow dynamics present in time-series whose behavior is characterized by different local scales in time. These approximations are useful to understand the global dynamics of the original full systems, especially in experimental situations where all information is contained in a one-dimensional time-series. Wavelet analysis is a natural approach to handle these approximations because each dynamical behavior manifests its specific subset in frequency domain, for example, with two time scales, the slow and fast dynamics, present in low and high frequencies, respectively. The proposed procedure is illustrated by the analysis of a complex experimental time-series of iron electrodissolution where the slow chaotic dynamics is interrupted by fast irregular spiking. The method can be used to first filter the time-series data and then separate the fast and slow dynamics even when clear maxima and/or minima in the corresponding global wavelet spectrum are missing. The results could find applications in the analysis of synchronization of complex systems through multi-scale analysis. (AU)

• Processo FAPESP: 15/50122-0 - Fenômenos dinâmicos em redes complexas: fundamentos e aplicações
• Beneficiário: Elbert Einstein Nehrer Macau
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 15/25624-2 - Desenvolvimento de modelagem multiescala para instabilidades locais não-lineares em Astrofísica e Geofísica Espacial
• Beneficiário: Margarete Oliveira Domingues
• Modalidade de apoio: Auxílio à Pesquisa - Regular