Wavelet-based multifractal analysis of nonlinear time series: The earthquake-driven tsunami of 27 February 2010 in Chile

Autor(es)

Toledo, B. A. ^{[1, 2, 3]} ; Chian, A. C. -L. ^{[4, 5]} ; Rempel, E. L. ^{[1, 3]} ; Miranda, R. A. ^{[1, 6, 3, 7]} ; Munoz, P. R. ^{[1, 3]} ; Valdivia, J. A. ^[2]

Afiliação do(s) autor(es)

^[1] CTA ITA IEFM, WISER, BR-12228900 Sao Jose Dos Campos, SP - Brazil

^[2] Univ Chile, Fac Ciencias, Dept Fis, Santiago - Chile

^[3] Inst Aeronaut Technol, BR-12228900 Sao Jose Dos Campos, SP - Brazil

^[4] WISER, BR-12227010 Sao Jose Dos Campos, SP - Brazil

^[5] CNRS, Observ Paris, LESIA, F-92190 Meudon - France

^[6] Inst Phys, Plasma Phys Lab, BR-70910900 Brasilia, DF - Brazil

^[7] Univ Brasilia UnB, Fac Technol, BR-70910900 Brasilia, DF - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Physical Review E; v. 87, n. 2 FEB 28 2013.
• Citações Web of Science: 10

Resumo

We study general multifractal properties of tidal gauge and long-wave time series which show a well defined transition between two states, as is the case of sea level when a tsunami arrives. We adopt a method based on discrete wavelets, called wavelet leaders, which has been successfully used in a wide range of applications from image analysis to biomedical signals. First, we analyze an empirical time series of tidal gauge from the tsunami event of 27 February 2010 in Chile. Then, we study a numerical solution of the driven-damped regularized long-wave equation (RLWE) which displays on-off intermittency. Both time series are characterized by a sudden change between two sharply distinct dynamical states. Our analysis suggests a correspondence between the pre- and post-tsunami states (ocean background) and the on state in the RLWE, and also between the tsunami state (disturbed ocean) and the off state in the RLWE. A qualitative similarity in their singularity spectra is observed, and since the RLWE is used to model shallow water dynamics, this result could imply an underlying dynamical similarity. DOI: 10.1103/PhysRevE.87.022821 (AU)

• Processo FAPESP: 10/00214-2 - Turbulência e sincronização em plasmas astrofísicos
• Beneficiário: Rodrigo Andres Miranda Cerda
• Linha de fomento: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 11/10466-1 - Turbulência e estruturas coerentes em plasmas astrofísicos
• Beneficiário: Pablo Rubén Muñoz Gutberlet
• Linha de fomento: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 10/09405-5 - Teoria e observação de sistemas dinâmicos não lineares: aplicação para oceanos e terremotos
• Beneficiário: Benjamin Andres Toledo Cabrera
• Linha de fomento: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 11/50714-4 - Campos magnéticos e dínamos em plasmas espaciais e astrofísicos
• Beneficiário: Erico Luiz Rempel
• Linha de fomento: Auxílio à Pesquisa - Regular