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Theory and observation of nonlinear dynamical systems: Application to ocean and earthquake

Grant number: 10/09405-5
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): August 01, 2010
Effective date (End): July 31, 2012
Field of knowledge:Physical Sciences and Mathematics - Physics - General Physics
Principal researcher:Erico Luiz Rempel
Grantee:Benjamin Andres Toledo Cabrera
Home Institution: Divisão de Ciências Fundamentais (IEF). Instituto Tecnológico de Aeronáutica (ITA). Ministério da Defesa (Brasil). São José dos Campos , SP, Brazil


The most prominent feature of nonlinear dynamical systems is its extreme sensibilityto small perturbations in an appropriate parameter range, which is explained throughunstable periodic orbits making up attracting and non attraction chaotic sets. Ouraim is study this basic structures in some fundamental systems and search for theirfingerprints, with and without noise, in basic earthquake dynamics, and data sets fromsunspots and oceanic turbulence.

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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
TOLEDO, B. A.; CHIAN, A. C. -L.; REMPEL, E. L.; MIRANDA, R. A.; MUNOZ, P. R.; VALDIVIA, J. A. Wavelet-based multifractal analysis of nonlinear time series: The earthquake-driven tsunami of 27 February 2010 in Chile. Physical Review E, v. 87, n. 2 FEB 28 2013. Web of Science Citations: 10.

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