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

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

Abstract

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.

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. (10/09405-5, 11/50714-4, 11/10466-1, 10/00214-2)