NONLINEAR ANALYSIS OF TIME SERIES OF COMPLEX SYSTEMS

Responsible: Luciano Zunino

Collaborators:
Proff. Darío G. Pérez
Instituto de Física, Pontificia Universidad Católica de Valparaiso (PUCV), Valparaíso, Chile

Proff. Osvaldo A. Rosso
Instituto de Física, Universidade Federal de Alagoas (UFAL), BR 104 Norte km 97, Maceió, Alagoas, Brazil
Departamento de Informática en Salud, Hospital Italiano de Buenos Aires, Ciudad Autónoma de Buenos Aires, Argentina

PhD. Damián Gulich
Centro de Investigaciones Ópticas, CONICET La Plata-CIC, C.C. 3, Gonnet, Argentina
Departamento de Ciencias Básicas, Facultad de Ingeniería, Universidad Nacional de La Plata (UNLP), La Plata, Argentina

Proff. Gustavo Funes
Facultad de Ingeniería y Ciencias Aplicadas, Universidad de Los Andes, Mons. Alvaro del Portillo 12455, Las Condes Santiago, Chile

PhD. Felipe Olivares
Instituto de Física, Pontificia Universidad Católica de Valparaiso (PUCV), Valparaíso, Chile

Proff. Claudio R. Mirasso
Instituto de Física Interdisciplinar y Sistemas Complejos, IFISC (CSIC-UIB), Campus Universitat Illes Balears, Palma de Mallorca, Spain

Proff. Miguel Cornelles Soriano
Instituto de Física Interdisciplinar y Sistemas Complejos, IFISC (CSIC-UIB), Campus Universitat Illes Balears, Palma de Mallorca, Spain

Proff. Haroldo Valentin Ribeiro
Departamento de Física, Universidade Estadual de Maringá, Maringá, PR, Brazil

Proff. Aurelio F. Bariviera
Department of Business, Universitat Rovira i Virgili, Av. Universitat 1, Reus, Spain

Proff. Christopher W. Kulp
Department of Astronomy and Physics, Lycoming College, Williamsport, Pennsylvania, United States

Research topics

Chaotic dynamics in lasers with optical feedback
Fractal and multifractal analysis of time series
Characterization and discrimination of stochastic and chaotic systems using statistical quantifiers

Brief summary of current research

Specialization in time series analysis. Through the characterization of fluctuations in time associated with a significant variable of the system under study, it is possible to obtain relevant information about the mechanisms that govern its dynamics. In this sense, fractal and multifractal techniques have been explored, and the estimation of quantifiers derived from Information Theory (measures of entropy, complexity, divergences). Through these non-linear analyzes an attempt is made, among other aspects, to discriminate chaotic deterministic dynamics from purely stochastic dynamics.

Lines of research:

Projects in progress: