Nonlinear time series analysis (2018-2019): undergraduate course at the Faculty of Mathematics and statistics (FME-UPC)


Historical developments: from dynamical systems to complex systems

Univariate analysis

Methods to extract information from a time series.

Applications to climate data.

Bivariate analysis

Extracting information from two time series.

Correlation, directionality and causality.

Applications to climate data.

Multivariate analysis

Many time series: complex networks.

Network characterization and analysis.

Climate networks.


Nonlinear systems, control and chaos in engineering (2018-2019): undergraduate course at School of Industrial, Aeronautical and Audiovisual Engineering of Terrassa (ESEIAAT)


Introduction to Dynamical Systems, fixed points, linear stability analysis, and numerical integration


Bifurcations: saddle-node, transcritical and pitchfork


Phase oscillators, entrainment and locking


Time-delayed feedback control



Laser systems and applications (2018-2019): master course at Barcelona Master in Photonics (joint MsC program offered by UPC, UAB, UB and ICFO).


Semiconductor light sources: LEDs, amplifiers and diode lasers


Low power applications


Laser models and dynamics


High power lasers, medical lasers and life sciences applications



Other teaching activities

Tutorial: Data analysis tools for identifying and characterizing dynamical transitions

Conference Extremes 2018, Hanover, Germany, March 2018




Three lectures on Nonlinear time series analysis

ICTP-SAIFR School on Nonlinear Time Series Analysis and Complex Networks in the Big Data Era

Sao Paulo, Brazil, February 2018

Lecture 1: Introduction to nonlinear time series analysis. Video

Lecture 2: Identifying dynamical transitions from data. Video

Lecture 3: Climate data analysis. Video



Lecture: Introduction to nonlinear time series analysis tools

BE-OPTICAL Second School

Torun, Poland, May 2017


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