Nonlinear Dynamical Systems Workshop for Students

Nonlinear Dynamical Systems Workshop

Nonlinear Dynamical Systems (NDS) – the general study of systems that change over time, provides useful data analysis methods to researchers in the social and behavioral sciences, statistics, economics and finance, biology, biomechanics, and other disciplines.

Participants in this comprehensive introduction to NDS methods will learn several approaches that complement traditional approaches to data analysis. The workshop will include substantial time practicing the methods on real data and interpreting the results. In addition to the theory and application of NDS methods, participants will learn how to choose among possible methods and how to integrate NDS findings into those of traditional statistics.  

The workshop will be of interest to graduate students majoring in a variety of research-intensive scientific fields. Participants will be introduced to a number of sophisticated data modeling and analysis techniques that can be used to more effectively analyze research data, thus yielding insights that may otherwise be lost.

Note: This workshop assumes that participants have had a standard one-semester graduate introductory research or statistics course and are comfortable using computers for data analysis. Although the workshop will use the R Statistical Environment, it is assumed that participants have no prior experience with R. Participants will be responsible for bringing their own computers for use during the workshop.


Monday, May 16, 2022 - Friday, May 20, 2022
8:30-11:30 and 1:30-4:30, with working lunches providing additional consulting time with the instructor during the lunch breaks.


Topics Covered

  • What’s the fuss about NDS? Basic measures of self-organization (power law distributions, burstiness, entropy)
  • State space and recurrence quantification analysis approaches
  • Catastrophe methods
  • Phases and transitions
  • Contemporaneous data vs. lagged data


This workshop provides graduate students with the opportunity to learn to perform NDS data analysis. This is a topic not usually included in graduate training but which can provide important insight into the understanding of systems. Further, this workshop is unique in its foci on applications and on integrating NDS with traditional approaches.


Dr. Bernard Ricca
Research Associate Professor
Lyda Hill Institute for Human Resilience


About the Instructor
Dr. Ricca is a physicist by training, a former secondary mathematics and science teacher, a teacher/educator for more than twenty years, and most recently, an Associate Professor of Statistics. Throughout his career, he has been a data scientist with a keen interest in nonlinear systems and enjoys working with messy and complex data sets. Dr. Ricca's main research interest involves the application of complex systems thinking – using notions more inspired by biological, developmental, and emergentist ideas than by mechanistic and predictive ideas - to social science contexts. He is especially interested in developing and refining methods by which complex systems may be studied.


UCCS Students: $239.00
Non-UCCS Students : $309.00


To register, sign up at the link below. 
Register Here


The Lane Center
4863 North Nevada Avenue, Conf. Room 130
University of Colorado Colorado Springs
Colorado Springs, Colorado, 80918


For additional information, email Dr. Ricca at