Annual Nonlinear Analysis Workshop
Participants will learn how to use nonlinear methods to analyze real biological data by first learning about the underlying mathematics of each nonlinear method in a simple and friendly fashion. Instructors will use class discussions and hands-on practice to facilitate understanding of the material covered in the lectures. Participants with varied backgrounds are welcome.
At the completion of the course, participants should be able to:
- Understand the basic concepts in nonlinear dynamics and chaos.
- Describe what each nonlinear method measures.
- Understand the basic mathematical algorithm behind each nonlinear method.
- Understand parameter selection for each nonlinear analysis method.
- Understand how to apply different nonlinear methods to biological time series data.
- Know which nonlinear methods are used to analyze biological time series data.
- Understand the uses and applications of nonlinear analysis.
- Understand limitations of nonlinear methods.
- Apply nonlinear analysis in professional settings.
Prerequisites for the Course
Knowledge of college algebra, basic trigonometry, basic statistics and basic computer skills are needed to be successful in this workshop.
This course is designed to be a comprehensive introduction to nonlinear analysis tools. Researchers, clinicians, and graduate students of all levels are encouraged to attend.
Dynamical Systems, Fractal Analysis, State Space Reconstruction, Lyapunov Exponent, Entropy, Recurrence Quantification Analysis (RQA), Surrogation, introduction to time series, correlation dimension, hurst exponent, Shannon's Entropy, Symbolic Entropy, Pseudoperiodic Surrogate Method, Capacity Dimension, Detrended Fluctuation Analysis (DFA), Approximate Entropy, Surrogate methods, Small Shuffle Surrogate Method, Sample Entropy, and Theiler's Algorithms.
- PowerPoint slides.
- Laptops with necessary software are provided during the afternoon hands on sessions.
- Breakfast and snacks each day in the workshop classroom.
- $10/day for lunch to use on UNO's campus.
- Participants will be given a copy of codes used during the hands on sessions. Participants are encouraged to use data from their own laboratory during the hands on sessions, however sample data from the Biomechanics Research Building will also be provided to practice using the nonlinear tools.
Textbook and Readings
Readings will not be assigned during the course. Prior to arrival in Omaha, workshop participants may be sent research articles of interest which may help facilitate discussion of course topics.
To supplement the lecture notes, workshop participants may benefit from reading:
- Stergiou N. (2016). Nonlinear Analysis for Human Movement Variability. CRC PRESS.
- Stergiou N, Decker LM. (2011) Human movement variability, nonlinear dynamics, and pathology: Is there a connection? Hum Mov Sci. 30:(5): 869-888.
- Harrison SJ, Stergiou N. (2015). Complex Adaptive Behavior and Dexterous Action. Nonlinear Dynamics Psychol Life Sci. 2015 Oct;19(4):345-94.
- Stergiou N, Harbourne R, Cavanaugh J. (2006). Optimal movement variability: a new theoretical perspective for neurologic physical therapy. J Neurol Phys Ther. 30(3):120-9.
- Harbourne RT, Stergiou N. (2009). Movement variability and the use of nonlinear tools: principles to guide physical therapist practice. Phys Ther. 89(3):267-82.
The course is open to all UNO/UNMC/UNL/UNK graduate students. Please use MavLINK and register for BMCH 8100/9101 NONLINEAR ANALYSIS FOR MOVEMENT SCIENCES.
Graduate students outside UNO, the course fee* is $450. A letter from your advisor/mentor verifying that you are a student in an academic program must be submitted to Ms. Laura Rotert at email@example.com.
Professionals, course fee* is $950.
*The course fee is NOT refundable.