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NBCF Nonlinear Analysis Summer Workshop 2013
June 3-7, 2013
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This workshop is an introduction to nonlinear analysis methods. The purpose of this workshop is to introduce research scientists, clinicians, educators, and students to a variety of nonlinear methods for the analysis of biological time series data. 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 simplistic 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:
1) Understand the basic concepts in nonlinear dynamics and chaos.
2) Describe what each nonlinear method measures.
3) Understand the basic mathematical algorithm behind each nonlinear method.
4) Understand parameter selection for each nonlinear analysis method.
5) Understand how to apply different nonlinear methods to biological time series data.
6) Know which nonlinear methods are used to analyze biological time series data.
7) Understand the uses and applications of nonlinear analysis.
8) Understand limitations of nonlinear methods.
9) Apply nonlinear analysis in professional settings.

Prerequisites for the course.

College algebra, basic trigonometry, basic statistics and basic computer skills.  This course is designed to be a comprehensive introduction to nonlinear analysis tools.  Researchers, clinicians, and students of all levels are encouraged to attend.


Anastasia Kyvelidou, PhD
Nick Stergiou, PhD
Other members at NBCF will give guest lectures on clinical applications.


This workshop will take place in the Health, Physical Education, and Recreation building at the University of Nebraska at Omaha, Omaha NE, USA from June 3-7, 2013. Room number TBD.

Contents and organization.

Day 1: Introduction to Dynamical Systems
This day is a basic introduction to many important concepts that will be referenced during the remainder of the week.  Depending on the background of the participant, some of the Day 1 material may be review but it is necessary for progression through the rest of the course content.
Day 2-5: Nonlinear Methods
• Introduction to time series
• Reconstruction of the state space
• Different Nonlinear Methods
• Lyapunov Exponent Correlation Dimension
• Capacity Dimension
• Fractal Analysis Topics
• Hurst Exponent
• Detrended Fluctuation Analysis (DFA)
• Entropy
• Shannon's Entropy
• Approximate Entropy
• Sample Entropy
• Symbolic Entropy
• Surrogate methods
• Theiler's Algorithms
• Pseudoperiodic Surrogate Method
• Small Shuffle Surrogate Method
• Recurrence Quantification Analysis/Cross-Recurrence Quantification Analysis

Lecture notes.

Lecture notes will be distributed during the course. The notes will be covered in detail during each lecture. Participants are encouraged to supply data from their own laboratory to use during the hands on sessions.  However, sample data from the Nebraska Biomechanics Core Facility (NBCF) will also be provided in order 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, Buzzi UH, Kurz MJ, Heidel J. Nonlinear Tools in Human Movement. In: Stergiou N, ed., Innovative Analyses of Human Movement. Champaign: Human Kinetics, Champaign, 2004 and 
• Stergiou N, Decker LM. (2011) Human movement variability, nonlinear dynamics, and pathology: Is there a connection? Hum Mov Sci. 30:(5): 869-888.



Scott Hall (MAP) is available upon request. Under Nebraska state laws the use or possession of alcohol is prohibited on University property. Housing includes sheets, pillow, blanket and towels. Each suite has 4 private bedrooms and one bathroom.  The dining hall is on the first floor and arrangements can be made for you to pay cash for meals if desired. Please contact Ms. Amanda Fletcher ( to reserve on-campus housing by May 1, 2013. For more information about what the rooms are like, please go to the website. Prices for housing Workshop participants have yet to be determined. (Previously $129/night for a 4 bedroom/1 bathroom suite in 2012).


For any hotel: Each individual guest must make their own reservations by calling the hotel and requesting the UNO rate. All reservations must be guaranteed and accompanied by a first night room deposit or guaranteed with a major credit card. 

1) Courtyard Marriott – Aksarben Village

1625 S 67th Street
Omaha, NE 68106 USA
1 - (402) 951-4300
This hotel is within walking distance from UNO. Bistro café is available for breakfast, prices range from $4-10 per item. For more information, please go to:
Standard room has either a king size bed with a sofa bed pull out or two queen size beds. $104/night – (UNO rate)

2) Residence Inn Omaha

6990 Dodge Street
Omaha, NE 68132 USA
1- (402) 553-8898
Within walking distance from UNO. Complimentary breakfast. On Monday, Tuesday, and Wednesday nights a complimentary evening social is included. For more information about, please go to:
Individual rooms - Standard room has a queen size bed with a sofa pull out and a complete kitchen. $99/night – (UNO rate) Suites – Suites will sleep 4 – 5 people comfortably. $129/night – (UNO rate). This includes 2 queen size beds, sofa pull out, and kitchen.

Social events.

Tentative schedule: 
1) Complimentary lunch on UNO Campus every day
2) NBCF Lab visit social (Monday) 
3) Downtown, Omaha with provided transportation (Wednesday) 
4) BBQ Party at Dr Stergiou’s (Thursday) 
5) Pizza Party at NBCF (Friday)

Further information.

For course information:
Dr. Nick Stergiou
Phone: 1- (402) - 554-3247
Fax: 1- (402) - 554-3693

For general information or on-campus housing reservation:
Ms. Amanda Fletcher
Phone: 1- (402) - 554-3442
Fax: 1 - (402) - 554-3693


The course opens to all UNO graduate students. Please use MavLink and register for HPER-8000-402 SPEC STDS: NONLINEAR ANALYSIS.
For participants outside UNO, the course fee* is $700 for masters and doctoral students (a letter from your advisor/mentor verifying that you are a student in an academic program needs to be submitted to Ms. Fletcher) and $950 for professionals. Payment must be made online via our website (see below) through Paypal. Participants will receive an invoice after registration is accepted. Participants need to register with permission after May 10th, 2013. Registration cost includes breakfast and lunch on the UNO campus each day of the workshop, and all PowerPoint slides presented. Additionally laptops with necessary software are provided during the course of the workshop.

*The course fee is NOT refundable.

Click here to register