Annual Nonlinear Analysis Workshop
AUGUST 4-8, 2014
- 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.
- Troy Rand, MS
- Nick Stergiou, PhD
- Shane Wurdeman, PhD
- Sara Myers, PhD
- Mukul Mukherjee, PhD
- Anastasia Kyvelidou, PhD
- Jenna Yentes, PhD
CONTENT 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: Fractal Analysis
This day is a discussion of the basis of fractals, what they are and how they may be analyzed. Several techniques are introduced, including the advantages or shortcomings of the different algorithms.
Day 3: State space reconstruction and Lyapunov Exponent
You will be introduced to the concept of state space reconstruction based on Taken's theorem. In addition, the mathematical basis of Lyapunov exponent will be introduced as well as two algorithms for its calculation for biological time series, Wolf's and Rosenstein's.
Day 4: Entropy and Surrogation
On day 4, there is a full discussion about entropy, the mathematical basis of entropy and why it has been "approximated" for use in biology. Different algorithms are discussed including: approximate, sample, and symbolic. In addition, this day includes a discussion of several algorithms of surrogation analysis.
Day 5: Recurrence Quantification Analysis
The last day of the week will cover recurrence quantification analysis as well as cross-recurrence quantification analysis.
Topics covered throughout the week:
- Lecture notes: lecture notes will be distributed during the course. 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.
- Laptops with necessary software are provided during the course of the workshop.
- Breakfast and snacks each day.
- $10/day for lunch to use on UNO's campus.
- Participants will be given a copy of software and slides.
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.
- 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 (firstname.lastname@example.org) to reserve on-campus housing by May 1, 2014. 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 2013).
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.
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.
Standard room has either a king size bed with a sofa bed pull out or two queen size beds. $109/night – (UNO rate)
2. Residence Inn Omaha
6990 Dodge Street
Omaha, NE 68132 USA
Within walking distance from UNO. Complimentary breakfast. On Monday, Tuesday, and Wednesday nights a complimentary evening social is included. Individual rooms - Standard room has a queen size bed with a sofa pull out and a complete kitchen.$105/night – (UNO rate) Suites – Suites will sleep 4 – 5 people comfortably.
3. More lodging near UNO (star denote workshop location):
1) Complimentary lunch on UNO Campus every day
2) BRB Lab visit social (Monday)
3) Downtown Omaha with provided transportation (Wednesday)
4) BBQ Party at Dr Stergiou’s (Thursday)
5) Pizza Party at BRB (Friday)
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 PE 9101 NONLINEAR ANALYSIS FOR MOVEMENT SCIENCES.
For participants outside UNO, the course fee* is $700 for graduate students (A letter from your advisor/mentor verifying that you are a student in an academic program must be submitted to Ms. Amanda Fletcher at email@example.com)) 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 June 30th, 2014. Registration cost includes breakfast and lunch on the UNO campus each day of the workshop, all PowerPoint slides presented, and software. Additionally laptops with necessary software are provided during the course of the workshop.
*The course fee is NOT refundable.