2nd Edition
Nonlinear Analysis for Human Movement Variability
- 1. Introduction
o Nick Stergiou PhD, Kolby J. Brink and Aaron D. Likens PhD
- 2. Time Series
o Sara A Myers PhD
- 3. State Space Reconstruction
o Shane R. Wurdeman, Tyler M. Wiles and Seung Kyeom Kim et
- 4. Lyapunov Exponent
o Tyler M. Wiles, Seung Kyeom Kim and Aaron D. Likens et al
- 5. An Introduction to Recurrence Quantification Analysis for Movement Scientists
o Aaron D. Likens, Kolby J. Brink and Alli A. Grunkemeyer et al
- 6. Surrogation
o Sara A Myers PhD
- 7. Autocorrelation Function, Mutual Information, and Correlation Dimension
o Nathaniel H. Hunt PhD
- 8. Movement is Rough and Irregular: An Introduction to Fractal Analysis
o Aaron D. Likens, Marilena Kalaitzi Manifrenti and Seung Kyeom Kim
- 9. Multifractal analysis: A window on the nonlinear release/constraint of degrees of freedom
o Damian G. Kelty-Stephen1 and David Farrokh
- 10. Multiscale probability density function analysis
o Damian G. Kelty-Stephen, Ken Kiyono and David Farrokh
- 11. Fractal Methods of Association
o Aaron D. Likens and Seung Kyeom Kim
- 12. Measuring Complexity: A Guided Tour of Information Focused Univariate Time Series Methods
o Aaron D. Likens, Seung Kyeom Kim and Marilena Kalaitzi-Manifrenti
- 13. Time-Frequency Analysis of Human Movement
o Aaron D. Likens and Marilena Kalaitzi-Manifrenti
- 14. Symbolic Regression: A Tool for Discovering Equations of Human Movement Dynamics
o Aaron D. Likens, Tyler Wiles and Seung Kyeom Kim
Biography
Nikolaos “Nick” Stergiou is the Distinguished Community Research Chair and Professor in Biomechanics at the University of Nebraska at Omaha (UNO), USA, where he also directs the Center for Research in Human Movement Variability. He is the Founding Chair of the first academic Department of Biomechanics offering BS, MS, and PhD degrees. A global authority on Nonlinear Dynamics and human movement variability, he has published over 250 peer-reviewed papers with 17,000+ citations. Dr. Stergiou is a Fellow of multiple prestigious organizations, including the American Association for the Advancement of Science. His research, funded by over $40 million from NIH, NASA, and others, has advanced surgical training and rehabilitation techniques. He spearheaded the creation of the world’s first Biomechanics Research Building and its expansion, supported by $17.6 million in private donations, solidifying UNO as a leader in biomechanics research.
Aaron D. Likens is an Associate Professor in the Department of Biomechanics and Director of the Quantitative Analysis Research Core at the Center for Research on Human Movement Variability (MOVCENTR) at the University of Nebraska at Omaha, USA. He earned his Ph.D. in Perception, Action, and Cognition from Arizona State University in 2016 and his research focuses on applying nonlinear dynamical systems theory, fractal analysis, and advanced statistical methods to study human movement variability, with applications in gait biomechanics, interpersonal coordination, and military load carriage. Dr. Likens has published over 40 peer-reviewed articles in prestigious journals and secured over $3 million in research funding from NIH, NSF, and the Department of Defense. He has developed innovative methods for analyzing behavioral time series and teaches courses in analytical methods for biomechanics.
