References
- Alton, F., Baldey, L., Caplan, S. & Morrissey, M. (1998). A kinematic comparison of overground and treadmill walking. Clinical Biomechanics, 13(6), 434-440. https://doi.org/10.1016/S0268-0033(98)00012-6
- Baker, G. L., Baker, G. L. & Gollub, J. P. (1996). Chaotic dynamics: an introduction: Cambridge university press.
- Bizovska, L., Svoboda, Z., Janura, M., Bisi, M. C. & Vuillerme, N. (2018). Local dynamic stability during gait for predicting falls in elderly people: A one-year prospective study. PloS One, 13(5), e0197091. https://doi.org/10.1371/journal.pone.0197091
- Broomhead, D. S. & King, G. P. (1986). Extracting qualitative dynamics from experimental data. Physica D: Nonlinear Phenomena, 20(2-3), 217-236. https://doi.org/10.1016/0167-2789(86)90031-X
- Buzzi, U. H., Stergiou, N., Kurz, M. J., Hageman, P. A. & Heidel, J. (2003). Nonlinear dynamics indicates aging affects variability during gait. Clinical Biomechanics, 18(5), 435-443. https://doi.org/10.1016/S0268-0033(03)00029-9
- Chakraborty, S. & Nandy, A. (2018). Comparison of Local Dynamic Stability of Treadmill Gait Data in Three Different Planes Through Maximal Lyapunov Exponent. Paper presented at the 2018 International Conference on Computing, Power and Communication Technologies (GUCON).
- CONTINI, R., Gage, H. & DRILLIS, R. (1965). Human gait characteristics. In Biomechanics and Related Bio-Engineering Topics (pp. 413-431), Elsevier.
- Dananberg, H. J. (2000). Sagittal plane biomechanics. American Diabetes Association. Journal of the American Podiatric Medical Association, 90(1), 47-50. https://doi.org/10.7547/87507315-90-1-47
- de Morais Filho, M. C., Kawamura, C. M., Andrade, P. H., Dos Santos, M. B., Pickel, M. R. & Neto, R. B. (2009). Factors associated with pelvic asymmetry in transverse plane during gait in patients with cerebral palsy. Journal of Pediatric Orthopaedics B, 18(6), 320-324. https://doi.org/10.1097/BPB.0b013e32832e9599
- Dingwell, J. B., Cusumano, J. P., Sternad, D. & Cavanagh, P. R. (2000). Slower speeds in patients with diabetic neuropathy lead to improved local dynamic stability of continuous overground walking. Journal of Biomechanics, 33(10), 1269-1277. https://doi.org/10.1016/S0021-9290(00)00092-0
- Dingwell, J. B. & Marin, L. C. (2006). Kinematic variability and local dynamic stability of upper body motions when walking at different speeds. Journal of Biomechanics, 39(3), 444-452. https://doi.org/10.1016/j.jbiomech.2004.12.014
- Ekizos, A., Santuz, A., Schroll, A. & Arampatzis, A. (2018). The maximum Lyapunov exponent during walking and running: reliability assessment of different marker-sets. Frontiers in Physiology, 9, 1101. https://doi.org/10.3389/fphys.2018.01101
- Fraser, A. M. & Swinney, H. L. (1986). Independent coordinates for strange attractors from mutual information. Physical Review A, 33(2), 1134. https://doi.org/10.1103/PhysRevA.33.1134
- Goswami, A., Thuilot, B. & Espiau, B. (1998). A study of the passive gait of a compass-like biped robot: Symmetry and chaos. The International Journal of Robotics Research, 17(12), 1282-1301. https://doi.org/10.1177/027836499801701202
- Howcroft, J., Kofman, J., Lemaire, E. D. & McIlroy, W. E. (2016). Analysis of dual-task elderly gait in fallers and non-fallers using wearable sensors. Journal of Biomechanics, 49(7), 992-1001. https://doi.org/10.1016/j.jbiomech.2016.01.015
- Huijben, B., Van Schooten, K., Van Dieen, J. & Pijnappels, M. (2018). The effect of walking speed on quality of gait in older adults. Gait & Posture, 65, 112-116.
- Kang, H. G. & Dingwell, J. B. (2008). Effects of walking speed, strength and range of motion on gait stability in healthy older adults. Journal of Biomechanics, 41(14), 2899-2905. https://doi.org/10.1016/j.jbiomech.2008.08.002
- Kantz, H. (1994). A robust method to estimate the maximal Lyapunov exponent of a time series. Physics Letters A, 185(1), 77-87. https://doi.org/10.1016/0375-9601(94)90991-1
- Kantz, H. & Schreiber, T. (2004). Nonlinear time series analysis (Vol. 7): Cambridge university press.
- Kennel, M. B., Brown, R. & Abarbanel, H. D. (1992). Determining embedding dimension for phase-space reconstruction using a geometrical construction. Physical Review A, 45(6), 3403. https://doi.org/10.1103/PhysRevA.45.3403
- Leteneur, S., Gillet, C., Sadeghi, H., Allard, P. & Barbier, F. (2009). Effect of trunk inclination on lower limb joint and lumbar moments in able men during the stance phase of gait. Clinical Biomechanics, 24(2), 190-195. https://doi.org/10.1016/j.clinbiomech.2008.10.005
- Lockhart, T. E. & Liu, J. (2008). Differentiating fall-prone and healthy adults using local dynamic stability. Ergonomics, 51(12), 1860-1872. https://doi.org/10.1080/00140130802567079
- Mehdizadeh, S. (2018). The largest Lyapunov exponent of gait in young and elderly individuals: A systematic review. Gait & Posture, 60, 241-250. https://doi.org/10.1016/j.gaitpost.2017.12.016
- Mehdizadeh, S. & Sanjari, M. A. (2017). Effect of noise and filtering on largest Lyapunov exponent of time series associated with human walking. Journal of Biomechanics, 64, 236-239. https://doi.org/10.1016/j.jbiomech.2017.09.009
- Mohler, B. J., Thompson, W. B., Creem-Regehr, S. H., Pick, H. L. & Warren, W. H. (2007). Visual flow influences gait transition speed and preferred walking speed. Experimental Brain Research, 181(2), 221-228. https://doi.org/10.1007/s00221-007-0917-0
- Nalley, T. K. & Grider-Potter, N. (2019). Vertebral morphology in relation to head posture and locomotion I: The cervical spine. Spinal Evolution, 35-50.
- Park, S. H. & Kim, J. T. (2004). Comparision and analysis about gait parameters based on personality types through MBTI Test. Korean Journal of Sport Biomechanics, 14(3), 37-47. https://doi.org/10.5103/KJSB.2004.14.3.037
- Raffalt, P. C., Senderling, B. & Stergiou, N. (2020). Filtering affects the calculation of the largest Lyapunov exponent. Computers in Biology and Medicine, 122, 103786. https://doi.org/10.1016/j.compbiomed.2020.103786
- Rethlefsen, S. A. & Kay, R. M. (2013). Transverse plane gait problems in children with cerebral palsy. Journal of Pediatric Orthopaedics, 33(4), 422-430. https://doi.org/10.1097/bpo.0b013e3182784e16
- Riley, P. O., Paolini, G., Della Croce, U., Paylo, K. W. & Kerrigan, D. C. (2007). A kinematic and kinetic comparison of overground and treadmill walking in healthy subjects. Gait & Posture, 26(1), 17-24. https://doi.org/10.1016/j.gaitpost.2006.07.003
- Roberts, A. (2010). Gait analysis: normal and pathological function J. Perry and JM Burnfield Pp. 576. Thorofare: SLACK Incorporated, 2010. ISBN: 978-1-55642-766-4. $92.95. In: The British Editorial Society of Bone and Joint Surgery.
- Rosenstein, M. T., Collins, J. J. & De Luca, C. J. (1993). A practical method for calculating largest Lyapunov exponents from small data sets. Physica D: Nonlinear Phenomena, 65(1-2), 117-134. https://doi.org/10.1016/0167-2789(93)90009-P
- Ryu, J. S. (2019). Effects of Muscle Activation Pattern and Stability of the Lower Extremity's Joint on Falls in the Elderly Walking-Half a Year Prospective Study. Korean Journal of Sport Biomechanics, 29(2), 79-88. https://doi.org/10.5103/KJSB.2019.29.2.79
- Smith, V. A. (2019). Standardizing the Calculation of the Lyapunov Exponent for Human Gait using Inertial Measurement Units. Arizona State University.
- Takens, F. (1981). Detecting strange attractors in turbulence. In Dynamical systems and turbulence, Warwick 1980 (pp. 366-381): Springer.
- Terrier, P. & Reynard, F. (2015). Effect of age on the variability and stability of gait: a cross-sectional treadmill study in healthy individuals between 20 and 69 years of age. Gait & Posture, 41(1), 170-174. https://doi.org/10.1016/j.gaitpost.2014.09.024
- Thompson, J. & Stewart, H. (1986). Nonlinear Dynamics and Chaos John Wiley & Sons. New York.
- van Schooten, K. S., Pijnappels, M., Rispens, S. M., Elders, P. J., Lips, P. & van Dieen, J. H. (2015). Ambulatory fall-risk assessment: amount and quality of daily-life gait predict falls in older adults. Journals of Gerontology Series A: Biomedical Sciences and Medical Sciences, 70(5), 608-615. https://doi.org/10.1093/gerona/glu225
- Vaughan, C. L., Davis, B. L. & O'connor, J. C. (1992). Dynamics of human gait: Human Kinetics Publishers.
- Wolf, A., Swift, J. B., Swinney, H. L. & Vastano, J. A. (1985). Determining Lyapunov exponents from a time series. Physica D: Nonlinear Phenomena, 16(3), 285-317. https://doi.org/10.1016/0167-2789(85)90011-9