References
- 류지선1(2006). 노인 보행 시 발과 경골 Coupling 패턴과 Variability. 한국체육학회지 45(1). 747-756
- 류지선(2006). 노인보행 시 지면 반력 신호의 주파수 크기와 Variability 비교. 한국체육학회지 자연과학편 45(5), 457-464
- Abarbanel, H.D.I(1996). Analysis of Observed Chaotic Data. Springer-Verlag, NewYork, NY
- Bay, J.S., & Hemami, H. (1987). Modeling of a netural pattern generator with coupled nonlinear oscillators, IEEE Trans. Biomedical Engineering, 34(4), 297-306 https://doi.org/10.1109/TBME.1987.326091
- Buzzi, U.H., Stergiou, N., Kurz, M., Hageman, P.A., & Heidel, J. (2003). Nonlinear dynamics indicates aging affects variability during gait. Clinical Biomechanics 18, 435-443 https://doi.org/10.1016/S0268-0033(03)00029-9
- Collins, J.J. & Stewart, I.N. (1993). Coupled nonlinear oscillators and the symmetries of animal gaits, Journal of Nonlinear Science. 3, 349-392 https://doi.org/10.1007/BF02429870
- Collins, J.J. & Stewart, I.N. (1994). A group-theoretic approach to rings of coupled biological oscillators, Biological Cybernetics. 71, 95- 103 https://doi.org/10.1007/BF00197312
- Dingwell, J.B., & Cusumano, J.P. (2000). Nonlinear time series analysis of normal and pathological human walking. Chaos 10(4), 848-863 https://doi.org/10.1063/1.1324008
- Dingwell, J.B., Cusumano, J.P., Sternad, D., & Cavanagh, P.R (2000). Slower speeds in patients with diabetic neuropathy lead to improved local dynamics stability of continuous overground walking. Journal of Biomechanics 3. 1269-1277
- Diedrich, F.J., & Warren, W.H. (1995). Why change gaits? Dynamics of the walk-run transition. Journal of Experience Psychology, 21, 183-202
- Fraser, A.M. (1986). Using mutual information to estimate metric entropy. In: Mayer-Kress, G.(Ed), Dimensions and Entropies in Chaotic Systems. Springer, Berlin, 82-91
- Goldberger, A., Bhargava, V., West, B., & Mandell, A.J. (1986). Some observations on the question: is ventricular fibrillation' chaos'? Physica 19, 282-289
- Goldberger, A.L., Rigney, D.R., Metus, J., et al. (1998). Nonlinear dynamics in sudden cardiac death syndrome: heart rate oscillations and bifurcations. Experientia 41, 983-987
- Guimaraes, R.M., Isaacs, B. (1980). Characteristics of gait in old people who fall. Int. Rehabilitation Medicine, 2, 177-180 https://doi.org/10.3109/09638288009163984
- Hausdorff, J.M., Forman, D.E., Ladin, Z.(1994). Increased walking variability in elderly persons with congestive heart failure. Journal of American Geriatr Sociology, 42, 1056-1061 https://doi.org/10.1111/j.1532-5415.1994.tb06209.x
- Hausdorff, J.M., Rios D.A., & Edeberg, H.K. (2001). Gait variability and fall risk in community -living older adults: a '1-year prospective study. Arch Physical Medicine Rehabilitation, 82, 1050-6 https://doi.org/10.1053/apmr.2001.24893
- Hausdorff, J.M., Mitchell, S.L., Firtion, R., Peng. C.K., Cudkowicz, M.E. Wei, J.Y., and Goldberger,A.L.(1997). Alterred fractal dynamics of gait: Reduced stride interval correlations with aging and Huntington's disease, Journal of Applied Physiology, 82(1), 262-269 https://doi.org/10.1152/jappl.1997.82.1.262
- Heiderscheit, B.C., Hamill, J., & Van Emmerik, R.E.A. (2002). Variability of stride characteristics and joint coordination among individuals with unilateral patellofemoral pain. Journal of Applied Biomechanics, 18, 110 -121 https://doi.org/10.1123/jab.18.2.110
- Holt, K.G., Jeng, S.F., Ratcliffe, R., & Hamill, J.(1995). Energetic cost and stability during human walking at the preferred stride frequency. Journal of Motor Behavior 27(2), 164-178 https://doi.org/10.1080/00222895.1995.9941708
- Jeng, S.F., Liao, H.F., Lai,J.S., & Hou, J.W. (1997). Optimization of walking in children. Medicine & Science in Sports & Exercise, 29, 370-376 https://doi.org/10.1097/00005768-199703000-00012
- Kantz, H., Schreiber, S. (1997). Nonlinear time series analysis. Cambrige University Press, Cambridge, UK
- Kaplan, D. T. & Glass, L.(1995). Understanding Nonlinear Dynamics, Springer-Verlag, New York
- Kennel, M. B., Brown, R., and Abarbanel.(1992). Determining minimum embedding dimension using a geometrical construction, Physical Review. A45, 3403-3411
- Maki, B.E. (1997). Gait changes in older adults: predictors of falls or indicators of fear? Journal of the American Geriatric Society 45, 313-320 https://doi.org/10.1111/j.1532-5415.1997.tb00946.x
- Pool, R. (1989). Is it healthy to be chaotic? Science 243, 604-607 https://doi.org/10.1126/science.2916117
- Sauer, T., Yorke, J.A., & Casdagli, M. (1991). Embedology. Journal of Statistical Physics 65(3/4), 579-616 https://doi.org/10.1007/BF01053745
- Sekiya, N., Nagasaki, H., Ito, H., & Furuna, T. (1997). Optimal walking in terms of variability in step length. Journal of Orthopedics Sports Physical Therapy, 27, 266-272
- Taga, G. (1995). A model of the neuromusculoskeletal system for human locomotion I: Emergence of basic gait, Biological Cybernetics, 73(2), 97-111 https://doi.org/10.1007/BF00204048
- Takens, F. (1981). Detecting strange attractors in turbulence. In: Rand, D., Young, L.S.(Eds.), Dynamical system; and Turbulence, Warwick (1980). Springer, Berlin V. 898, 366-381
- Walter, S.D., Hart, L.E., Sutton, J. R., & Mcintosh, J.M., & Gauld, M. (1988). Training habits and injury experience in distance runners, age and sex related factors. The Physician and Sportsmedicine, 16, 101 https://doi.org/10.1080/00913847.1988.11709531
- Wmter, D.A. (1983). Biomechanical motor patterns in normal walking. Journal of Motor Behavior 15(4), 302-330 https://doi.org/10.1080/00222895.1983.10735302
- Winter, D.A.(1989). Biomechanics of normal & pathological gait: Implications for understanding human locomotion control. Journal of Motor Behav. 21, 337-355 https://doi.org/10.1080/00222895.1989.10735488
- Wolf, A., Swift, J.B., Swinny, H.L., Vastano, J.A.,(1985). Determining Lyapunov exponents from a titre series. Physica 16, 285-317
- Yack, J., Berger, R.C.,(1993). Dynamics stability in the elderly. identifying a possible measure. Journals of Gerontology: Medical Science 48(5), M225-M230 https://doi.org/10.1093/geronj/48.5.M225