Dynamics of a bouncing ball in human performance

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 63, Issue 1 I, 2001, Pages 011902-011901

  Sternad, Dagmar ^a   Duarte, Marcos ^b   Katsumata, Hiromu ^a   Schaal, Stefan ^c  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF SÃO PAULO   (Brazil)

^c University of Southern California ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HUMAN ENGINEERING; MATHEMATICAL MODELS;

BOUNCING BALLS;

BEHAVIORAL RESEARCH;

ALGORITHM; BIOLOGICAL MODEL; HUMAN; MOVEMENT (PHYSIOLOGY); PHYSICAL PHENOMENA; PHYSICS; REPRODUCIBILITY; STATISTICAL MODEL; TENNIS; THEORETICAL MODEL; TIME;

ALGORITHMS; HUMANS; MODELS, BIOLOGICAL; MODELS, STATISTICAL; MODELS, THEORETICAL; MOVEMENT; PHYSICAL PHENOMENA; PHYSICS; REPRODUCIBILITY OF RESULTS; TENNIS; TIME FACTORS;

EID: 17744373467     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.011902     Document Type: Article

References (16)

1. N. B. Tufillaro, T. Abbott, and J. Reilly, An Experimental Approach to Nonlinear Dynamics and Chaos (Addison-Wesley, Redwood City, CA, 1992), and references therein; J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamic Systems, and Bifurcations of Vector Fields (Springer, New York, 1983).
2. N. B. Tufillaro, T. Abbott, and J. Reilly, An Experimental Approach to Nonlinear Dynamics and Chaos (Addison-Wesley, Redwood City, CA, 1992), and references therein; J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamic Systems, and Bifurcations of Vector Fields (Springer, New York, 1983).
3. E. Fermi, Phys. Rev. 75, 1169 (1949).
4. M.-O. Hongler, P. Cartier, and P. Flury, Phys. Lett. A 135, 106 (1989).
5. S. Celaschi and R. L. Zimmermann, Phys. Lett. A 120, 447 (1987); C. R. de Oliveira and P. S. Goncalves, Phys. Rev. E 56, 4868 (1997).
6. S. Celaschi and R. L. Zimmermann, Phys. Lett. A 120, 447 (1987); C. R. de Oliveira and P. S. Goncalves, Phys. Rev. E 56, 4868 (1997).
7. S. Schaal and C. G. Atkeson, IEEE International Conference on Robotics and Automation, Atlanta 1993 (IEEE, Piscataway, NJ, 1993), Vol. 3, p. 913.
8. S. Schaal, D. Sternad, and C. G. Atkeson, J. Motor Behavior 28, 165 (1996).
9. P. J. Beek and M. T. Turvey, J. Exp. Psychol. Hum. Percept Perform 18, 934 (1992).
10. A. J. Lichtenberg and M. A. Lieberman, Physica D 1, 291 (1980).
11. P. Pieransky and R. Bartolino, J. Phys. (France) 46, 687 (1985).
12. In this experiment we calculated median and quartile range instead of mean and standard deviations, as the small data sets sometimes did not satisfy the assumption of a normal distribution. The median is defined as that score point at or below which 50% of the data fall. The quartile range is the dispersion estimate, which is defined as the range of the variable where 25% of the data above and 25% data below the median fall.
13. E. A. Jackson, Perspectives in Nonlinear Dynamics (Cambridge University Press, New York, 1989), Vol. 1.
14. V. I. Arnol'd, Geometrical Methods in the Theory of Ordinary Differential Equations (Springer, Berlin, 1983).
15. T. -C. Chen, Linear Systems Theory and Design (Holt, Rinehart and Winston, Orlando, FL, 1984).
16. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in C - The Art of Scientific Computing (Cambridge University Press, Cambridge, MA, 1988).