Three people can synchronize as coupled oscillators during sports activities

PLoS Computational Biology

Volumn 7, Issue 10, 2011, Pages

  Yokoyama, Keiko ^a,b,c   Yamamoto, Yuji ^a  

^a NAGOYA UNIVERSITY   (Japan)

^b JAPAN SOCIETY FOR THE PROMOTION OF SCIENCE   (Japan)

^c HOKKAIDO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

GROUP THEORY; HOPF BIFURCATION; OSCILLATORS (ELECTRONIC); OSCILLATORS (MECHANICAL); SPORTS;

ANTIPHASE; BIOLOGICAL OSCILLATORS; COUPLED OSCILLATORS; GEOMETRICAL SYMMETRIES; HOPF BIFURCATION THEORY; INTERNAL MODELS; PHASE PLANE; SPATIOTEMPORAL PATTERNS; SPORTS ACTIVITY; SYMMETRICS;

SYNCHRONIZATION;

ADULT; ARTICLE; BEHAVIOR THEORY; CONTROLLED STUDY; COOPERATION; DEPTH PERCEPTION; FEMALE; HUMAN; HUMAN EXPERIMENT; MALE; OSCILLATION; SPORT; SYNCHRONIZATION; TASK PERFORMANCE; TIME PERCEPTION; ANIMAL; ATHLETIC PERFORMANCE; BIOLOGICAL MODEL; BIOLOGICAL RHYTHM; BIOLOGY; INTERPERSONAL COMMUNICATION; MOVEMENT (PHYSIOLOGY); NONLINEAR SYSTEM; PHYSIOLOGY; TIME;

ANIMALIA; MYXOGASTRIA;

ANIMALS; ATHLETIC PERFORMANCE; BIOLOGICAL CLOCKS; COMMUNICATION; COMPUTATIONAL BIOLOGY; FEMALE; HUMANS; MALE; MODELS, BIOLOGICAL; MOVEMENT; NONLINEAR DYNAMICS; SOCCER; SPORTS; TIME FACTORS; YOUNG ADULT;

EID: 80055085381     PISSN: 1553734X     EISSN: 15537358     Source Type: Journal    
DOI: 10.1371/journal.pcbi.1002181     Document Type: Article

References (29)

1. Strogatz SH, (2003) SYNC: The Emerging Science of Spontaneous Order. New York Hyperion.
2. Pikovsky A, Rosenblum M, Kurths J, (2001) Synchronization: a universal concept in nonlinear sciences. New York Cambridge University Press.
3. Neda Z, Ravasz E, Brechet Y, Vicsek T, Barábasi AL, (2000) The sound of many hands clapping. Nature 403: 849-850.
4. Neda Z, Ravasz E, Vicsek T, Brechet Y, Barabási A, (2000) Physics of the rhythmic applause. Phys Rev E 61: 6987-6992.
5. Strogatz SH, Abrams DM, McRobie A, Eckhardt B, Ott E, (2005) Crowd synchrony on the millennium bridge. Nature 438: 43-44.
6. Schmidt RC, Carello C, Turvey MT, (1990) Phase transitions and critical fluctuations in the visual coordination of rhythmic movements between people. J Exp Psychol: Hum Percept Perform 16: 227-247.
7. Amazeen PG, Schmidt RC, Turvey MT, (1995) Frequency detuning of the phase entrainment dynamics of visually coupled rhythmic movements. Biol Cybern 72: 511-518.
8. Schmidt RC, Christianson N, Carello C, Baron R, (1994) Effects of social and physical variables on between-person visual coordination. Ecol Psychol 6-3: 159-183.
9. Schmidt RC, Turvey MT, (1994) Phase-entrainment dynamics of visually coupled rhythmic movements. Biol Cybern 70: 369-376.
10. Schmidt RC, O'Brien B, (1997) Evaluating the dynamics of unintended interpersonal coordination. Ecol Psychol 9: 189-206.
11. Aihara I, Kitahata H, Yoshikawa K, Aihara K, (2008) Mathematical modeling of frogs' calling behaviour and its possible application to artificial life and robotics. Artif Life Robotics 12: 29-32.
12. Kuramoto Y, Nishikawa I, (1987) Statistical macrodynamics of large dynamical systems: Case of a phase transition in oscillator communities. J Stat Phys 49: 569-605.
13. Golubitsky M, Stewart IN, (2002) The symmetry perspective. Basel (Switzerland) Birkhause Verlag.
14. Collins JJ, Stewart IN, (1992) Symmetry-breaking bifurcation: a possible mechanism for 2:1 frequency-locking in animal locomotion. J Math Biol 30: 827-838.
15. Collins JJ, Stewart IN, (1993) Coupled nonlinear oscillators and symmetries of animal gaits. J Nonlinear Sci 3: 349-392.
16. Collins JJ, Stewart IN, (1993) Hexapodal gaits and coupled nonlinear oscillator models. Biol Cybern 68: 287-298.
17. Collins JJ, Stewart IN, (1994) A group-theoretic approach to rings of coupled biological oscillators. Biol Cybern 71: 95-103.
18. Golubitsky M, Stewart I, Buono PL, Collins JJ, (1998) A modular network for legged locomotion. Physica D 115: 56-72.
19. Golubitsky M, Stewart I, Buono PL, Collins JJ, (1999) Symmetry in locomotor central pattern generators and animal gaits. Nature 401: 693-694.
20. Schöner G, Jiang WY, Kelso JAS, (1990) A synergetic theory of quadruped gaits and gait transitions. J Theor Biol 142: 359-391.
21. Takamatsu A, Tanaka R, Yamada H, Nakagaki T, Fujii T, et al. (2001) Spatiotemporal symmetry in rings of coupled biological oscillators of physarum plasmodial slime mold. Phys Rev Lett 87: 078102.
22. Takamatsu A, Tanaka R, Fujii T, (2004) Hidden symmetry in chains of biological coupled oscillators. Phys Rev Lett 92: 228102.
23. Nakayama M, (2008) The effects of play area size as task constraints on soccer pass skills. Football Sci 5: 1-6.
24. Yoshimoto M, Yoshikawa K, Mori Y, (1993) Coupling among three chemical oscillators: synchronization, phase death, and frustration. Phys Rev E 47: 864-874.
25. Jeka JJ, Kelso JAS, Kiemel T, (1993) Spontaneous transitions and symmetry: pattern dynamics in human four-limb coordination. Hum Mov Sci 12: 627-651.
26. Turvey MT, (2007) Action and perception at the level of synergies. Hum Mov Sci 26: 657-697.
27. Yamamoto Y, Gohara K, (2000) Continuous hitting movements modeled from the perspective of dynamical systems with temporal input. Hum Mov Sci 19: 341-371.
28. Yamamoto Y, (2004) An alternative approach to the acquisition of a complex motor skill: multiple movement training on tennis strokes. Int J Sport Health Sci 2: 169-179.
29. Crespo M, (2009) Tennis coaching in the era of dynamic systems. J Med Sci Tennis 14: 20-25.