Dynamics of coordination in cross-country skiing.

The aim of the present study was to identify modes of coordination in cross-country skiing from a dynamical systems perspective. Participants (N=8) skied on a treadmill using classical techniques with varying steepness (i.e., 0 degrees-7 degrees). Coordination was evaluated in terms of the relative frequency and relative phase between upper arms and thighs. Results revealed that the limb movements were systematically attracted towards low integer frequency ratios (i.e., 1:1 and 2:1) and in-phase (phi approximately 0 degrees ) and anti-phase relationships (phi approximately 180 degrees). The increase in steepness produced shifts between the attractive modes of limb movements and a loss of stability was observed during transitions. These results suggest that principles of coordination between limbs in cross-country skiing are akin to those of non-linear coupled oscillators, as documented for a broad range of motor activities. Yet, differences with such classical findings are discussed reflecting the specific biomechanical constraints of cross-country skiing.

[1]  Peter J. Beek,et al.  Frequency locking, frequency modulation, and bifurcations in dynamic movement systems , 1992 .

[2]  W. H. Warren,et al.  Why change gaits? Dynamics of the walk-run transition. , 1995, Journal of experimental psychology. Human perception and performance.

[3]  Douglas G. Stuart,et al.  Neural Control of Locomotion , 1976, Advances in Behavioral Biology.

[4]  G Schöner,et al.  A synergetic theory of quadrupedal gaits and gait transitions. , 1990, Journal of theoretical biology.

[5]  Richard E.A. van Emmerik,et al.  Dynamics of pathological gait , 1994 .

[6]  J. Kelso,et al.  Nonequilibrium phase transitions in coordinated biological motion: critical fluctuations , 1986 .

[7]  H Ekström The Force Interplay Between the Foot, Binding, and Ski in Cross-Country Skiing , 1987 .

[8]  Stephan P. Swinnen,et al.  Coordination constraints induced by effector combination under isofrequency and multifrequency conditions. , 1997 .

[9]  A. Opstal Dynamic Patterns: The Self-Organization of Brain and Behavior , 1995 .

[10]  D J Serrien,et al.  Interactive processes during interlimb coordination: Combining movement patterns with different frequency ratios , 1998, Psychological research.

[11]  Paavo V. Komi,et al.  Exercise and sport biology , 1982 .

[12]  Michael T. Turvey,et al.  Resonance Constraints on Rhythmic Movement , 1993 .

[13]  P. N. Kugler,et al.  Patterns of human interlimb coordination emerge from the properties of non-linear, limit cycle oscillatory processes: theory and data. , 1981, Journal of motor behavior.

[14]  P. Beek,et al.  Coordination Between Arm and Leg Movements During Locomotion , 2001, Journal of motor behavior.

[15]  Per Tveit,et al.  Cross‐Country Skiing , 2004, Sports biomechanics.

[16]  G A Smith,et al.  Biomechanics of Crosscountry Skiing , 1990, Sports medicine.

[17]  Peter J. Beek,et al.  Dynamical Models of Movement Coordination , 1995 .

[18]  Thomas Stöggl,et al.  Biomechanical analysis of double poling in elite cross-country skiers. , 2005, Medicine and science in sports and exercise.

[19]  Tutorials in motor behaviour II Edited by George E. Stelmach and Jpean Requin. Elsevier Science Publishers, 1992. , 1994, Neuropsychologia.

[20]  P. Komi,et al.  Preloading of the thrust phase in cross-country skiing. , 1987, International journal of sports medicine.

[21]  G. A. Smith Cross‐Country Skiing: Technique, Equipment and Environmental Factors Affecting Performance , 2008 .

[22]  Peter J. Beek,et al.  Frequency-induced phase transitions in bimanual tapping , 1995, Biological Cybernetics.

[23]  Dagmar Sternad,et al.  Dynamics of 1:2 Coordination: Temporal Scaling, Latent 1:1, and Bistability. , 1999, Journal of motor behavior.

[24]  G. Street Technological advances in cross-country ski equipment. , 1992, Medicine & Science in Sports & Exercise.

[25]  J. Kelso,et al.  Symmetry breaking dynamics of human multilimb coordination. , 1992, Journal of experimental psychology. Human perception and performance.

[26]  J A Kelso,et al.  Dynamic pattern generation in behavioral and neural systems. , 1988, Science.

[27]  Dagmar Sternad,et al.  Dynamics of 1:2 Coordination: Sources of Symmetry Breaking. , 1999, Journal of motor behavior.

[28]  Karl M. Newell,et al.  Variability and Motor Control , 1993 .

[29]  Dagmar Sternad,et al.  Dynamics of 1:2 Coordination: Generalizing Relative Phase to n:m Rhythms. , 1999, Journal of motor behavior.

[30]  久保 亮五,et al.  H. Haken: Synergetics; An Introduction Non-equilibrium Phase Transitions and Self-Organization in Physics, Chemistry and Biology, Springer-Verlag, Berlin and Heidelberg, 1977, viii+325ページ, 251×17.5cm, 11,520円. , 1978 .

[31]  P G Zanone,et al.  Evolution of behavioral attractors with learning: nonequilibrium phase transitions. , 1992, Journal of experimental psychology. Human perception and performance.

[32]  Gerald A. Smith Biomechanics of Cross Country Skiing , 2008 .

[33]  G. Stelmach,et al.  Tutorials in motor neuroscience , 1991 .

[34]  M. Casey,et al.  Winter sports medicine , 1991 .

[35]  B Abernethy,et al.  Note: A statistical problem in testing invariance of movement using the phase plane model. , 1991, Journal of motor behavior.

[36]  R C Wagenaar,et al.  Effects of walking velocity on relative phase dynamics in the trunk in human walking. , 1996, Journal of biomechanics.

[37]  Paolo Cavallari,et al.  Preferential coupling between voluntary movements of ipsilateral limbs , 1982, Neuroscience Letters.

[38]  Michael F. Shlesinger,et al.  Dynamic patterns in complex systems , 1988 .

[39]  J. Kelso,et al.  Nonequilibrium phase transitions in coordinated biological motion: Critical slowing down and switching time , 1987 .

[40]  P G Weyand,et al.  Does the application of ground force set the energetic cost of cross-country skiing? , 1998, Journal of applied physiology.

[41]  R. van Emmerik,et al.  Resonant frequencies of arms and legs identify different walking patterns. , 2000, Journal of biomechanics.

[42]  Paavo V. Komi,et al.  Force Measurements during Cross-Country Skiing , 1987 .

[43]  G. Ermentrout Dynamic patterns: The self-organization of brain and behavior , 1997 .

[44]  P. Cavallari,et al.  Differential control of in-phase and anti-phase coupling of rhythmic movements of ipsilateral hand and foot , 2004, Experimental Brain Research.

[45]  Gregor Schöner,et al.  A dynamic pattern theory of behavioral change , 1988 .

[46]  P. N. Kugler,et al.  Patterns of human interlimb coordination emerge from the properties of non-linear, limit cycle oscillatory processes: theory and data. , 1981, Journal of motor behavior.

[47]  P. V. Wieringen,et al.  Coupling strength in tapping a 2:3 polyrhythm , 1995 .

[48]  Heikki Rusko,et al.  Cross country skiing : handbook of sports medicine and science , 2003 .

[49]  H. Haken,et al.  A theoretical model of phase transitions in human hand movements , 2004, Biological Cybernetics.

[50]  Peter J. Beek,et al.  Bifurcations in Polyrhythmic Tapping: In Search of Farey Principles , 1991 .

[51]  Philip E. Martin,et al.  Gait Transitions Are Not Dependent on Changes in Intralimb Coordination Variability , 2003, Journal of motor behavior.

[52]  E. Batschelet Circular statistics in biology , 1981 .

[53]  D J Serrien,et al.  Intentional switching between behavioral patterns of homologous and nonhomologous effector combinations. , 1999, Journal of experimental psychology. Human perception and performance.

[54]  Joseph Hamill,et al.  Coordination variability around the walk to run transition during human locomotion. , 2006, Motor control.

[55]  R. Kretchmar Exercise and Sport Science , 1989 .

[56]  W. J. Beek,et al.  Hemiplegic gait: a kinematic analysis using walking speed as a basis. , 1992, Journal of biomechanics.