B. Amblard, C. Assaiante, M. Vaugoyeau, G. Baroni, G. Ferrigno et al., Voluntary head stabilisation in space during oscillatory trunk movements in the frontal plane performed before, during and after a prolonged period of weightlessness, Exp. Brain Res, vol.137, pp.170-179, 2001.
URL : https://hal.archives-ouvertes.fr/hal-01989719

B. Amblard, C. , and A. , Role of foveal and peripheral visual information in maintenance of postural equilibrium in man, Percept. Mot. Skills, vol.51, pp.903-912, 1980.

B. Amblard, C. , and J. , Rôle de l'information visuelle du mouvement dans le maintien de l'eÌ ? Aquilibre postural chez l'homme, Agressologie, vol.17, pp.26-36, 1976.

B. Amblard, J. Crémieux, A. R. Marchand, C. , and A. , Lateral orientation and stabilization of human stance: static versus dynamic visual cues, Exp. Brain Res, vol.61, pp.21-37, 1985.

C. Assaiante, A. , and B. , Ontogenesis of head stabilization in space during locomotion in children: influence of visual cues, Exp. Brain Res, vol.93, pp.499-515, 1993.
URL : https://hal.archives-ouvertes.fr/hal-01989748

C. Assaiante, A. , and B. , An ontogenetic model for the sensorimotor organization of balance control in humans, Hum. Mov. Sci, vol.14, pp.13-43, 1995.

L. Assländer, G. Hettich, and T. Mergner, Visual contribution to human standing balance during support surface tilts, Hum. Mov. Sci, vol.41, pp.147-164, 2015.

B. G. Bardy, L. Marin, T. A. Stoffregen, and R. J. Bootsma, Postural coordination modes considered as emergent phenomena, J. Exp. Psychol, vol.25, pp.1284-1301, 1999.
DOI : 10.1037//0096-1523.25.5.1284

E. Batschelet, Circular Statistics in Biology, 1981.

B. Baumberger, B. Isableu, and M. Flückiger, The visual control of stability in children and adults: postural readjustments in a ground optical flow, Exp. Brain Res, vol.159, pp.33-46, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00580056

A. Berencsi, M. Ishihara, and K. Imanaka, The functional role of central and peripheral vision in the control of posture, Hum. Mov. Sci, vol.24, pp.689-709, 2005.

R. Bizid, P. , and T. , Les activités posturales de footballeurs de niveau national diffèrent-elles entre les attaquants et les défenseurs ?, Sci. Sports, vol.21, pp.23-25, 2006.
DOI : 10.1016/j.scispo.2005.12.003

R. A. Brady, B. T. Peters, C. D. Batson, R. Ploutz-snyder, A. P. Mulavara et al., Gait adaptability training is affected by visual dependency, Exp. Brain Res, vol.220, pp.1-9, 2012.
DOI : 10.1007/s00221-012-3109-5

L. Bringoux, L. Marin, V. Nougier, P. A. Barraud, and C. Raphel, Effects of gymnastics expertise on the perception of body orientation in the pitch dimension, J. Vestib. Res, vol.10, pp.251-258, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00193908

L. Bringoux, C. Scotto-di-cesare, L. Borel, T. Macaluso, and F. R. Sarlegna, Do visual and vestibular inputs compensate for somatosensory loss in the perception of spatial orientation? Insights from a deafferented patient, Front. Hum. Neurosci, vol.10, p.181, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01412210

A. Byström, M. Rhodin, K. Peinen, M. A. Weishaupt, R. et al., Basic kinematics of the saddle and rider in high-level dressage horses trotting on a treadmill, Equine Vet. J, vol.41, pp.280-284, 2009.

A. Byström, L. Roepstroff, K. Geser-von-peinen, M. A. Weishaupt, R. et al., Differences in rider movement pattern between different degrees of collection at the trot in high-level dressage horses ridden on a treadmill, Hum. Mov. Sci, vol.41, pp.1-8, 2015.

J. Callier, S. Oysel, I. Hausmann, and N. Tordi, Equilibre statique bipodal sous deux conditions visuelles en fonction du sexe chez des gymnasts de 910 ans, Nouveauté Conceptuelles Instrumentales et Clinique, pp.65-69, 2001.

R. G. Carson, D. Goodman, D. Elliott, and J. A. Kelso, Asymmetries in the dynamics of interlimb coordination, Adv. Psychol, vol.111, pp.255-288, 1995.

G. Clément, T. Pozzo, and A. Berthoz, Contribution of eye positioning to control of the upside-down standing posture, Exp. Brain Res, vol.73, pp.569-576, 1988.

J. J. Collins, D. Luca, and C. J. , The effects of visual input on open-loop and closed-loop postural control mechanisms, Exp. Brain Res, vol.103, pp.151-163, 1995.

J. Crémieux, M. , and S. , Differential sensitivity to static visual cues in the control of postural equilibrium in man, Percept. Mot. Skills, vol.78, pp.67-74, 1994.

F. Eckardt and K. Witte, Kinematic analysis of the rider according to different skill levels in sitting trot and canter, J. Equine Vet. Sci, vol.39, pp.51-57, 2016.

M. T. Engell, H. M. Clayton, A. Egenvall, M. A. Weishaupt, R. et al., Postural changes and their effects in elite riders when actively influencing the horse versus sitting passively at trot, Comp. Exerc. Physiol, vol.12, pp.27-33, 2016.
DOI : 10.3920/cep150035

P. Era, N. Konttinenf, P. Mehto, P. Saarela, and H. Lyytinent, Postural stability and skilled performance-a study on top-level and naive rifle shooters, J. Biomech, vol.29, pp.66-72, 1996.

K. A. Ericsson, R. T. Krampe, and C. Tesch-römer, The role of deliberate practice in the acquisition of expert performance, Psychol. Rev, vol.100, pp.363-406, 1993.

K. A. Ericsson and A. C. Lehmann, Expert and exceptional performance: evidence of maximal adaptation to task constraints, Annu. Rev. Psychol, vol.47, pp.273-305, 1996.

E. Faugloire, B. G. Bardy, O. Merhi, and T. A. Stoffregen, Exploring coordination dynamics of the postural system with real-time visual feedback, Neurosci. Lett, vol.374, pp.136-141, 2005.

E. Faugloire, B. G. Bardy, and T. A. Stoffregen, The dynamics of learning new postural patterns, J. Mot. Behav, vol.38, pp.299-312, 2006.

E. Faugloire, B. G. Bardy, and T. A. Stoffregen, De)Stabilization of required and spontaneous postural dynamics with learning, J. Exp. Psychol, vol.35, pp.170-187, 2009.

H. Forssberg and H. Hirschfeld, Postural adjustments in sitting humans following external perturbations: muscle activity and kinematics, Exp. Brain Res, vol.97, pp.515-527, 1994.

P. Galloux, N. Richard, T. Dronka, M. Leard, A. Perrot et al., Analysis of equine gait using three-dimensional accelerometers fixed on the saddle, Equine Vet. J, pp.44-47, 1994.

G. Gautier, L. Marin, D. Leroy, and R. Thouvarecq, Dynamics of expertise level: coordination in handstand, Hum. Mov. Sci, vol.28, pp.129-140, 2009.
URL : https://hal.archives-ouvertes.fr/hal-01982131

G. Gautier, R. Thouvarecq, and N. Vuillerme, Postural control and perceptive configuration: influence of expertise in gymnastics, Gait Posture, vol.28, pp.46-51, 2008.

E. Golomer, J. Crémieux, P. Dupui, B. Isableu, and T. Ohlmann, Visual contribution to self-induced body sway frequencies and visual perception of male professional dancers, Neurosci. Lett, vol.267, pp.189-192, 1999.

M. A. Gresty and A. M. Bronstein, Visually controlled spatial stabilisation of the human head: compensation for the eye's limited ability to roll, Neurosci. Lett, vol.140, pp.63-66, 1992.

M. Gueguen, N. Vuillerme, and B. Isableu, Does the integration of haptic and visual cues reduce the effect of a biased visual reference frame on the subjective head orientation?, PLoS ONE, vol.7, p.34380, 2012.

M. Guerraz, C. C. Gianna, P. M. Burchill, M. A. Gresty, and A. M. Bronstein, Effect of visual surrounding motion on body sway in a three-dimensional environment, Percept. Psychophys, vol.63, pp.47-58, 2001.

A. Guillot, C. , and C. , Field dependence-independence in complex motor skills, Percept. Mot. Skills, vol.98, pp.575-583, 2004.

S. H. Hosseinimehr, A. A. Norasteh, A. Abbasi, M. K. Tazji, and S. H. Hosseinimehr, The comparision of dependency on vision and proprioception in gymnastic, wrestling and soccer, Braz. J. Biomotr, vol.3, pp.332-338, 2009.

B. Isableu, B. Fourre, N. Vuillerme, G. Giraudet, and M. A. Amorim, Differential integration of visual and kinaesthetic signals to upright stance, Exp. Brain Res, vol.212, pp.33-46, 2011.

B. Isableu, T. Ohlmann, J. Crémieux, A. , and B. , Selection of spatial frame of reference and postural control variability, Exp. Brain Res, vol.114, pp.584-589, 1997.
URL : https://hal.archives-ouvertes.fr/hal-00580059

B. Isableu, T. Ohlmann, J. Crémieux, A. , and B. , Differential approach to strategies of segmental stabilisation in postural control, Exp. Brain Res, vol.150, pp.208-221, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00580057

B. Isableu, T. Ohlmann, J. Cremieux, N. Vuillerme, B. Amblard et al., Individual differences in the ability to identify, select and use appropriate frames of reference for perceptuo-motor control, Neuroscience, vol.169, pp.1199-1215, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00580045

M. Janura, Z. Svoboda, L. Cabell, T. Dvoráková, J. et al., Effect of repeated therapeutic horse riding sessions on the trunk movement of the rider, Neuroendocrinol. Lett, vol.36, pp.481-489, 2015.

O. Kang, Y. Ryu, C. Ryew, W. Oh, C. Lee et al., Comparative analyses of rider position according to skill levels during walk and trot in Jeju horse, Hum. Mov. Sci, vol.29, pp.956-963, 2010.

J. A. Kelso, J. , and J. J. , Symmetry breaking dynamics of human multilimb coordination, J. Exp. Psychol, vol.18, pp.645-668, 1992.

J. A. Kelso, Phase transitions and critical behavior in human bimanual coordination, Am. J. Physiol, vol.15, pp.1000-1004, 1984.

J. A. Kelso, J. J. Buchanan, W. , and S. A. , Order parameters for the neural organization of single, multijoint limb movement patterns, Exp. Brain Res, vol.85, pp.432-444, 1991.

E. A. Keshner, Head-trunk coordination during linear anterior-posterior translations, J. Neurophysiol, vol.89, pp.1891-1901, 2003.

E. A. Keshner, Head-trunk coordination in elderly subjects during linear anterior-posterior translations, Exp. Brain Res, vol.158, pp.213-222, 2004.

J. Kluzik, F. B. Horak, and R. J. Peterka, Differences in preferred reference frames for postural orientation shown by after-effects of stance on an inclined surface, Exp. Brain Res, vol.162, pp.474-489, 2005.

J. Lagarde, C. Peham, T. Licka, and J. A. Kelso, Coordination dynamics of the horse-rider system, J. Mot. Behav, vol.37, pp.418-424, 2005.

M. Laurent, P. , and J. , Contribution à l'étude de pointage locomoteur, Application au saut en longueur et au saut d'obstacles en équitation, STAPS, vol.5, pp.1-13, 1982.

M. Laurent, R. D. Phung, R. , and H. , What visual information is used by riders in jumping?, Hum. Mov. Sci, vol.8, pp.481-501, 1989.

D. N. Lee and J. R. Lishman, Visual and proprioceptive control of stance, J. Hum. Mov. Stud, vol.1, pp.87-95, 1975.

W. Liu, Field dependence-independence and sports with a preponderance of closed or open skill, J. Sport Behav, vol.26, pp.285-297, 2003.

M. Luyat, T. Olhmann, and P. A. Barraud, Subjective vertical and postural activity, Acta Psychol. (Amst), vol.95, pp.181-193, 1997.
URL : https://hal.archives-ouvertes.fr/hal-00332329

K. V. Mardia, J. , and P. E. , Directional Statistics, 2000.

L. Marin, B. G. Bardy, and R. J. Bootsma, Level of gymnastic skill as an intrinsic constraint on postural coordination, J. Sports Sci, vol.17, pp.615-626, 1999.

A. Münz, F. Eckardt, C. Heipertz-hengst, C. Peham, and K. Witte, A preliminary study of an inertial sensor-based method for the assessment of human pelvis kinematics in dressage riding, J. Equine Vet. Sci, vol.33, pp.950-955, 2013.

A. Münz, F. Eckardt, and K. Witte, Horse-rider interaction in dressage riding, Hum. Mov. Sci, vol.33, pp.227-237, 2014.

L. M. Nashner and G. Mccollum, The organization of human postural movements: a formal basis and experimental synthesis, Behav. Brain Sci, vol.8, pp.135-150, 1985.

K. M. Newell, R. E. Van-emmerik, D. Lee, and R. L. Sprague, On postural stability and variability, Gait Posture, vol.1, pp.225-230, 1993.

H. Nyborg and B. O. Isaksen, A method for analysing performance in the rod-and-frame test. II Test of the Statistical Model, Scand. J. Psychol, vol.15, pp.124-126, 1974.

K. S. Oie, T. Kiemel, J. , and J. J. , Human multisensory fusion of vision and touch: detecting non-linearity with small changes in the sensory environment, Neurosci. Lett, vol.315, pp.113-116, 2001.

A. Olivier, E. Faugloire, S. Biau, L. Lejeune, and B. Isableu, Sensibilité proprioceptive et stabilité de la tête: marqueur d'expertise chez les cavaliers, Institut Français du Cheval et de l'équitation, ed Actes de la 38ème Journée de la Recherche Équine: Sport de haut niveau, pp.119-127, 2012.

P. Oltman, A portable rod and frame apparatus, Percept. Mot. Skills, vol.26, pp.503-506, 1968.

J. Paillard, Les déterminants moteurs de l'organisation spatiale, Cahiers Psychol, vol.14, pp.261-316, 1971.

T. Paillard, E. Margnes, M. Portet, and A. Breucq, Postural ability reflects the athletic skill level of surfers, Eur. J. Appl. Physiol, vol.111, pp.1619-1623, 2011.

T. Paillard, F. Noé, T. Riviere, and M. Vincent, Postural performance and strategy in the unipedal stance of soccer players at different levels of competition, J. Athl. Train, vol.41, pp.172-176, 2006.

W. M. Paulus, A. Straube, and T. H. Brandt, Visual stabilization of posture, Brain, vol.107, pp.1143-1163, 1984.

B. Pavard, A. Berthoz, L. , and F. , Rôle de la vision périphérique dans l'évaluation du mouvement linéaire interaction visuo-vestibulaire et effets posturaux, Le Travail Humain, vol.39, pp.115-138, 1976.

C. Peham, T. Licka, H. Schobesberger, and E. Meschan, Influence of the rider on the variability of the equine gait, Hum. Mov. Sci, vol.23, pp.663-671, 2004.

P. Perrin, D. Schneider, D. Deviterne, C. Perrot, and L. Constantinescu, Training improves the adaptation to changing visual conditions in maintaining human posture control in a test of sinusoidal oscillation of the support, Neurosci. Lett, vol.245, pp.155-158, 1998.

C. Perrot, R. Moes, D. Deviterne, and P. Perrin, Adaptation posturales lors de gestuelles spécifiques aux sports de combat, Sci. Sports, vol.13, pp.64-74, 1998.

R. J. Peterka, Sensorimotor integration in human postural control, J. Neurophysiol, vol.88, pp.1097-1118, 2002.

T. Pozzo, A. Berthoz, and L. Lefort, Head stabilization during various locomotor tasks in humans, Exp. Brain Res, vol.82, pp.97-106, 1990.

H. Ripoll, C. Bard, P. , and J. , Stabilization of head and eyes on target as a factor in successful basketball shooting, Hum. Mov. Sci, vol.5, issue.86, pp.90005-90014, 1986.

G. Robert, N. Gueguen, P. Avogadro, and L. Mouchnino, Anticipatory balance control is affected by loadless training experiences, Hum. Mov. Sci, vol.23, pp.169-183, 2004.

P. Rougier, E. Zanders, and E. Borlet, Influence of visual cues on upright postural control: differentiated effects of eyelids closure, Rev. Neurol, vol.159, pp.180-188, 2003.

C. Rousseu, C. , and J. , Perception de l'orientation visuelle chez des experts en taekwondo, STAPS, vol.65, pp.79-96, 2005.

M. Schmid, L. Casabianca, A. Bottaro, and M. Schieppati, Graded changes in balancing behavior as a function of visual acuity, Neuroscience, vol.153, pp.1079-1091, 2008.

M. B. Silva-e-borges, M. J. Werneck, S. Da, M. Silva, . De-l.-da et al., Therapeutic effects of a horse riding simulator in children with cerebral palsy, Arq. Neuropsiquiatr, vol.69, pp.799-804, 2011.

J. C. Slaboda, R. T. Lauer, and E. A. Keshner, Continuous visual field motion impacts the postural responses of older and younger women during and after support surface tilt, Exp. Brain Res, vol.211, pp.87-96, 2011.

K. Stambolieva, V. Diafas, V. Bachev, L. Christova, and P. Gatev, Postural stability of canoeing and kayaking young male athletes during quiet stance, Eur. J. Appl. Physiol, vol.112, pp.1807-1815, 2011.

S. H. Strogatz, Nonlinear dynamics and chaos, 1994.

K. Terada, Comparison of head movement and EMG activity of muscles between advanced and novice horseback riders at different gaits, J. Equine Sci, vol.11, pp.83-90, 2000.

K. Terada, D. R. Mullineaux, J. Lanovaz, K. Kato, C. et al., Electromyographic analysis of the rider's muscles at trot, Equine Comp. Exerc. Physiol, vol.1, pp.193-198, 2004.

B. Vereijken, R. E. Van-emmerik, R. Bongaardt, W. J. Beek, and K. M. Newell, Changing coordinative structures in complex skill acquisition, Hum. Mov. Sci, vol.16, pp.823-844, 1997.

N. Vibert, H. G. Macdougall, C. De-waele, D. P. Gilchrist, A. M. Burgess et al., Variability in the control of head movements in seated humans: a link with whiplash injuries?, J. Physiol. (Lond), vol.532, pp.851-868, 2001.

E. Vitte, T. Pozzo, and D. Soulie, Equilibre et équilibration, Méd. Sport, vol.69, pp.177-180, 1995.

N. Vuillerme, F. Danion, L. Marin, A. Boyadjian, J. M. Prieur et al., The effect of expertise in gymnastics on postural control, Neurosci. Lett, vol.303, pp.83-86, 2001.
URL : https://hal.archives-ouvertes.fr/hal-00193910

N. Vuillerme, N. Teasdale, and V. Nougier, The effect of expertise in gymnastics on proprioceptive sensory integration in human subjects, Neurosci. Lett, vol.311, pp.73-76, 2001.
URL : https://hal.archives-ouvertes.fr/hal-00193904

D. A. Winter, F. Prince, and A. Patla, Validity of the inverted pendulum model of balance in quiet standing, Gait Post, vol.5, pp.153-154, 1997.

H. A. Witkin, Individual differences in ease of perception of embedded figures, J. Pers, vol.19, pp.1-15, 1950.

I. A. Wolframm, J. Bosga, and R. G. Meulenbroek, Coordination dynamics in horse-rider dyads, Hum. Mov. Sci, vol.32, pp.157-170, 2013.

J. I. Yamanishi, M. Kawato, and R. Suzuki, Two coupled oscillators as a model for the coordinated finger tapping by both hands, Biol. Cybern, vol.37, pp.219-225, 1980.

P. G. Zanone and J. A. Kelso, Evolution of behavioral attractors with learning: nonequilibrium phase transitions, J. Exp. Psychol, vol.18, p.403, 1992.

P. Zoccolotti, G. Antonucci, and D. Spinelli, The gap between rod and frame influences the rod-and-frame effect with small and large inducing displays, Percept. Psychophys, vol.54, pp.14-19, 1993.

, Conflict of Interest Statement: The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest

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