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Volumn 367, Issue 1891, 2009, Pages 1181-1193

Balancing with positive feedback: The case for discontinuous control

Author keywords

Discontinuous control; Noise; Positive feedback; Postural sway; Time delay

Indexed keywords

DELAY CONTROL SYSTEMS; STOCHASTIC MODELS; TIME DELAY;

EID: 60749114788     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2008.0257     Document Type: Article
Times cited : (68)

References (48)
  • 1
    • 0020362118 scopus 로고
    • The dynamics of production and destruction: Analytic insight into complex behavior
    • an der Heidcn, U. & Mackey, M. C. 1982 The dynamics of production and destruction: analytic insight into complex behavior. J. Math. Biol. 16, 75-101.
    • (1982) J. Math. Biol , vol.16 , pp. 75-101
    • an der Heidcn, U.1    Mackey, M.C.2
  • 2
    • 0000443058 scopus 로고
    • Oscillatory modes in a nonlinear second-order differential equation with delay
    • doi:10.1007/BF01054042
    • an der Heiden, U., Longtin, A., Mackey, M. C., Milton, J. G. & Scholl, R. 1990 Oscillatory modes in a nonlinear second-order differential equation with delay. J. Dyn. Diff. Equat. 2, 423-449. (doi:10.1007/BF01054042)
    • (1990) J. Dyn. Diff. Equat , vol.2 , pp. 423-449
    • an der Heiden, U.1    Longtin, A.2    Mackey, M.C.3    Milton, J.G.4    Scholl, R.5
  • 3
    • 34547636326 scopus 로고    scopus 로고
    • Delay-differential equations with discrete feedback: Explicit formulae for infinitely many coexisting periodic solutions
    • doi:10.1002/zamm. 200210329
    • Bayer, W. & an der Heiden, U. 2007 Delay-differential equations with discrete feedback: explicit formulae for infinitely many coexisting periodic solutions. Z. Angew. Math. Mech. 87, 471-479. (doi:10.1002/zamm. 200210329)
    • (2007) Z. Angew. Math. Mech , vol.87 , pp. 471-479
    • Bayer, W.1    an der Heiden, U.2
  • 4
    • 14544308785 scopus 로고    scopus 로고
    • When high-powered people fail: Working memory and "choking" under pressure
    • doi:10.1111/j.0956-7976.2005.00789.x
    • Beilock, J. L. & Carr, T. H. 2005 When high-powered people fail: working memory and "choking" under pressure. Psychol. Sci. 16, 101-105. (doi:10.1111/j.0956-7976.2005.00789.x)
    • (2005) Psychol. Sci , vol.16 , pp. 101-105
    • Beilock, J.L.1    Carr, T.H.2
  • 5
    • 28444435478 scopus 로고    scopus 로고
    • Body sway during quiet standing: Is it the residual chattering of an intermittent stabilization process?
    • doi:10.1016/j.humov.2005.07.006
    • Bottaro, A., Casadio, M., Morasso, P. G. & Sanguineti, V. 2005 Body sway during quiet standing: is it the residual chattering of an intermittent stabilization process? Hum. Mov. Sci. 24, 588-615. (doi:10.1016/j.humov.2005.07.006)
    • (2005) Hum. Mov. Sci , vol.24 , pp. 588-615
    • Bottaro, A.1    Casadio, M.2    Morasso, P.G.3    Sanguineti, V.4
  • 6
    • 7244257454 scopus 로고    scopus 로고
    • Human stick balancing: Tuning Lévy flights to improve balance control
    • doi:10.1063/1.1785453
    • Cabrera, J. L. & Milton, J. G. 2004 Human stick balancing: tuning Lévy flights to improve balance control. Chaos 14, 691-698. (doi:10.1063/1.1785453)
    • (2004) Chaos , vol.14 , pp. 691-698
    • Cabrera, J.L.1    Milton, J.G.2
  • 7
    • 33745946505 scopus 로고    scopus 로고
    • Neural control on multiple time scales: Insights from human stick balancing
    • Cabrera, J. L., Luciani, C. & Milton, J. 2006 Neural control on multiple time scales: insights from human stick balancing. Condens. Matter Phys. 2, 373-383.
    • (2006) Condens. Matter Phys , vol.2 , pp. 373-383
    • Cabrera, J.L.1    Luciani, C.2    Milton, J.3
  • 8
    • 0001114979 scopus 로고
    • Pinned polymer model of posture control
    • doi:10.1103/PhysRevE.52.907
    • Chow, C. C. & Collins, J. J. 1995 Pinned polymer model of posture control. Phys. Rev. E 52, 907-912. (doi:10.1103/PhysRevE.52.907)
    • (1995) Phys. Rev. E , vol.52 , pp. 907-912
    • Chow, C.C.1    Collins, J.J.2
  • 9
    • 0001178448 scopus 로고
    • Random walking during quiet standing
    • doi:10.1103/PhysRcvLett. 73.764
    • Collins, J. J. & De Luca, C. J. 1994 Random walking during quiet standing. Phys. Rev. Lett. 73, 764-767. (doi:10.1103/PhysRcvLett. 73.764)
    • (1994) Phys. Rev. Lett , vol.73 , pp. 764-767
    • Collins, J.J.1    De Luca, C.J.2
  • 10
    • 60749094914 scopus 로고    scopus 로고
    • A methodological note on non-linear time series analysis: Is Collins and De Luca (1993)'s open- and closed-loop model a statistical artifact?
    • Delignières, D., Deschamps, T., Legros, A. & Caillou, N. 2003 A methodological note on non-linear time series analysis: is Collins and De Luca (1993)'s open- and closed-loop model a statistical artifact? J. Motor Behav. 35, 1-9.
    • (2003) J. Motor Behav , vol.35 , pp. 1-9
    • Delignières, D.1    Deschamps, T.2    Legros, A.3    Caillou, N.4
  • 11
    • 0032123660 scopus 로고    scopus 로고
    • Microchaotic motion of digitally controlled machines
    • doi:10.1177/107754639800400405
    • Enikov, E. & Stépán, G. 1998 Microchaotic motion of digitally controlled machines. J. Vibrat. Control 4, 427-443. (doi:10.1177/107754639800400405)
    • (1998) J. Vibrat. Control , vol.4 , pp. 427-443
    • Enikov, E.1    Stépán, G.2
  • 12
    • 0001723273 scopus 로고    scopus 로고
    • Noise-induced transitions in human postural sway
    • doi:10.1103/PhysRevE. 54.6681
    • Eurich, C. W. & Milton, J. G. 1996 Noise-induced transitions in human postural sway. Phys. Rev. E 54, 6681-6684. (doi:10.1103/PhysRevE. 54.6681)
    • (1996) Phys. Rev. E , vol.54 , pp. 6681-6684
    • Eurich, C.W.1    Milton, J.G.2
  • 15
    • 0000905238 scopus 로고    scopus 로고
    • Noise, multistability and delayed recurrent loops
    • doi:10.1103/PhysRevE.55.4536
    • Foss, J., Moss, F. & Milton, J. 1997 Noise, multistability and delayed recurrent loops. Phys. Rev. E 55, 4536-4543. (doi:10.1103/PhysRevE.55.4536)
    • (1997) Phys. Rev. E , vol.55 , pp. 4536-4543
    • Foss, J.1    Moss, F.2    Milton, J.3
  • 16
    • 27244434621 scopus 로고    scopus 로고
    • Delay Fokker-Planck equations, Novikov's theorem, and Boltzmann distributions as small delay approximations
    • doi:10.1103/PhysRevE.72.011112
    • Frank, T. D. 2005 Delay Fokker-Planck equations, Novikov's theorem, and Boltzmann distributions as small delay approximations. Phys. Rev. E 72, 011112. (doi:10.1103/PhysRevE.72.011112)
    • (2005) Phys. Rev. E , vol.72 , pp. 011112
    • Frank, T.D.1
  • 17
    • 0017353816 scopus 로고
    • Response of primate joint afferent neurons to mechanical stimulation of knee joint
    • doi:10.1159/000102427
    • Grigg, P. & Greenspan, B. J. 1977 Response of primate joint afferent neurons to mechanical stimulation of knee joint. J. Neurophysiol. 40, 1-8. (doi:10.1159/000102427)
    • (1977) J. Neurophysiol , vol.40 , pp. 1-8
    • Grigg, P.1    Greenspan, B.J.2
  • 18
    • 0042678022 scopus 로고    scopus 로고
    • Metastability for delay differential equations
    • doi:10.1103/PhysRevE.60.6230
    • Grotta-Ragazzo, C., Pakdaman, K. & Malta, C. P. 1999 Metastability for delay differential equations. Phys. Rev. E 60, 6230-6233. (doi:10.1103/PhysRevE.60.6230)
    • (1999) Phys. Rev. E , vol.60 , pp. 6230-6233
    • Grotta-Ragazzo, C.1    Pakdaman, K.2    Malta, C.P.3
  • 19
    • 0029255636 scopus 로고
    • A robust hybrid stabilization strategy for equilibria
    • doi: 10.1109/9.341802
    • Guckhenheimer, J. 1995 A robust hybrid stabilization strategy for equilibria. IEEE Trans. Autom. Control 40, 321-326. (doi: 10.1109/9.341802)
    • (1995) IEEE Trans. Autom. Control , vol.40 , pp. 321-326
    • Guckhenheimer, J.1
  • 20
    • 0000451312 scopus 로고    scopus 로고
    • Micro-chaos in digital control
    • doi:10. 1007/BF02440161
    • Haller, G. & Stépán, G. 1996 Micro-chaos in digital control. J. Nonlin. Sci. 6, 415-448. (doi:10. 1007/BF02440161)
    • (1996) J. Nonlin. Sci , vol.6 , pp. 415-448
    • Haller, G.1    Stépán, G.2
  • 22
    • 0023780272 scopus 로고
    • Bistability of α-motoncurones in the decerebrate cat and in the acute spinal cat after intravenous 5-hydroxytryptophan
    • Hounsgaard, J., Hultborn, H., Jespersen, B. & Kiehn, O. 1988 Bistability of α-motoncurones in the decerebrate cat and in the acute spinal cat after intravenous 5-hydroxytryptophan, J. Physiol. 405, 345-367.
    • (1988) J. Physiol , vol.405 , pp. 345-367
    • Hounsgaard, J.1    Hultborn, H.2    Jespersen, B.3    Kiehn, O.4
  • 23
    • 33747679416 scopus 로고    scopus 로고
    • Act-and-wait concept for continuous-time control systems with feedback delay
    • doi:10.1109/TCST.2006.876938
    • Insperger, T. 2006 Act-and-wait concept for continuous-time control systems with feedback delay. IEEE Trans. Control Syst, Technol. 14, 974-977. (doi:10.1109/TCST.2006.876938)
    • (2006) IEEE Trans. Control Syst, Technol , vol.14 , pp. 974-977
    • Insperger, T.1
  • 24
    • 0034906857 scopus 로고    scopus 로고
    • Interdependence of nonoverlapping cortical systems in dual cognitive tasks
    • doi:10.1006/nimg.2001. 0826
    • Just, M. A., Carpenter, P. A., Keller, T. A., Emery, L., Zajac, H. & Thulborn, K. R. 2001 Interdependence of nonoverlapping cortical systems in dual cognitive tasks. Neuroimage 14, 417-426. (doi:10.1006/nimg.2001. 0826)
    • (2001) Neuroimage , vol.14 , pp. 417-426
    • Just, M.A.1    Carpenter, P.A.2    Keller, T.A.3    Emery, L.4    Zajac, H.5    Thulborn, K.R.6
  • 25
    • 0001755583 scopus 로고
    • Random walk and the theory of Brownian motion
    • doi:10.2307/230438C
    • Kac, M. 1947 Random walk and the theory of Brownian motion. Am. Math. Mon. 54, 369-391. (doi:10.2307/230438C)
    • (1947) Am. Math. Mon , vol.54 , pp. 369-391
    • Kac, M.1
  • 26
    • 33645989159 scopus 로고    scopus 로고
    • Slow dynamics of postural sway are in the feedback loop
    • doi:10.1152/jn.01144.2004
    • Kiemel, T., Oie, K. S. & Jeka, J. J. 2004 Slow dynamics of postural sway are in the feedback loop. J. Neurophysiol. 95, 1410-1418. (doi:10.1152/jn.01144.2004)
    • (2004) J. Neurophysiol , vol.95 , pp. 1410-1418
    • Kiemel, T.1    Oie, K.S.2    Jeka, J.J.3
  • 28
    • 0001087201 scopus 로고
    • Noise and critical behavior of the pupil light reflex at oscillation onset
    • doi:10.1103/PhysRevA.41.6992
    • Longtin, A., Milton, J. G., Bos, J. E. & Mackey, M. C. 1990 Noise and critical behavior of the pupil light reflex at oscillation onset. Phys. Rev. A 41, 6992-7005. (doi:10.1103/PhysRevA.41.6992)
    • (1990) Phys. Rev. A , vol.41 , pp. 6992-7005
    • Longtin, A.1    Milton, J.G.2    Bos, J.E.3    Mackey, M.C.4
  • 29
    • 0036588349 scopus 로고    scopus 로고
    • Human balancing of an inverted pendulum: Position control by small, ballistic-like, throw and catch movements
    • doi:10.1113/jphysiol.2001.013077
    • Loram, I. D. & Lakic, M. 2002 Human balancing of an inverted pendulum: position control by small, ballistic-like, throw and catch movements. J. Physiol. 540, 1111-1124. (doi:10.1113/jphysiol.2001.013077)
    • (2002) J. Physiol , vol.540 , pp. 1111-1124
    • Loram, I.D.1    Lakic, M.2
  • 30
    • 17444412715 scopus 로고    scopus 로고
    • Active, non-spring-like muscle movements in human postural sway: How might paradoxical changes in muscle length be produced?
    • doi:10.1113/jphysiol.2004.073437
    • Loram, I. D., Maganaris, C. N. & Lakie, M. 2005a Active, non-spring-like muscle movements in human postural sway: how might paradoxical changes in muscle length be produced? J. Physiol. 564, 281-293. (doi:10.1113/jphysiol.2004.073437)
    • (2005) J. Physiol , vol.564 , pp. 281-293
    • Loram, I.D.1    Maganaris, C.N.2    Lakie, M.3
  • 31
    • 17444365483 scopus 로고    scopus 로고
    • Human postural sway results from frequent, ballistic bias impulses by soleus and gastroencmius
    • doi:10.1113/jphysiol. 2004.076307
    • Loram, I. D., Maganaris, C. N. & Lakie, M. 2005b Human postural sway results from frequent, ballistic bias impulses by soleus and gastroencmius. J. Physiol. 564, 295-311. (doi:10.1113/jphysiol. 2004.076307)
    • (2005) J. Physiol , vol.564 , pp. 295-311
    • Loram, I.D.1    Maganaris, C.N.2    Lakie, M.3
  • 32
    • 33750743698 scopus 로고    scopus 로고
    • The frequency of human, manual adjustments in balancing an inverted pendulum is constrained by intrinsic physiological factors
    • doi:10.1113/jphysiol.2006.118786
    • Loram, I. D., Gawthrop, P. J. & Lakie, M. 2006 The frequency of human, manual adjustments in balancing an inverted pendulum is constrained by intrinsic physiological factors. J. Physiol. 577, 417-432. (doi:10.1113/jphysiol.2006.118786)
    • (2006) J. Physiol , vol.577 , pp. 417-432
    • Loram, I.D.1    Gawthrop, P.J.2    Lakie, M.3
  • 33
    • 0000126226 scopus 로고
    • Solution multistability in first order nonlinear delay differential equations
    • doi:10.1063/l. 165982
    • Losson, J., Mackey, M. C. & Longtin, A. 1993 Solution multistability in first order nonlinear delay differential equations. Chaos 3, 167-176. (doi:10.1063/l. 165982)
    • (1993) Chaos , vol.3 , pp. 167-176
    • Losson, J.1    Mackey, M.C.2    Longtin, A.3
  • 34
    • 0025351050 scopus 로고
    • Evaluation of pupil constriction and dilation from cycling measurements
    • doi:10.101G/0042-G989(90)90063-Q
    • Milton, J. G. & Longtin, A. 1990 Evaluation of pupil constriction and dilation from cycling measurements. Vision Res. 30, 515-525. (doi:10.101G/0042-G989(90)90063-Q)
    • (1990) Vision Res , vol.30 , pp. 515-525
    • Milton, J.G.1    Longtin, A.2
  • 35
    • 0024976331 scopus 로고
    • Complex dynamics and bifurcations in neurology
    • doi:10.1016/S0022-5193(89)80135-3
    • Milton, J. G., Longtin, A., Beuter, A., Mackey, M. C. & Glass, L. 1989 Complex dynamics and bifurcations in neurology. J. Theor. Biol. 138, 129-147. (doi:10.1016/S0022-5193(89)80135-3)
    • (1989) J. Theor. Biol , vol.138 , pp. 129-147
    • Milton, J.G.1    Longtin, A.2    Beuter, A.3    Mackey, M.C.4    Glass, L.5
  • 36
    • 33947176184 scopus 로고    scopus 로고
    • The mind of expert motor performance is cool and focused
    • doi:10.1016/j.neuroimage.2007.01.003
    • Milton, J. G., Solodkin, A., Hlustik, P. & Small, S. L. 2007 The mind of expert motor performance is cool and focused. Neuroimage 35, 804-813. (doi:10.1016/j.neuroimage.2007.01.003)
    • (2007) Neuroimage , vol.35 , pp. 804-813
    • Milton, J.G.1    Solodkin, A.2    Hlustik, P.3    Small, S.L.4
  • 37
    • 79051469306 scopus 로고    scopus 로고
    • Unstable dynamical systems: Delays, noise and control
    • doi:10.1209/0295-5075/83/48001
    • Milton, J. G., Cabrera, J. L. & Ohira, T. 2008 Unstable dynamical systems: delays, noise and control. Europhys. Lett. 83, 48 001. (doi:10.1209/0295-5075/83/48001)
    • (2008) Europhys. Lett , vol.83 , pp. 48-4001
    • Milton, J.G.1    Cabrera, J.L.2    Ohira, T.3
  • 38
    • 0031023949 scopus 로고    scopus 로고
    • Stochastic processes in postural center-of-pressure profiles
    • doi:10.1007/BF02454152
    • Newell, K. M., Slobounov, S. M., Slobounova, E. S. & Molenaar, P. C. M. 1997 Stochastic processes in postural center-of-pressure profiles. Exp. Brain Res. 113, 158-164. (doi:10.1007/BF02454152)
    • (1997) Exp. Brain Res , vol.113 , pp. 158-164
    • Newell, K.M.1    Slobounov, S.M.2    Slobounova, E.S.3    Molenaar, P.C.M.4
  • 39
    • 33244489249 scopus 로고
    • Delayed random walks
    • doi:10.1103/PhysRevE.52.3277
    • Ohira, T. & Milton, J. G. 1995 Delayed random walks. Phys. Rev. E 52, 3277-3280. (doi:10.1103/PhysRevE.52.3277)
    • (1995) Phys. Rev. E , vol.52 , pp. 3277-3280
    • Ohira, T.1    Milton, J.G.2
  • 40
    • 85020836098 scopus 로고    scopus 로고
    • Delayed random walks: Investigating the interplay between noise and delay
    • In press, eds B. Balachandran, T. Kalmár-Nagy & D. E. Gilsinn, New York, NY: Springer
    • Ohira, T. & Milton, J. In press. Delayed random walks: investigating the interplay between noise and delay. In Delay differential equations: recent advances and new directions (eds B. Balachandran, T. Kalmár-Nagy & D. E. Gilsinn). New York, NY: Springer.
    • Delay differential equations: Recent advances and new directions
    • Ohira, T.1    Milton, J.2
  • 41
    • 0000255892 scopus 로고    scopus 로고
    • Delayed stochastic systems
    • doi:10. 1103/PhysRevE.61.1247
    • Ohira, T. & Yamane, T. 2000 Delayed stochastic systems. Phys. Rev. E 61, 1247-1257. (doi:10. 1103/PhysRevE.61.1247)
    • (2000) Phys. Rev. E , vol.61 , pp. 1247-1257
    • Ohira, T.1    Yamane, T.2
  • 42
    • 0001266424 scopus 로고    scopus 로고
    • Transient regime duration in continuoustime in neural networks with delay
    • doi:10.1103/PhysRevE.58. 3623
    • Pakdaman, K., Groota-Ragazzo, C. & Malta, C. P. 1998 Transient regime duration in continuoustime in neural networks with delay. Phys. Rev. E 58, 3623-3627. (doi:10.1103/PhysRevE.58. 3623)
    • (1998) Phys. Rev. E , vol.58 , pp. 3623-3627
    • Pakdaman, K.1    Groota-Ragazzo, C.2    Malta, C.P.3
  • 43
    • 0027733755 scopus 로고
    • Thixotropy in skeletal muscle and in muscle spindles: A review
    • doi:10.1016/0301-0082(93)90032-N
    • Proske, U., Morgan, D. L. & Gregory, J. E. 1993 Thixotropy in skeletal muscle and in muscle spindles: a review. Prog. Neurobiol. 41, 705-721. (doi:10.1016/0301-0082(93)90032-N)
    • (1993) Prog. Neurobiol , vol.41 , pp. 705-721
    • Proske, U.1    Morgan, D.L.2    Gregory, J.E.3
  • 44
    • 34447560063 scopus 로고    scopus 로고
    • Synaptic amplification versus bistability in motorneuron dendritic processing: A top-down modeling approach
    • doi:10. 1152/jn.00084.2007
    • Shapiro, N. P. & Lee, R. H. 2007 Synaptic amplification versus bistability in motorneuron dendritic processing: a top-down modeling approach. J. Neurophysiol. 97, 3948-3960. (doi:10. 1152/jn.00084.2007)
    • (2007) J. Neurophysiol , vol.97 , pp. 3948-3960
    • Shapiro, N.P.1    Lee, R.H.2
  • 46
    • 0034143394 scopus 로고    scopus 로고
    • Balancing with reflex delay
    • doi:10.1016/S0895-7177(00)00039-X
    • Stépán, G. & Kollár, L. 2000 Balancing with reflex delay. Math. Camp. Modell. 31, 199-205. (doi:10.1016/S0895-7177(00)00039-X)
    • (2000) Math. Camp. Modell , vol.31 , pp. 199-205
    • Stépán, G.1    Kollár, L.2
  • 47
    • 0021672124 scopus 로고
    • Parametric analysis of dynamic postural responses
    • doi:10.1007/BF0034G137
    • Werness, S. A. & Anderson, D. J. 1984 Parametric analysis of dynamic postural responses. Biol. Cyhern. 51, 155-168. (doi:10.1007/BF0034G137)
    • (1984) Biol. Cyhern , vol.51 , pp. 155-168
    • Werness, S.A.1    Anderson, D.J.2
  • 48
    • 17744387337 scopus 로고    scopus 로고
    • Delayed stochastic differential model for quiet standing
    • doi:10.1103/PhysRcvE.63.021902
    • Yao, W., Yu, P. & Essex, C. 2001 Delayed stochastic differential model for quiet standing. Phys. Rev. E 63, 021 902. (doi:10.1103/PhysRcvE.63.021902)
    • (2001) Phys. Rev. E , vol.63 , pp. 021-902
    • Yao, W.1    Yu, P.2    Essex, C.3


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