Invariant structure in locomotion

Biological systems are hypothesized to control behavior with reference to invariants, because this would allow the variable but robust accomplishment of tasks observed in biological behaviors. Invariants for legged locomotion are specified. Combined with observed properties of locomotion, they lead to predictions of forms of control for legged locomotion.

[1]  J. Abbs,et al.  Control of complex motor gestures: orofacial muscle responses to load perturbations of lip during speech. , 1984, Journal of neurophysiology.

[2]  P. H. Greene,et al.  Why is it easy to control your arms ? , 1982, Journal of motor behavior.

[3]  J. Desmedt,et al.  Spinal and supraspinal mechanisms of voluntary motor control and locomotion , 1980 .

[4]  J. F. Soechting,et al.  An algorithm for the generation of curvilinear wrist motion in an arbitrary plane in three-dimensional space , 1986, Neuroscience.

[5]  Milton Hildebrand,et al.  Analysis of Tetrapod Gaits: General Considerations and Symmetrical Gaits , 1976 .

[6]  K. J. Cole,et al.  Control of multimovement coordination: sensorimotor mechanisms in speech motor programming. , 1984, Journal of motor behavior.

[7]  Althea R. Iberall A neural model of human prehension , 1987 .

[8]  C. Perret,et al.  Neural Control of Locomotion in the Decorticate Cat , 1976 .

[9]  Stein Ps Application of the mathematics of coupled oscillator systems to the analysis of the neural control of locomotion. , 1977 .

[10]  H. Ralston Energetics of Human Walking , 1976 .

[11]  G. E. Goslow,et al.  Time Constraints for Inter-Limb Co-Ordination in the Cat During Unrestrained Locomotion , 1973 .

[12]  R. Schmidt 8 On the Theoretical Status of Time in Motor Program Representations , 1980 .

[13]  W. O. Friesen,et al.  Neuronal generation of the leech swimming movement. , 1978, Science.

[14]  S. Grillner Locomotion in vertebrates: central mechanisms and reflex interaction. , 1975, Physiological reviews.

[15]  H. Whiting 33 Dimensions of Control in Motor Learning , 1980 .

[16]  P. R. Lennard,et al.  Interlimb coordination during stepping in the cat: In-phase stepping and gait transitions , 1982, Brain Research.

[17]  L. Kempe Handbook of Physiology. Section I. The Nervous System , 1982 .

[18]  J. F. Soechting,et al.  Invariant characteristics of a pointing movement in man , 1981, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[19]  Marc H. Raibert,et al.  Legged Robots That Balance , 1986, IEEE Expert.

[20]  M. Arbib,et al.  Opposition Space as a Structuring Concept for the Analysis of Skilled Hand Movements , 1986 .

[21]  M Vukobratović,et al.  On the stability of biped locomotion. , 1970, IEEE transactions on bio-medical engineering.

[22]  M. Vukobratovic,et al.  On the stability of anthropomorphic systems , 1972 .

[23]  E. Reed An outline of a theory of action systems. , 1982, Journal of motor behavior.

[24]  F. Horak,et al.  Parsimony in Neural Calculations for Postural Movements , 1984 .

[25]  F. Horak,et al.  Central programming of postural movements: adaptation to altered support-surface configurations. , 1986, Journal of neurophysiology.

[26]  R. McNeill Alexander,et al.  Locomotion of animals , 1982 .

[27]  Michael A. Arbib,et al.  Perceptual Structures and Distributed Motor Control , 1981 .

[28]  R Beckett,et al.  An evaluation of the kinematics of gait by minimum energy. , 1968, Journal of biomechanics.

[29]  H. Forssberg,et al.  Phase-dependent organization of postural adjustments associated with arm movements while walking. , 1986, Journal of neurophysiology.

[30]  J. W. Humberston Classical mechanics , 1980, Nature.

[31]  Shik Ml,et al.  Control of walking and running by means of electric stimulation of the midbrain , 1966 .

[32]  P. Viviani,et al.  Trajectory determines movement dynamics , 1982, Neuroscience.

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

[34]  J. L. Smith,et al.  5 Programming of Stereotyped Limb Movements by Spinal Generators , 1980 .

[35]  P. N. Kugler,et al.  1 On the Concept of Coordinative Structures as Dissipative Structures: I. Theoretical Lines of Convergence* , 1980 .

[36]  Jessica K. Hodgins,et al.  Dynamically Stable Legged Locomotion , 1983 .

[37]  H. C. Corben,et al.  Classical Mechanics (2nd ed.) , 1961 .

[38]  M. Hildebrand Analysis of Vertebrate Structure , 1974 .

[39]  L. Nashner Balance adjustments of humans perturbed while walking. , 1980, Journal of neurophysiology.

[40]  J. Soechting,et al.  Organization of arm movements in three-dimensional space. Wrist motion is piecewise planar , 1987, Neuroscience.

[41]  Robert B. McGhee,et al.  Some finite state aspects of legged locomotion , 1968 .

[42]  J. Willis On the interaction between spinal locomotor generators in quadrupeds , 1980, Brain Research Reviews.

[43]  P. Stein Mechanisms of Interlimb Phase Control , 1976 .

[44]  S Grillner,et al.  Control of vertebrate respiration and locomotion: a brief account. , 1983, The Physiologist.

[45]  Douglas G. Stuart,et al.  Movements of the Hindlimb During Locomotion of the Cat , 1976 .

[46]  H. D. Eberhart Physical Principles of Locomotion , 1976 .