Dynamical models of movement coordination
Human Movement SciencePublished 1 November 1995Open access
Peter J. Beek, C. E. Peper, Dick F. Stegeman
Citations189
SJR quartileQ2
SJR score0.61
SNIP1.09
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
TL;DR
The article concludes with a tentative scheme to clarify the position of the dynamical approach relative to other extant approaches in movement science.
Abstract
\n Contains fulltext :\n 139143.pdf (Publisher’s version ) (Open Access)\n
Keywords
PsychologyNeuroscienceEngineering
The Journal of PhysiologyA quantitative description of membrane current and its application to conduction and excitation in nerve
23,234 Citations1952A. L. Hodgkin, A. F. Huxley
This article concludes a series of papers concerned with the flow of electric current through the surface membrane of a giant nerve fibre by putting them into mathematical form and showing that they will account for conduction and excitation in quantitative terms.
Journal of Aesthetics and Art CriticismThe Ecological Approach to Visual Perception
23,142 Citations1980Marc H. Bornstein, James J. Gibson
Applied mathematical sciencesNonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
16,015 Citations1983John Guckenheimer, Philip Holmes
Biological CyberneticsA theoretical model of phase transitions in human hand movements
2,334 Citations1985Hermann Haken, J. A. Scott Kelso +1 more
A theoretical model, using concepts central to the interdisciplinary field of synergetics and nonlinear oscillator theory, is developed, which reproduces the dramatic change in coordinative pattern observed between the hands.
Behavioral and Brain SciencesOn the proper treatment of connectionism
2,081 Citations1988Paul Smolensky
A picture is painted in which traditional and connectionist theoretical constructs collaborate intimately to provide an understanding of cognition.
American Journal of Physiology-Regulatory, Integrative and Comparative PhysiologyPhase transitions and critical behavior in human bimanual coordination
1,505 Citations1984J. A. Scott Kelso
Conditions that give rise to phase shifts among the limbs when an animal changes gait are poorly understood and Coordinated shifts appear to arise because of continuous scaling influences that render the existing mode unstable.
Information, Natural Law, and the Self-Assembly of Rhythmic Movement
1,293 Citations2015P. Kügler, M. T. Turvey
Journal of Motor BehaviorOnce More on the Equilibrium-Point Hypothesis (λ Model) for Motor Control
1,257 Citations1986Anatol G. Feldman
The equilibrium control hypothesis (λ model) is considered with special reference to the length-force invariant characteristic of the muscle together with central and reflex systems subserving its activity.
ScienceDynamic Pattern Generation in Behavioral and Neural Systems
1,236 Citations1988Gregor Schöner, J. A. Scott Kelso
The central mathematical concepts of self-organization in nonequilibrium systems are used to show how a large number of empirically observed features of temporal patterns can be mapped onto simple low-dimensional dynamical laws that are derivable from lower levels of description.
Biological CyberneticsSelf-organized control of bipedal locomotion by neural oscillators in unpredictable environment
1,037 Citations1991Gentaro Taga, Yoko Yamaguchi +1 more
A new principle of sensorimotor control of legged locomotion in an unpredictable environment is proposed on the basis of neurophysiological knowledge and a theory of nonlinear dynamics by investigating the performance of a bipedal model investigated by computer simulation.
Choice Reviews OnlineChaos and nonlinear dynamics: an introduction for scientists and engineers
918 Citations1994Hilborn, Robert C
Journal of NeurophysiologyCharacteristics of motor programs underlying arm movements in monkeys
833 Citations1979A. Polit, Emilio Bizzi
The findings suggest that, in the performance of visually evoked learned movements, one of the major functions of the afferent feedback is in the adaptive modifications of learned motor programs.
Medical Entomology and ZoologyVariability and motor control
748 Citations1993Karl M. Newell, Daniel M. Corcos
The text reviews traditional perspectives on movement variability and moves on to consider dynamical systems approaches to movement control, which view variability as an index of movement fluctuations, and reveals how describing and understanding variability can further the knowledge of movement impairment.
Journal of Experimental Psychology Human Perception & PerformancePhase transitions and critical fluctuations in the visual coordination of rhythmic movements between people.
725 Citations1990R. C. Schmidt, Claudia Carello +1 more
The transition observed between the 2 phase modes satisfies the criteria of a physical bifurcation--hysteresis, critical fluctuations, and divergence--and is consonant with previous findings on transitions in limb coordination within a person.
NatureAction Potentials Recorded from Inside a Nerve Fibre
662 Citations1939A. L. Hodgkin, A. F. Huxley
This work has succeeded in inserting micro-electrodes into the giant axons of squids (Loligo forbesi) and recording the action potential between an electrode inside a nerve fibre and the conducting fluid outside it.
Human Motor Control
657 Citations1990David Α. Rosenbaum
Journal of NeurophysiologyMechanisms underlying achievement of final head position
629 Citations1976Emilio Bizzi, A. Polit +1 more
The findings are consistent with the view that final head position is an equilibrium point dependent on a number of factors, such as the firing rate and the recruitment of the alpha motoneurons, the length-tension properties of the muscles involved in posture, and passive elastic properties of external loads.
Journal of Experimental Psychology Human Perception & PerformanceEvolution of behavioral attractors with learning: Nonequilibrium phase transitions.
570 Citations1992Pier–Giorgio Zanone, J. A. Scott Kelso
Learning a bimanual coordination task (synchronization to a visually specified phasing relation) was studied as a dynamical process over 5 days of practicing a required phasing pattern, accompanied by quantitative evidence for loss of stability (phase transitions).
eScholarship (California Digital Library)Second Commentary: On the proper treatment of connectionism by Paul Smolensky (1988) - Neuromachismo Rekindled
570 Citations1989Walter Freeman
Biological CyberneticsA stochastic theory of phase transitions in human hand movement
543 Citations1986Gregor Schöner, Hermann Haken +1 more
The order parameter equation for the relative phase of correlated hand movements is extended to a time-dependent stochastic differential equation and remarkable good agreement between this theory and recent experiments done by Kelso and Scholz (1985) is found, and new predictions are offered.
Journal of Nonlinear ScienceCoupled nonlinear oscillators and the symmetries of animal gaits
507 Citations1993James J. Collins, Ian Stewart
The aim is to draw attention to some remarkable parallels between the generalities of coupled nonlinear oscillators and the observed symmetries of gaits, and to describe how this observation might impose constraints on the general structure of the neural circuits, i.e. central pattern generators, that control locomotion.
Causality and Modern Science
489 Citations2017Rubén Ardila
Biophysical JournalMinimal model for membrane oscillations in the pancreatic beta-cell
486 Citations1983Teresa Ree Chay, Joel Keizer
A mathematical model for ionic and electrical events that take place in pancreatic-beta-cells is formulated that generates spikes and bursts in beta-cell membrane potentials and gives the correct responses to additions of glucose, quinine, and tetraethylammonium ions.
Journal of Experimental Psychology Human Perception & PerformanceEvolution of behavioral attractors with learning: Nonequilibrium phase transitions.
473 Citations1992Pier–Giorgio Zanone, J. A. Scott Kelso
Physics Letters ANonequilibrium phase transitions in coordinated biological motion: critical fluctuations
459 Citations1986J. A. Scott Kelso, J. P. Scholz +1 more
Interlimb coordination : neural, dynamical, and cognitive constraints
422 Citations1994Stephan P. Swinnen
Topics on Interlimb Coordination include the development of Sensorimotor Intergration Underlying Posture Control in Infants During the Transition to Independent Stance, and the role of the Corpus Callosum and Bilaterally Distributed Motor Pathways in the Synchronization of Bilateral Upper-Limb Responses to Lateralized Light Stimuli.
Physical review. A, General physicsTransition to chaos by interaction of resonances in dissipative systems. I. Circle maps
419 Citations1984Mogens H. Jensen, Per Bak +1 more
Proceedings of the Royal Society of London. Series B, Biological sciencesThe mechanics of active muscle
418 Citations1953Archibald Vivian Hill
At an initial extension not greater than that at which the developed tension is a maximum the system is ‘stable’ and the tension reaches its full value sharply: at extensions on the outer side of the maximum the System is “unstable” and a long slow creep of rising tension occurs.
Journal of Experimental Psychology Human Perception & PerformanceSpace–time behavior of single and bimanual rhythmical movements: Data and limit cycle model.
384 Citations1987Bruce A. Kay, J. A. Scott Kelso +2 more
Physica D Nonlinear PhenomenaChaos in a three-variable model of an excitable cell
379 Citations1985Teresa Ree Chay
This is the first, simple, biophysically realistic model for excitable cells that shows endogenous chaos, which consists of three first-order, non-linear differential equations, which represent ionic events in excitable membranes.
Journal of Experimental Psychology Human Perception & PerformanceSymmetry breaking dynamics of human multilimb coordination.
341 Citations1992J. A. Scott Kelso, John J. Jeka
All observed relative phasing patterns and their dynamics are shown to arise from the same underlying nonlinear dynamical structure, an important feature of which is broken symmetry.
Human Movement ScienceSelf-organization of coordinative movement patterns
317 Citations1988J. A. Scott Kelso, Gregor Schöner
Journal of Motor BehaviorLearning as Change of Coordination Dynamics: Theory and Experiment
289 Citations1992Gregor Schöner, Pier–Giorgio Zanone +1 more
It is argued that not only intrinsic coordination tendencies, but also specific behavioral requirements, be they perceived, memorized, or intended, must be expressed in terms of such dynamics, which are captured as equations of motion of relevant collective variables by the concept of behavioral information.
Biological CyberneticsA synergetic theory of environmentally-specified and learned patterns of movement coordination
287 Citations1988Gregor Schöner, J. A. Scott Kelso
This paper outlines and applies a synergetic strategy to the coordination of human rhythmical movement to include the influence of specific environmental information and of memory on the dynamics of the collective variables (order parameters) that characterize the coordination patterns.
Biological CyberneticsA dynamic theory of coordination of discrete movement
271 Citations1990Gregor Schöner
The concepts of pattern dynamics and their adaptation through behavioral information, developed in the context of rhythmic movement coordination, are generalized to describe discrete movements of single components and the coordination of multiple components in discrete movement.
Tutorials in Motor Neuroscience
264 Citations1991Jean Requin, George E. Stelmach
The author reveals the role of the ventrolateral thalamus in motor recovery after brain damage and discusses the mechanisms of eye-head coordination and plasticity in motor systems.
Physics Letters ANonequilibrium phase transitions in coordinated biological motion: Critical slowing down and switching time
258 Citations1987J. P. Scholz, J. A. Scott Kelso +1 more
Clear evidence for critical slowing down, a key feature of nonequilibrium phase transitions, is found and the mean and distribution of switching times closely match predictions from a stochastic dynamic theory.
Biophysical JournalBursting, beating, and chaos in an excitable membrane model
240 Citations1985Teresa Ree Chay, John Rinzel
A simplified, but quantitative, one-variable, discrete-time representation of the dynamics that describes the evolution of intracellular calcium from one spike upstroke to the next and exhibits the various modes of behavior.
Human Movement ScienceThe informational character of self-organized coordination dynamics
227 Citations1994J. A. Scott Kelso
The classical dualism between information and dynamics rests on an incommensurability between two alternative modes of description, but studies of instabilities in biological systems show that the relevant variables are context-specific informational quantities that exhibit nonlinear behavior, here termed coordination dynamics.
Springer series in synergeticsChaos in Brain Function
211 Citations1998E. Başar, Rodrigo Quian Quiroga
Journal of Motor BehaviorIntentional Switching Between Patterns of Bimanual Coordination Depends on the Intrinsic Dynamics of the Patterns
207 Citations1990J. P. Scholz, J. A. Scott Kelso
The results show that, although intentional influences act to modify a coordinative pattern's intrinsic dynamics, the influence of these dynamics on the resulting behavior is always present and is particularly strong at high movement frequencies.
Biological CyberneticsHexapodal gaits and coupled nonlinear oscillator models
197 Citations1993James J. Collins, Ian Stewart
The present analysis leads to a natural classification of hexapodal gaits by symmetry and to natural sequences of gait bifurcations, which relates observed gaits to the overall organizational structure of the underlying CPG.
Human Movement SciencePhase transitions in rhythmic tracking movements: A case of unilateral coupling
195 Citations1992R. H. Wimmers, Peter J. Beek +1 more
Biological CyberneticsPhase-entrainment dynamics of visually coupled rhythmic movements
187 Citations1994R. C. Schmidt, M. T. Turvey
The 1∶1 frequency locking between the limbs of two people was investigated using a paradigm in which each person oscillated a hand-held pendulum, achieving and maintaining the mutual entrainment through vision, in agreement with previous research on the stable states of interlimb coordination within a person.
International Journal of Bifurcation and ChaosPHASE TRANSITIONS IN THE HUMAN BRAIN: SPATIAL MODE DYNAMICS
183 Citations1992Armin Fuchs, J. A. Scott Kelso +1 more
Journal of Experimental Psychology Human Perception & PerformanceCoupling dynamics in interlimb coordination.
170 Citations1993R. C. Schmidt, Brian K. Shaw +1 more
Dynamical modeling and experimental analyses indicate that an intentional parameter phi psi and 2 control parameters omega c (coupled frequency) and delta omega (difference between uncoupled eigen-frequencies) affect phi.
Biological CyberneticsMultifrequency behavioral patterns and the phase attractive circle map
165 Citations1991G. C. deGuzman, J. A. Scott Kelso
Results from multifrequency coordination experiments in humans are presented showing that phase attraction persists especially for low order frequency ratios, and that short-term jumps from one phase relation to another occur within a frequency ratio.
Human Movement ScienceFitts' law as the outcome of a dynamic noise filtering model of motor control
161 Citations1995Gerard P. van Galen, Willem P. de Jong
An alternative, noise filtering model of motor control is presented proposing that the psychomotor system is an inherently noisy mechanical system for which spatial demands should be formulated in terms of a desired signal-to-noise ratio between goal-related propulsion of the limb (signal) and stochastic error (noise).
Journal of Experimental Psychology Human Perception & PerformanceResonance constraints on rhythmic movement.
158 Citations1993Paul Jaak Treffner, M. T. Turvey
Biological CyberneticsA theoretical model of phase transitions in the human brain
147 Citations1994Viktor Jirsa, R. Friedrich +2 more
A theoretical model is developed based on methods from the interdisciplinary field of synergetics and nonlinear oscillator theory that reproduces the main experimental features very well and suggests a formulation of a fundamental biophysical coupling.
Advances in psychologyComplex Movement Behaviour - ‘The’ Motor-action controversy
144 Citations1988
Setting the Stage: `The' Motor-Action Controversy and Complex Movement Behaviour: Empirical Studies.
Springer series in synergeticsRhythms in Physiological Systems
135 Citations1991Hermann Haken, Hans Peter Koepchen
Advances in psychology7 Central and Peripheral Mechanisms in Motor Control
134 Citations1980Emilio Bizzi
This presentation will attempt to establish how some of the processes subserving visually guided movements are relevant to the organization of more complex arm trajectories and the role of proprioceptive feedback during the execution of these movements will be examined.
Perception & PsychophysicsThe generation of two isochronous sequences in parallel
132 Citations1983Diana Deutsch
It was concluded that the performer develops a representation of the pattern as an integrated whole, and that performance accuracy is inversely related to pattern complexity.
Motor ControlCentral and Peripheral Mechanisms in Motor Control
122 Citations1976J. A. Scott Kelso, George E. Stelmach
This chapter discusses the central and peripheral mechanisms in motor control, and the role of feedback is primarily considered in terms of peripheral information from the various modalities providing the substrate for the detection and correction of movement errors.
Journal of Experimental Psychology Human Perception & PerformanceProduction of polyrhythms.
118 Citations1993Jeffery J. Summers, David Α. Rosenbaum +2 more
Biological CyberneticsAverage phase difference theory and 1∶1 phase entrainment in interlimb coordination
118 Citations1992Dagmar Sternad, M. T. Turvey +1 more
The significance of confirming φ=arcsin(Δω/K) for more general treatments of phase-locking, such as circle map dynamics, and for the 1∶1 phase-entrainment which characterizes biological movement systems is high-lighted.
Journal of Motor BehaviorAsymmetries in Coupling Dynamics of Perception and Action
112 Citations1995Winston D. Byblow, Romeo Chua +1 more
The influence of information-based dynamics on coordination dynamics of rhythmic movement was examined with special reference to the expression of asymmetries, with the right hand-visual display system defined a more stable perception-action collective than the left, particularly when continuous visual information was available.
Biological CyberneticsFrequency-induced phase transitions in bimanual tapping
109 Citations1995C. E. Peper, Peter J. Beek +1 more
Bimanual tapping occurs in a domain in which frequency-locked states either overlap or are located sufficiently close to each other to make stochastic switching possible (coupling parameter K > 1 or close to 1); the overall stability of these frequency-lock states decreases as movement frequency increases (due to a decrease in K) and, consequently, the probability of transitions to nearby frequency ratios increases as movement frequencies increases.
Physica D Nonlinear PhenomenaA model for phase transitions in human hand movements during multifrequency tapping
105 Citations1996Hermann Haken, C. E. Peper +2 more
Biological CyberneticsA synergetic theory of environmentally-specified and learned patterns of movement coordination
98 Citations1988Gregor Schöner, J. A. Scott Kelso
It is shown that an identical strategy may be applied to the same problem at the level of the component oscillators and behavioral patterns are shown to arise in a purely self-organized fashion.
NATO ASI series. Series B : PhysicsSelf-Organization, Emerging Properties, and Learning
78 Citations1991Agnessa Babloyantz
A model for Synchronous Activity in the Visual Cortex and Spectral Entropy as a Measure of Self-Organization in Transition Flows are presented.
Archives of NeurologyThe Physiological and Technical Basis of Electromyography
72 Citations1985R. Trudell
This textbook provides the basic technical and neurophysiological underpinning of EMG, nerve conduction studies, and somatosensory evoked potentials.
Human Movement ScienceCoupling strength in tapping a 2:3 polyrhythm
65 Citations1995C. E. Peper, Peter J. Beek +1 more
Human Movement ScienceDynamic theory of action-perception patterns: The time-before-contact paradigm
64 Citations1994Gregor Schöner
How this dynamic approach unifies several action-perception systems including also the classical moving room paradigm is discussed and how concepts from a computational approach to the problem, such as the tau margin, might be interpreted in terms of dynamics.
Journal of Mathematical BiologySymmetry-breaking bifurcation: A possible mechanism for 2:1 frequency-locking in animal locomotion
58 Citations1992James J. Collins, Ian Stewart
In the present work, the quadrupedal locomotor central pattern generator is modelled as four distinct but symmetrically coupled nonlinear oscillators, showing that the typical patterns for two such networks of oscillators include 2:1 frequency-locked oscillations.
Elsevier eBooksFrom Interlimb Coordination to Trajectory Formation
58 Citations1994Gregor Schöner
This chapter discusses the dynamic approach to interlimb coordination and describes how a dynamic approach may address the problem of trajectory formation of a single limb.
Human Movement SciencePractice effects on the coordination of the two hands in a bimanual tapping task
51 Citations1993Jeffery J. Summers, Stephen K. Ford +1 more
Human Movement ScienceThe control of multi-joint movements relies on detailed internal representations
43 Citations1995Gerrit Jan van Ingen Schenau, A.J. van Soest +2 more
This paper addresses the question what level of detail is required in internal representations used in control of multi-joint movements, focusing on contact control tasks and attempted to link Bernstein's notion of a hierarchical organization of the nervous system in which tasks are delegated to subsystems as low as possible in the hierarchical structure of the central nervous system.
NATO ASI series. Series B : PhysicsThe Self-Organized Phase Attractive Dynamics of Coordination
41 Citations1991J. A. Scott Kelso, G. C. deGuzman +1 more
The aim is to identify the principles that govern how the individual components of a complex, biological system are put together to form recognizable functions.
Perspectives of nonlinear dynamics. Volume 1
30 Citations1989E. Atlee Jackson
Ecological PsychologyTask-Specific Dynamics and the Study of Perception and Action: A reaction to von Hofsten (1989)
28 Citations1991Peter J. Beek, Geoffrey P. Bingham
Human Movement SciencePerspectives on the relation between information and dynamics: An epilogue
19 Citations1994Peter J. Beek, Piet C. W. van Wieringen
These three approaches serve as a framework for discussing the various contributions to the special issue of Human Movement Science, which address current conceptual problems in connecting information and dynamics and propose novel ways to solve them.
Advances in psychologyChapter 3 Kinds and Levels of Explanation: Implications for the Motor Systems Versus Action Systems Controversy
17 Citations1988P.C.W. van Wieringen
Munich Personal RePEc Archive (Ludwig Maximilian University of Munich)In Search of a Unified Theory of Biological Organization: What Does the Motor System of a Sea Slug Tell Us About Human Motor Integration?
12 Citations1992George J. Mpitsos, Seppo Soinila
Findings in the sea slug, Pleurobranchaea, indicate that cooperative actions among groups of neurons may arise dynamically and nonlinearly in shifting contexts or consensuses of response in which individual neurons may have different functions, even during times when the behaviors are similar.
…