Biological Cybernetics

, Volume 80, Issue 4, pp 235–245 | Cite as

The dynamics of goal-directed rhythmical aiming

  • Denis Mottet
  • Reinoud J. Bootsma
Article

Abstract.

Based on the kinematics of goal-directed aiming movements in a reciprocal Fitts' task, a minimal limit cycle model is proposed that is capable of producing the behavior observed at levels of task difficulty ranging from 3 to 7. From graphical and statistical analyses of the phase planes, Hooke's planes and velocity profiles, we concluded that the minimal terms to be included in the model were (i) a nonlinear damping in the form of a self-sustaining, velocity-driven Rayleigh oscillator and (ii) a nonlinear stiffness in the form of a softening spring Duffing term. The model reproduced the kinematic patterns experimentally observed in rhythmical precision aiming, accounting for 95% of the variance. The coefficients in the model changed in a systematic way when distance and precision constraints were varied, and the meaning of these changes is discussed in the framework of the dynamical patterns approach.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Denis Mottet
    • 1
  • Reinoud J. Bootsma
    • 1
  1. 1. Mouvement & Perception (UMR 6559), CNRS & Université de la Méditerranée, 163 avenue de Luminy, CP 910, 13288 Marseille cedex 09, FranceFR

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