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Proceedings Paper

Delays and tori in a nonlinear model from motor control
Author(s): Sue Ann Campbell; Jacques Belair
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Paper Abstract

A model is derived for a `simple' motor control task. An artificial delay is introduced in the experiments to assess the dynamic influence it may have on normal and/or pathological conditions. The model takes the form of a delay-differential equation containing two time delays, associated with two (proprioceptive and visual) negative feedback loops. A linear stability analysis reveals a rich structure in the parameter values destabilizing the equilibrium. A nonlinear analysis, by a reduction on a center manifold when two Hopf bifurcations interact, reveals the existence of stable and unstable 2D tori. These results are contrasted with systems involving a single feedback loop, and a single time delay.

Paper Details

Date Published: 5 November 1993
PDF: 13 pages
Proc. SPIE 2036, Chaos in Biology and Medicine, (5 November 1993); doi: 10.1117/12.162719
Show Author Affiliations
Sue Ann Campbell, Univ. de Montreal and McGill Univ. (Canada)
Jacques Belair, Univ. de Montreal and McGill Univ. (Canada)

Published in SPIE Proceedings Vol. 2036:
Chaos in Biology and Medicine
William L. Ditto, Editor(s)

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