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Slow-Fast Decoupling of the Disparity Convergence Eye Movements Dynamics

In this paper we show how to separate the slow and fast dynamics of the disparity convergence of the eye movements dynamic model. The dynamic equations obtained determine the modified slow dynamics that takes into account the impact of the fast dynamics and the modified fast dynamics that takes into account the impact of the slow dynamics. The slow fast decoupling is achieved by finding analytical solutions of the transformation equations used. The transformed slow and fast subsystems have very simple forms. Having separated the slow and fast dynamics completely, neural control problems for the slow and fast eye movements dynamics can be independently studied and better understood.

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The author is thankful to Professor George Hung from Rutgers University, Department of Biomedical Engineering, for providing useful clarification of the considered vision system dynamic model and an interpretation of the roles of its slow and fast components.

1. Department of Mechanical Engineering, Acopian Engineering Center, Lafayette College, Easton, PA, USA

   Verica Radisavljevic-Gajic

2. Department of Mechanical Engineering, Acopian Engineering Center, Lafayette College, 740 High Street, Room 241, Easton, PA, 18042-1771, USA

   Verica Radisavljevic-Gajic

1. Verica Radisavljevic-Gajic

Correspondence to Verica Radisavljevic-Gajic.

Radisavljevic-Gajic, V. Slow-Fast Decoupling of the Disparity Convergence Eye Movements Dynamics. Ann Biomed Eng 34, 310–314 (2006). https://doi.org/10.1007/s10439-005-9042-0

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• Received: 10 November 2004

• Accepted: 19 August 2005

• Published: 01 February 2006

• Issue Date: February 2006

• DOI: https://doi.org/10.1007/s10439-005-9042-0

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