DYSFUNCTION IN SMOOTH PURSUIT EYE MOVEMENT- A CASE STUDY OF UNDAMPED FREE OSCILLATIONS

C. V. PAVANKUMAR*, N. Ch. Pattabhi Ramacharyulu · International Journal of Mathematical Archive · 2013

This paper presents a simple deterministic model of dysfunctions of eye- tracking. The model is formulated as a second order nonlinear ordinary differential equation, incorporating non Hookesien cubic restoring force. The equation is solved analytically by employing a perturbation technique with the nonlinear restoring force coefficient as the perturbation parameter. Jump phenomena in angular displacement, angular velocity were discussed for wide spectrum of parameter values. Identified the equilibrium points of the model equation and stability of equilibrium points is also discussed.

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