Eye movement instabilities and nystagmus can be predicted by a nonlinear dynamics model of the saccadic system

DOI10.1007/s00285-005-0336-4zbMath1077.92027OpenAlexW2160566986WikidataQ46531950 ScholiaQ46531950MaRDI QIDQ2581015

R. V. Abadi, Ozgur E. Akman, Richard A. Clement, David S. Broomhead

Publication date: 10 January 2006

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: http://eprints.maths.manchester.ac.uk/167/1/Akmanetal-JMB05.pdf

zbMATH Keywords

Nonlinear dynamicsBifurcationBraking signalCongenital nystagmusSaccadic system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Dynamical systems in biology (37N25) Medical applications (general) (92C50) Qualitative investigation and simulation of ordinary differential equation models (34C60) Dynamical aspects of attractors and their bifurcations (37G35)

Related Items (6)

The instantaneous local transition of a stable equilibrium to a chaotic attractor in piecewise-smooth systems of differential equations ⋮ Stability of the saccadic oculomotor system ⋮ Nonlinear time series analysis of jerk congenital nystagmus ⋮ A Discrete Saccadic Model and Bursting ⋮ Slow-fast \(n\)-dimensional piecewise linear differential systems ⋮ Dynamics of a horizontal saccadic oculomotor system with colored noise

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
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• On the correlation dimension of optokinetic nystagmus eye movements: Computational parameters, filtering, nonstationarity, and surrogate data
• Invariant graphs for forced systems
• NUMERICAL COMPUTATION OF CANARDS

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