University of California

University of Minnesota

Daniel David Wilson

Theoden Ivan Netoff

Jeffrey Michael Moehlis

A method is provided for finding an energy-optimal stimulus which gives a positive Lyapunov exponent, and hence desynchronization, for a neural population. The method is illustrated for three different neural models. Not only does it achieve desynchronization for each model, but it also does so using less energy than recently proposed methods, suggesting a powerful alternative to pulsatile stimuli for deep brain stimulation. Furthermore, we calculate error bounds on the optimal stimulus which will guarantee a minimum Lyapunov exponent. Also, a related control strategy is developed for desynchronizing neurons based on the population's phase distribution.

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Goleta, CA, United States of America

Daniel David Wilson