A powerful technique for the analysis of nonlinear oscillators is the rigorous reduction to
phase models, with a single variable describing the phase of the oscillation with respect to …

Synchronization of oscillations is a phenomenon prevalent in natural, social, and
engineering systems. Controlling synchronization of oscillating systems is motivated by a …

A procedure is developed for finding an energy-optimal stimulus which gives a positive
Lyapunov exponent, and hence desynchronization, for a neural population. The procedure …

We employ optimal control theory to design an event-based, minimum energy,
desynchronizing control stimulus for a network of pathologically synchronized …

We consider the problem of desynchronizing a network of synchronized, globally (all-to-all)
coupled neurons using an input to a single neuron. This is done by applying the discrete …

Objective. External control of spike times in single neurons can reveal important information
about a neuron's sub-threshold dynamics that lead to spiking, and has the potential to …

Objective. To demonstrate the applicability of optimal control theory for designing minimum
energy charge-balanced input waveforms for single periodically-firing in vitro neurons from …

By injecting an electrical current control stimulus into a neuron, one can change its inter-
spike intervals. In this paper, we investigate the time optimal control problem for periodically …

We use optimal control theory to design a methodology to find locally optimal stimuli for
desynchronization of a model of neurons with extracellular stimulation. This methodology …

In this paper, we study the optimal control of phase models for spiking neuron oscillators. We
focus on the design of minimum-power current stimuli that elicit spikes of neurons at …