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 …

Extracting complex interactions (ie, dynamic topologies) has been an essential, but difficult,
step toward understanding large, complex, and diverse systems including biological …

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

In this paper, we derive the minimum-energy periodic control that entrains an ensemble of
structurally similar neural oscillators to a desired frequency. The state-space representation …

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. 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 …

The ability to finely manipulate spatiotemporal patterns displayed in neuronal populations is
critical for understanding and influencing brain functions, sleep cycles, and neurological …

This paper explores event-based feedback schemes for controlling spike timing in phase
models of neurons with the constraint of a chargebalanced stimulus over a period of …