208 citations · 301 across the 12 of their papers we have counts for
14 papers
Beyond Phase Reduction: Amplitude Collapse in Optimal Control of Coupled Oscillators
Faranak Rajabi, Frédéric Gibou, Jeff Moehlis
We solve the four-dimensional Hamilton-Jacobi-Bellman (HJB) equation for two diffusively coupled Stuart-Landau-like oscillators to obtain full-state optimal feedback control. A swe…
Nearly Optimal Chaotic Desynchronization of Neural Oscillators
Jeff Moehlis, Michael Zimet, Faranak Rajabi
Motivated by deep brain stimulation treatment of neural disorders such as Parkinson's disease, it has been proposed that desynchronization of neural oscillators can be achieved by…
CASL-HJX: A Comprehensive Guide to Solving Deterministic and Stochastic Hamilton-Jacobi Equations
Faranak Rajabi, Jacob Fingerman, Andrew Wang +2
CASL-HJX is a computational framework designed for solving deterministic and stochastic Hamilton-Jacobi equations in two spatial dimensions. It provides a flexible and efficient ap…
Analysis of Neural Clusters due to Deep Brain Stimulation Pulses
Daniel Kuelbs, Jacob Dunefsky, Bharat Monga +1
Deep brain stimulation (DBS) is an established method for treating pathological conditions such as Parkinson's disease, dystonia, Tourette syndrome, and essential tremor. While the…
Augmented Phase Reduction for Periodic Orbits Near a Homoclinic Bifurcation and for Relaxation Oscillators
Bharat Monga, Jeff Moehlis
Oscillators - dynamical systems with stable periodic orbits - arise in many systems of physical, technological, and biological interest. The standard phase reduction, a model reduc…
Supervised Learning Algorithms for Controlling Underactuated Dynamical Systems
Bharat Monga, Jeff Moehlis
Control of underactuated dynamical systems has been studied for decades in robotics, and is now emerging in other fields such as neuroscience. Most of the advances have been in mod…