3 papers
math.OC2026
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…
math.OC2025
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…
math.OC2025
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…