article-journal

We use Jacobi coordinates and Nambu brackets to derive a new representation of the motion of three vortices which, unlinke all previous reductions, introduces no singularities into the system. We use this to study the scattering of dipoles by stationary vortices.

We describe QGLAB, a new MATLAB package for analyzing partial differential equations on quantum graphs.

We use an optimal control framework to efficiently couple light into a fiber Bragg grating, improving a previously-reported 66 percent transmission to 88 percent.

We show via analytical perturbation theory that the leapfrogging vortex quartet becomes unstable exactly at the critical ratio $\alpha= \phi^{-2}.$

We use optimal control based on a Galerkin-truncated model to transfer a BEC from one well of a two-well potential to the other.

Applications of Bose-Einstein Condensates (BEC) often require that the condensate be prepared in a specific complex state. Optimal …

We address the problem of reshaping light in the Schrödinger optics regime from the perspective of optimal control theory. In …

We consider the existence of spatially localized traveling wave solutions of the mass-in-mass lattice. Under an anti-resonance …

A dynamical system is said to be reversible if, given an output, the input can always be recovered in a well-posed manner. …

We investigate the stability of a one-parameter family of periodic solutions of the four-vortex problem known as leapfrogging orbits. …