The exploration of interplay between topology and nonlinearity leads to an emerging field of nonlinear topological physics.

Insights into coherence synthesis in nonlinear optics highlight the role of spatial coherence in shaping second harmonic ...

SIAM Journal on Numerical Analysis, Vol. 27, No. 4 (Aug., 1990), pp. 1061-1080 (20 pages) Error estimates are derived for an augmented Lagrangian approximation to an ...

Differential equations and systems analysis. Undergraduate controls and/or signal processing course would satisfy this requirement. A graduate-level systems course is also helpful, but not necessary.

We analyze the bilinear optimal control problem of quantum mechanical systems with final observation governed by a stochastic nonlinear Schrödinger equation perturbed by a linear multiplicative Wiener ...

Get faster, more precise motion with fewer unwanted oscillations and overshoots, thanks to a new algorithm. Servo controllers commonly use traditional cascaded configurations in which a velocity loop ...

In the relentless drive to build more cost-efficient, less resource-intensive structures, their operating envelopes are expanding resulting in larger deflections and geometric nonlinearities being ...