21 citations · 33 across the 9 of their papers we have counts for
9 papers
All field strengths are possible locally in Boozer coordinates
Taylor J. Klotz, Nathan Duignan, Joshua W. Burby +1
The magnetic field strength is a central design object in the theory of magnetic confinement of plasma. Desirable confinement properties such as quasi-symmetry and omnigenity are c…
Flatness of the Generic Under-Actuated 6-Degrees-of-Freedom Unmanned Surface Vessel
Taylor J. Klotz, Peter J. Vassiliou
The flatness of the under-actuated unmanned surface vessel with circular hull-shape (``the hovercraft") has long been known. We resolve the long-standing open problem: whether the…
Quotients of Invariant Control Systems
Taylor J. Klotz, Peter J. Vassiliou
In previous work it was shown that if a control system on manifold has a control symmetry group then it very often has group quotients (or symmetry…
On Some Local Geometry of Bi-Contact Structures
Taylor J. Klotz, George R. Wilkens
We investigate the local geometry of a pair of independent contact structures on 3-manifolds under maps that independently preserve each contact structure. We discover that such ma…
A look at endemic equilibria of compartmental epidemiological models and model control via vaccination and mitigation
Monique Chyba, Taylor Klotz, Yuriy Mileyko +1
Compartmental models have long served as important tools in mathematical epidemiology, with their usefulness highlighted by the recent COVID-19 pandemic. However, most of the class…
Dynamic Feedback Linearization of Control Systems with Symmetry
Jeanne N. Clelland, Taylor J. Klotz, Peter J. Vassiliou
Control systems of interest are often invariant under Lie groups of transformations. For such control systems, a geometric framework based on Lie symmetry is formulated, and from t…
Geometry of Cascade Feedback Linearizable Control Systems
Taylor J. Klotz
In this thesis, we provide new insights into the theory of cascade feedback linearization of control systems. In particular, we present a new explicit class of cascade feedback lin…
Slow manifold reduction for plasma science
J. W. Burby, T. J. Klotz
The classical Chapman-Enskog procedure admits a substantial geometrical generalization known as slow manifold reduction. This generalization provides a paradigm for deriving and un…
Beltrami fields with nonconstant proportionality factor
Jeanne N. Clelland, Taylor Klotz
We consider the question raised by Enciso and Peralta-Salas in [4] (see arXiv:1402.6825): What nonconstant functions can occur as the proportionality factor for a Beltrami fiel…