7 citations · 7 across the 3 of their papers we have counts for
11 papers
Totally real origami and impossible paper folding
David Auckly, John Cleveland
This paper gives one set of axioms for origami constructions, and describes the set of constructible points under these axioms. The determination of the set of cunstructible points…
Analysis of the Faddeev model
Dave Auckly, Lev Kapitanski
In this paper we consider a generalization of the Faddeev model for the maps from a closed three-manifold into the two-sphere. We give a novel representation of smooth -value…
Topologically knoted Lagrangians in simply connected four manifolds
Dave Auckly
Vidussi was the first to construct knotted Lagrangian tori in simply connected four dimensional manifolds. Fintushel and Stern introduced a second way to detect such knotting.This…
On the lambda-equations for matching control laws
Dave Auckly, Lev Kapitanski
We discuss matching control laws for underactuated systems. We previously showed that this class of matching control laws is completely charactarized by a linear system of first or…
Families of four dimensional manifolds that become mutually diffeomorphic after one stabilization
D. Auckly
In this paper, we will introduce a cut and paste move, called a geometrically null log transform, and prove that any two manifolds related by a sequence of these moves become diffe…
Matching, linear systems, and the ball and beam
Fedor Andreev, David Auckly, Lev Kapitanski +3
A recent approach to the control of underactuated systems is to look for control laws which will induce some specified structure on the closed loop system. This basic idea is used…