1 citations · 1 across the 5 of their papers we have counts for
Showing math.DSShow all
3 papers · 1 filter
math.DS2016
Computing the Bouligand derivative of a class of piecewise-differentiable flows
Shai Revzen, Samuel A Burden
Event--selected vector fields yield piecewise-differentiable flows, which possess a continuous and piecewise-linear Bouligand (or B-)derivative; here we provide an algorithm…
math.DS2016
Reverse-engineering invariant manifolds with asymptotic phase
Matthew Kvalheim, Shai Revzen
We present a recipe for rendering a submanifold normally hyperbolic and invariant within a stability basin. The construction includes the ability to choose the asymptotic phase map…
math.DS2014
Event-Selected Vector Field Discontinuities Yield Piecewise-Differentiable Flows
Samuel A. Burden, S. Shankar Sastry, Daniel E. Koditschek +1
We study a class of discontinuous vector fields brought to our attention by multi-legged animal locomotion. Such vector fields arise not only in biomechanics, but also in robotics,…