Results 71 to 80 of about 1,129 (83)

Geometric control theory of vertical rolling disc using symmetries [PDF]

arXiv, 2019
We use the methods of geometric control theory to study extremal trajectories of vertical rolling disk. We focus on the role of symmetries of the underlying geometric structures. We demonstrate the computations in the CAS Maple package DifferentialGeometry.
arxiv  

Analytic Torsion of Generic Rank Two Distributions in Dimension Five. [PDF]

J Geom Anal, 2022
Haller S.
europepmc   +1 more source

Periodic Orbits in the Kepler-Heisenberg Problem

, 2013
One can formulate the classical Kepler problem on the Heisenberg group, the simplest sub-Riemannian manifold. We take the sub-Riemannian Hamiltonian as our kinetic energy, and our potential is the fundamental solution to the Heisenberg sub-Laplacian. The
Shanbrom, Corey
core  

Dependence of vector fields and singular controls [PDF]

arXiv, 2016
We show an example providing a significance in geometric control theory of the existence of the dependence locus of a system of vector fields in particular, the generic appearance of non-trivial singular trajectories embedded in the dependence locus.
arxiv  

On Rectifiable Measures in Carnot Groups: Existence of Density. [PDF]

J Geom Anal, 2022
Antonelli G, Merlo A.
europepmc   +1 more source

Lipschitz Carnot-Carathéodory Structures and their Limits. [PDF]

J Dyn Control Syst, 2023
Antonelli G, Le Donne E, Nicolussi Golo S.   +2 more
europepmc   +1 more source

Rigidity of Local Quasisymmetric Maps on Fibered Spaces

Analysis and Geometry in Metric Spaces, 2018
Medwid Mark, Xie Xiangdong
doaj   +1 more source

Weighted quantitative isoperimetric inequalities in the Grushin space [Formula: see text] with density [Formula: see text]. [PDF]

J Inequal Appl, 2017
He G, Zhao P.
europepmc   +1 more source

Variational properties of local functionals driven by arbitrary anisotropies [PDF]

arXiv
We provide integral representation and $\Gamma$-compactness results for anisotropic local functionals depending on arbitrary Lipschitz continuous vector fields. In particular, neither bracket-generating assumptions nor linear independence conditions are required.
arxiv  

The Ball-Box Theorem for a Class of Corank 1 Non-differentiable Tangent Subbundles. [PDF]

J Dyn Control Syst, 2018
Türeli S.
europepmc   +1 more source