33 citations
- University of LiverpoolGB6 papers
- Russian Academy of SciencesRU5 papers
- Eindhoven University of TechnologyNL2 papers
- Institute for Systems AnalysisRU2 papers
- Nanjing University of Science and TechnologyCN2 papers
- Scuola Internazionale Superiore di Studi AvanzatiIT2 papers
- University of JyväskyläFI2 papers
- University of PereslavlRU2 papers
- V. A. Trapeznikov Institute of Control SciencesRU2 papers
- Zhejiang Sci-Tech UniversityCN2 papers
- Centre d'Analyse et de Mathématique SocialesFR1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
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math-ph2022★ 4 cited
Natural differential invariants and equivalence of third order nonlinear differential operators
Valentin Lychagin, Valeriy Yumaguzhin
We give a description of the field of rational natural differential invariants for a class of nonlinear differential operators of the third order on a two dimensional manifold and…
math.OC2022★ 2 cited
Attainable set for rank 3 step 2 free Carnot group with positive controls
A. V. Podobryaev
We find the attainable set for a control system on the free Carnot group of rank and step with positive controls. This kind of control systems is connected with the theory…
math.DG2022★ 4 cited
Homogeneous geodesics in sub-Riemannian geometry
A. V. Podobryaev
We study homogeneous geodesics of sub-Riemannian manifolds, i.e., normal geodesics that are orbits of one-parametric subgroups of isometries. We obtain a criterion for a geodesic t…