Examples of integrable sub-Riemannian geodesic flows
| dc.creator | Kruglikov, Boris | |
| dc.date | 2001-05-16 | |
| dc.date | 2001-10-22 | |
| dc.date.accessioned | 2026-07-07T04:41:43Z | |
| dc.date.available | 2026-07-07T04:41:43Z | |
| dc.description | Motivated by a paper of Bolsinov and Taimanov DG/9911193 we consider non-holonomic situation and exhibit examples of sub-Riemannian metrics with integrable geodesic flows and positive topological entropy. Moreover the Riemannian examples are obtained as "holonomization" of sub-Riemannian ones. A feature of non-holonomic situation is non-compactness of the phase space. We also exhibit a Liouvulle-integrable Hamiltonian system with topological entropy of all integrals positive. | |
| dc.description | 21 pages; Answer to the self-posed question is added: Is it possible to construct Liouville-integrable Hamiltonian system with positive topological entropies of all integrals? Yes and we present an example | |
| dc.identifier | https://arxiv.org/abs/math/0105128 | |
| dc.identifier | http://arxiv.org/abs/math/0105128 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61476 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Optimization and Control | |
| dc.subject | 37B40; 53C17; 37J30; 37J60 | |
| dc.title | Examples of integrable sub-Riemannian geodesic flows | |
| dc.type | text |