The Levels of Quasiperiodic Functions on the plane, Hamiltonian Systems and Topology
| dc.creator | Novikov, S. P. | |
| dc.date | 1999-09-28 | |
| dc.date.accessioned | 2026-07-07T04:32:59Z | |
| dc.date.available | 2026-07-07T04:32:59Z | |
| dc.description | Topology of levels of the quasiperiodic functions with m=n+2 periods on the plane is studied. For the case of functions with m=4 periods full description is obtained for the open everywhere dense family of functions. This problem is equivalent to the study of Hamiltonian systems on the (n+2)-torus with constant rank 2 Poisson bracket. In the cases under investigation we proved that this system is topologically completely integrable in some natural sence where interesting integer-valued locally stable topological characteristics appear. The case of 3 periods has been extensively studied last years by the present author, Zorich, Dynnikov and Maltsev for the needs of solid state physics (''Galvanomagnetic Phenomena in Normal Metals''); The case of 4 periods might be useful for Quasicrystals. | |
| dc.description | LATEX2e, 4 pages | |
| dc.identifier | https://arxiv.org/abs/math-ph/9909032 | |
| dc.identifier | http://arxiv.org/abs/math-ph/9909032 | |
| dc.identifier | Russian Mathematical Surveys, vol. 54 (1999), no. 5, 1031--1032 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58403 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Dynamical Systems | |
| dc.subject | 58F27 (Primary) 58F07 (Secondary) | |
| dc.title | The Levels of Quasiperiodic Functions on the plane, Hamiltonian Systems and Topology | |
| dc.type | text |