The Multiplier Group of a Quasiperiodic Flow
| dc.creator | Bakker, L. F. | |
| dc.date | 2005-09-01 | |
| dc.date.accessioned | 2026-07-07T05:22:53Z | |
| dc.date.available | 2026-07-07T05:22:53Z | |
| dc.description | As an absolute invariant of smooth conjugacy, the multiplier group described the types of space-time symmetries that the flow has, and for a quasiperiodic flow on the $n$-torus, is the determining factor of the structure of its generalized symmetry group. It is conjectured that a quasiperiodic flow is F-algebraic if and only if its multiplier group is a finite index subgroup of the group of units in the ring of integers of a real algebraic number field F, and that a quasiperiodic flow is transcendental if and only if its multiplier group is {1,-1}. These two conjectures are partially validated for n greater or equal to 2, and fully validated for n=2. | |
| dc.description | 10 pages, submitted to DCDS-A | |
| dc.identifier | https://arxiv.org/abs/math/0509023 | |
| dc.identifier | http://arxiv.org/abs/math/0509023 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76235 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Number Theory | |
| dc.subject | 37C15; 37C55;11R99 | |
| dc.title | The Multiplier Group of a Quasiperiodic Flow | |
| dc.type | text |