Period Doubling in Four-Dimensional Volume-Preserving Maps
| dc.creator | Kim, Sang-Yoon | |
| dc.date | 1994-02-23 | |
| dc.date.accessioned | 2026-07-07T03:07:09Z | |
| dc.date.available | 2026-07-07T03:07:09Z | |
| dc.description | We numerically study the scaling behavior of period doublings at the zero-coupling critical point in a four-dimensional volume-preserving map consisting of two coupled area-preserving maps. In order to see the fine structure of period doublings, we extend the simple one-term scaling law to a two-term scaling law. Thus we find a new scaling factor $δ_3$ $(=1.8505\dots)$ associated with scaling of the coupling parameter, in addition to the previously known scaling factors $δ_1$ $(=-8.7210\dots)$ and $δ_2$ $(=-4.4038\dots)$. These numerical results confirm the renormalization results reported by Mao and Greene [Phys. Rev. A {\bf 35}, 3911 (1987)]. | |
| dc.description | 16 pages + 2 PostScript figures, RevTex 3.0, KWNU-SP-94-1 | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9402099 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9402099 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/27067 | |
| dc.subject | Condensed Matter | |
| dc.title | Period Doubling in Four-Dimensional Volume-Preserving Maps | |
| dc.type | text |