Spatially Localized Unstable Periodic Orbits
| dc.creator | Zoldi, Scott M. | |
| dc.creator | Greenside, Henry S. | |
| dc.date | 1997-04-03 | |
| dc.date | 1997-04-12 | |
| dc.date.accessioned | 2026-07-07T08:58:33Z | |
| dc.date.available | 2026-07-07T08:58:33Z | |
| dc.description | Using an innovative damped-Newton method, we report the first calculation of many distinct unstable periodic orbits (UPOs) of a large high-dimensional extensively chaotic partial differential equation. A majority of the UPOs turn out to be spatially localized in that time dependence occurs only on portions of the spatial domain. With a particular weighting of 127 UPOs, the Lyapunov fractal dimension D=8.8 can be estimated with a relative error of 2%. We discuss the implications of these spatially localized UPOs for understanding and controlling spatiotemporal chaos. | |
| dc.description | 16 pages (total), 3 eps figures (Includes two new references and a new footnote) Submitted to Physical Review Letters | |
| dc.identifier | https://arxiv.org/abs/chao-dyn/9704005 | |
| dc.identifier | http://arxiv.org/abs/chao-dyn/9704005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147367 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Spatially Localized Unstable Periodic Orbits | |
| dc.type | text |