Using a phase space cross section to study large complex systems
| dc.creator | Benkö, Gil | |
| dc.creator | Jensen, Henrik Jeldtoft | |
| dc.date | 2007-07-10 | |
| dc.date.accessioned | 2026-07-07T08:14:52Z | |
| dc.date.available | 2026-07-07T08:14:52Z | |
| dc.description | For large coupled nonlinear systems, it is difficult to visualize the high-dimensional phase space, which has been thoroughly studied in smaller systems with regards to phenomena such as riddled basins. Here we propose a method to reduce the phase space by defining a phase space cross section. The method is applied to a system of dynamically coupled maps introduced by Ito & Kaneko (Phys. Rev. Lett., 88, 028701, 2001 & Phys. Rev. E, 67, 046226, 2003). We show that the transitions between phases of different synchronization behaviour are not always sharp but can be characterized by fractal boundaries in both phase and parameter space. | |
| dc.description | 10 pages, 7 figures | |
| dc.identifier | https://arxiv.org/abs/0707.1439 | |
| dc.identifier | http://arxiv.org/abs/0707.1439 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/133282 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Dynamical Systems | |
| dc.title | Using a phase space cross section to study large complex systems | |
| dc.type | text |