Name
Title | ||
|---|---|---|
Spatiotemporal Distributions Of Unstable Periodic Orbits In Noisy Coupled Chaotic Systems |
Abstract | ||
|---|---|---|
Techniques for detecting encounters with unstable periodic orbits (UPOs) have been very successful in the analysis of noisy, experimental time series. We present here a technique for applying the topological recurrence method of UPO detection to spatially extended systems. This approach is tested on a network of diffusively coupled chaotic Rossler systems, with both symmetric and asymmetric coupling schemes. We demonstrate how to extract encounters with UPOs from such data, and present a preliminary method for analyzing the results and extracting dynamical information from the data, based on a linear correlation analysis of the spatiotemporal occurrence of encounters with these low period UPOs. This analysis can provide an insight into the coupling structure of such a spatially extended system. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1142/S021812740300817X | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
Keywords | DocType | Volume |
UPO, unstable periodic orbits, coupled chaotic systems, asymmetric coupling | Journal | 13 |
Issue | ISSN | Citations |
9 | 0218-1274 | 0 |
PageRank | References | Authors |
0.34 | 6 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kevin Dolan | 1 | 12 | 2.23 |
| Annette Witt | 2 | 22 | 1.81 |
| Jürgen Kurths | 3 | 2000 | 142.58 |
| Frank Moss | 4 | 38 | 8.50 |