Name
Abstract | ||
|---|---|---|
As a result of the recent finding that the Lorenz system exhibits blurred self-affinity for values of its controlling parameter slightly above the onset of chaos, we study other low-dimensional chaotic flows with the purpose of providing an approximate description of their second-order, two-point statistical functions. The main pool of chaotic systems on which we focus our attention is that reported by Sprott [1994], generalized however to depend on their intrinsic number of parameters. We show that their statistical properties are adequately described as processes with spectra having three segments all of power-law type. On this basis we identify quasiperiodic behavior pertaining to the relatively slow process in the attractors and approximate self-affine statistical symmetry characterizing the fast processes. |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1142/S0218127401003735 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
DocType | Volume | Issue |
Journal | 11 | 10 |
ISSN | Citations | PageRank |
0218-1274 | 0 | 0.34 |
References | Authors | |
0 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Elena S. Dimitrova | 1 | 29 | 5.36 |
| Oleg I. Yordanov | 2 | 0 | 0.34 |