Multifractal and chaos of one dimensional maps
Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Title of host publication | Computational Mechanics |
| Publisher | Publ by A.A. Balkema |
| Pages | 407-412 |
| ISBN (print) | 9054100303 |
| Publication status | Published - 1991 |
| Externally published | Yes |
Conference
| Title | Proceedings of the Asian Pacific Conference on Computational Mechanics |
|---|---|
| City | Hong Kong, Hong Kong |
| Period | 11 - 13 December 1991 |
Link(s)
Abstract
We present an accurate method to find the period doubling solutions of general one dimensional iterative maps. Due to the asymmetry of the bifurcation graph, period doubling factors defining the asymmetry are introduced. This additional information on the asymmetry give more accurate results than using just the usual multifractal analysis alone. Multiple period doubling leading to chaos is only straight forward extension. The fractal characteristic parameters can be calculated with high precision by means of the Feigenbaum numbers. The limiting system parameter which leads to chaos is obtained analytically by equating the two parameters at consecutive period doublings.
Citation Format(s)
Multifractal and chaos of one dimensional maps. / Luo, Chaojun; Leung, A. Y T.
Computational Mechanics. Publ by A.A. Balkema, 1991. p. 407-412.
Computational Mechanics. Publ by A.A. Balkema, 1991. p. 407-412.
Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review
