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Computing Feigenbaum's δ constant using the Ricker map.

Authors :
McCartney, Mark
Glass, David H
Source :
International Journal of Mathematical Education in Science & Technology. Dec2014, Vol. 45 Issue 8, p1265-1273. 9p.
Publication Year :
2014

Abstract

The Feigenbaum constant δ is frequently met by students in a first course on chaos, and discussed with reference to the period doubling within the logistic map. The details of the actual calculation of δ are, however, nontrivial, and form the basis for an undergraduate project which may be used to develop skills in discrete maps and numerical methods. This paper considers how the Ricker map can be used to evaluate δ, and also suggests a number of problems which can be solved by students along the way. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0020739X
Volume :
45
Issue :
8
Database :
Academic Search Index
Journal :
International Journal of Mathematical Education in Science & Technology
Publication Type :
Academic Journal
Accession number :
99208257
Full Text :
https://doi.org/10.1080/0020739X.2014.920534