IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Regular Section
Rounding Logistic Maps over Integers and the Properties of the Generated Sequences
Takeru MIYAZAKIShunsuke ARAKIYasuyuki NOGAMISatoshi UEHARA
著者情報
ジャーナル 認証あり

2011 年 E94.A 巻 9 号 p. 1817-1825

詳細
抄録
Because of its simple structure, many reports on the logistic map have been presented. To implement this map on computers, finite precision is usually used, and therefore rounding is required. There are five major methods to implement rounding, but, to date, no study of rounding applied to the logistic map has been reported. In the present paper, we present experimental results showing that the properties of sequences generated by the logistic map are heavily dependent on the rounding method used and give a theoretical analysis of each method. Then, we describe why using the map with a floor function for rounding generates long aperiodic subsequences.
著者関連情報
© 2011 The Institute of Electronics, Information and Communication Engineers
前の記事 次の記事
feedback
Top