Title :
A study on relations between loops in sequences generated by the logistic map over integers and real numbers
Author :
Miyazaki, Takeru ; Araki, Shunsuke ; Uehara, Satoshi
Author_Institution :
Fac. of Environ. Eng., Univ. of Kitakyushu, Fukuoka, Japan
Abstract :
We are interested in properties of the logistic maps with finite precision and theirs sequences. In this paper, we focus on a cyclic part, which we call a loop, in a sequence generated by the logistic map over integers successively, since the loop always exists in the sequence. We can observe loops in sequences generated by the logistic map with irrational numbers as initial values. We will show the relations between loops in sequences generated by the map over integers and real numbers. We will also show a correspondence between these loops by averages of squared differences.
Keywords :
graph theory; set theory; cyclic part; integers; irrational numbers; logistic map; squared differences; Chaos; Computer science; Costs; Difference equations; Floating-point arithmetic; Logistics; Random sequences; Systems engineering and theory; Zinc; Averages of Squared Differences; Integers; Irrational Numbers; Logistic Map; Loops;
Conference_Titel :
Signal Design and its Applications in Communications, 2009. IWSDA '09. Fourth International Workshop on
Conference_Location :
Fukuoka
Print_ISBN :
978-1-4244-4379-6
Electronic_ISBN :
978-1-4244-4380-2
DOI :
10.1109/IWSDA.2009.5346421