Title :
Relations between periods and control parameters in the logistic map over integers
Author :
Miyazaki, Takeru ; Araki, Shunsuke ; Uehara, Satoshi
Abstract :
In this present paper, we give results that a decrease of the control parameter in the logistic map over integers causes to disappear several loops which have specified periods. We derive the theoretical lower bound of the control parameter for a potential of existing the loop with an odd period on the logistic map over integers.
Keywords :
fractals; iterative methods; number theory; random number generation; control parameters; integers; logistic map; loop; lower bound; odd period; Educational institutions; Equations; Generators; Information theory; Logistics; Trajectory; Upper bound; control parameter; logistic map; loop; period;
Conference_Titel :
Signal Design and its Applications in Communications (IWSDA), 2011 Fifth International Workshop on
Conference_Location :
Guilin
Print_ISBN :
978-1-61284-047-5
DOI :
10.1109/IWSDA.2011.6159427
