Title :
Logistic map sensitivity to control parameter and its implications in the statistical behaviour
Author :
Hodea, Octavian ; Vlad, Adriana
Author_Institution :
Fac. of Electron., Telecommun. & Inf. Technol., Politeh. Univ. of Bucharest, Bucharest, Romania
Abstract :
This paper is a statistical study which aims to highlight aspects related to how the sensitivity of logistic map to the control parameter is reflected in its statistical behavior. Are followed the probability law and skewness issues when control parameter values are in a vicinity of 4. The analysis involves a study concerning statistical dependence between mean and variance for logistic function when control parameter value varies near 4.
Keywords :
nonlinear dynamical systems; statistical analysis; statistical distributions; logistic function; logistic map sensitivity; probability law; skewness; statistical behaviour; statistical dependence; Chaos; Correlation coefficient; Distribution functions; Logistics; Random processes; Sensitivity; Key words; chaos; logistic map parameter; logistic map sensitivity; skewness; statistical behaviour;
Conference_Titel :
Signals, Circuits and Systems (ISSCS), 2013 International Symposium on
Conference_Location :
Iasi
Print_ISBN :
978-1-4799-3193-4
DOI :
10.1109/ISSCS.2013.6651249
