Title :
I-superior approach to study the stability of logistic map
Author :
Rani, Mamta ; Goel, Saurabh
Author_Institution :
Fac. of Comput. Syst. & Software Eng., Univ. Malaysia Pahang, Kuantan, Malaysia
Abstract :
Verlhust logistic map f(x) = r x (1 - x) is a widely studied and applicable model in discrete dynamical system. Its behavior has been, extensively, studied in Picard orbit and recently studied in superior orbit. Rani et. al. [22] and [25] has shown that in superior orbit, logistic map is stable for larger values of r than that of Picard orbit. In this paper, we have attempted to make the map stable for further larger values of r via I-superior iterates.
Keywords :
discrete systems; nonlinear systems; polynomials; stability; I-superior approach; Picard orbit; Verlhust logistic map; discrete dynamical system; logistic map stability; I-superior iterative procedure; Picard iterative procedure; logistic map; superior iterative procedure;
Conference_Titel :
Mechanical and Electrical Technology (ICMET), 2010 2nd International Conference on
Conference_Location :
Singapore
Print_ISBN :
978-1-4244-8100-2
Electronic_ISBN :
978-1-4244-8102-6
DOI :
10.1109/ICMET.2010.5598469
