Open AccessControlling the Chaos of Logistic Map using Switching Strategy
Author(s) -
Sudesh Kumari,
Renu Chugh,
Ashish Nandal
Publication year - 2019
Publication title -
international journal of engineering and advanced technology
Language(s) - English
Resource type - Journals
ISSN - 2249-8958
DOI - 10.35940/ijeat.b2987.129219
Subject(s) - logistic map , chaos (operating system) , chaotic , stability (learning theory) , periodic orbits , orbit (dynamics) , range (aeronautics) , control theory (sociology) , computer science , chaotic map , control of chaos , mathematics , value (mathematics) , statistical physics , synchronization of chaos , artificial intelligence , physics , mathematical analysis , statistics , engineering , aerospace engineering , machine learning , control (management) , computer security
In our very recent work (2019), we extended the stability performance of logistic map up to a higher value of r using SP orbit. In this article, we further extend this range of stability by adopting switching strategy (Parrondo’s Paradox) of controlling the chaos of dynamical systems. We observe that even the earlier chaotic orbits of four step feedback procedure can be converted into periodic orbits. Our approach can be used to solve a wider circle of engineering problems.