Controlling the Chaos of Logistic Map using Switching Strategy
Sudesh Kumari1, Renu Chugh2, Ashish Nandal3
1Sudesh Kumari, Assistant Professor, Department of Mathematics, Government College for Girls Sector 14, Gurugram, India.
2Renu Chugh, Professor, Department of Mathematics, Maharshi Dayanand University, Rohtak, India.
3Ashish Nandal, Assistant Professor, Department of Mathematics, Pt. NRS Government College, Rohtak, India.
Manuscript received on November 27, 2019. | Revised Manuscript received on December 15, 2019. | Manuscript published on December 30, 2019. | PP: 515-518 | Volume-9 Issue-2, December, 2019. | Retrieval Number: B2987129219/2019©BEIESP | DOI: 10.35940/ijeat.B2987.129219
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: 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.
Keywords: SP orbit, switching strategy, logistic map, bifurcation plot.