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International Journal of Statistika and Mathematika, ISSN: 2277- 2790 E-ISSN: 2249-8605

Volume 7, Issue 2, October 2013 pp 67-77

Research Article

Controlling of Chaos in Some Nonlinear Maps

T. K. Dutta¹, Anil Kr. Jain²

¹Tarini Kumar Dutta, Professor, Department of Mathematics, Gauhati University, Guwahati ,Assam - 781014, INDIA.

Academic Editor: Dr. Dase R. K.

In this paper we have considered two non linear maps which follow a period –doubling route to chaos beyond accumulation point [3, 4]. In general , the key idea underlying in most controlling-chaos schemes is to take advantage of the unstable steady states  and unstable periodic orbits of the system (infinite in number)  that are embedded in the chaotic attractor characterizing the dynamics in phase space [8]. There are many methods available for controlling chaos in different models. In this paper, the periodic proportional pulses technique which is proposed by N.P.Chau [2] is applied to stabilise unstable periodic orbits embedded in the chaotic attractors of one and two dimensional non linear discrete maps and OGY method is also applied to the two dimensional map[9,11] .