CONTROLLING CHAOS IN 2-DIMENSIONAL SYSTEMS

Document Type: Regular Paper

Authors

1 Department of Mathematics, Zakir Husain College, University of Delhi, New Delhi – 110002, India

2 Mathematics Department, College of Science, Shiraz University, Shiraz, I. R. of Iran

3 Department of Mathematics, Shivaji College, University of Delhi, New Delhi, 110027, India

Abstract

A chaos control method suggested by Erjaee has been reviewed. It has been shown that this
technique can be applied in various evolutionary systems of 2-dimensional types. The method has been
applied for cases of the Henon map, as well as Burger’s map. The limitations of the control technique
have also been discussed by considering the Standard Map and the Gumowski-Mira map. The results
obtained through numerical calculations are very interesting and significant. This technique has some
advantages over many other techniques of chaos control in discrete systems.

Keywords