Synchronization between integer and fractional chaotic systems Via tracking control and non linear control with application

Document Type : Research Paper

Authors

Department of Mathematics, Jamia Millia Islamia, New Delhi, India.

Abstract

In this paper, the synchronization between complex fractional-order chaotic systems and the integer-order hyperchaotic system has been investigated. Due to increased complexity and the presence of additional variables, it seems to be very interesting and can be associated with real-life problems. Based on the idea of tracking control and nonlinear control, we have designed the controllers to obtain the synchronization between the chaotic systems. To establish the efficacy of the methods computations have been carried out. Excellent agreement between the analytical and computational studies has been observed. The achieved synchronization is illustrated in the field of secure communication. The results have been compared with published literature.

Keywords