Synchronization of dynamical systems of different orders and different dimensions

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Authors :

Ayub Khan 1 , Mridula Budhraja 2 and Aysha Ibraheem 3*

Author Address :

1 Department of Mathematics, Jamia Millia Islamia, New Delhi, 110025, India.
2 Department of Mathematics, Shivaji College, New Delhi, 110027, India.
3 Department of Mathematics, University of Delhi, Delhi, 110007, India.

*Corresponding author.

Abstract :

A method of tracking control is proposed to achieve synchronization between the systems of fractional order and integer order. This article presents two cases of synchronization, in first case synchronization for three dimensional integer order Cai system and a four dimensional fractional order hyperchaotic Gao system is achieved and in second case synchronization for three dimensional fractional order Newton-Leipnik system and four dimensional hyperchaotic Pang-Liu system is achieved by tracking control method. Computational results shows that the controllers designed are useful to synchronize the considered master and slave systems in both the cases. In order to execute numerical results Matlab software is used.

Keywords :

Synchronization, fractional order system, integer order system, tracking Control.



Article Info :

Received : November 17, 2017; Accepted : February 19, 2018.



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