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Active control; increased-order synchronization; hyperchaos; Lorenz system.

This paper presents increased-order generalized synchronization (GS) of chaotic and hyperchaotic systems with different order based on active control technique. By this technique, we design suitable control functions to achieve GS between (i) a new three-dimensional (3D) chaotic system and four-dimensional (4D) hyperchaotic Lorenz system and (ii) four-dimensional hyperchaotic Lorenz system and five-dimensional (5D) hyperchaotic Lorenz system. The corresponding numerical simulation results are presented to verify the effectiveness of this technique.

K S Ojo^{1 2} S T Ogunjo¹ A N Njah² I A Fuwape¹

1. Department of Physics, The Federal University of Technology, Akure, P. M. B. 704 Akure, Ondo State, Nigeria
2. Department of Physics, Federal University of Agriculture, Abeokuta, P. M. B. 2240 Abeokuta, Ogun State, Nigeria

Published

January 2015

Manuscript received

30 July 2013

Manuscript revised

19 February 2014

Accepted

11 April 2014

Early published

13 September 2014