Abstract
In this paper we have investigated chaos synchronization between the two non- identical fractional order hyperchaotic systems using feedback control technique.The hyperchaotic system introduced by Xin and Ling has been synchronized with the Lü like hyperchaotic system.The analytical conditions for the synchronization of this pair of different fractional order hyperchaotic systems are derived by using Laplace transform. Numerical simulations are carried out using Matlab to show the effectiveness of the method.
Highlights
Chaotic systems are characterized by their sensitive dependence on initial conditions.Chaos synchronization has attracted a great deal of attention since the seminal work by Pecora and Carroll [1] in which they established a chaos synchronization scheme for two identical chaotic systems with different initial conditions.As fractional order chaotic behaviour has a wide range of applications in image processing, secure communication, information encrypion, etc.[2,3,4,5]
In this paper we have investigated chaos synchronization between the two non- identical fractional order hyperchaotic systems using feedback control technique.The hyperchaotic system introduced by Xin and Ling has been synchronized with the Lulike hyperchaotic system.The analytical conditions for the synchronization of this pair of different fractional order hyperchaotic systems are derived by using Laplace transform
Synchronization of fractional order chaotic systems gained a lot of attention due to its importance in applications in biology [6], economics [7], physics [8] etc.Some of the approaches which have been presented to achieve chaos synchronization in fractional order chaotic systems are adaptive control method
Summary
Chaotic systems are characterized by their sensitive dependence on initial conditions.Chaos synchronization has attracted a great deal of attention since the seminal work by Pecora and. Synchronization of fractional order chaotic systems gained a lot of attention due to its importance in applications in biology [6], economics [7], physics [8] etc.Some of the approaches which have been presented to achieve chaos synchronization in fractional order chaotic systems are adaptive control method [9,10,11], sliding mode control method [12,13], linear and non-linear feedback control method [14,15,16], active control method [17], PC control [18], backstepping control method [19], etc.
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