A new synchronization result for fractional-order discrete-time chaotic systems via bandlimited channels

Abstract

Recently, digital chaotic communication with limited bandwidth has seized the attention of several researchers. This interest stems from the fact that all physical communication channels are limited in bandwidth for data transmission. In furtherance of this, researchers and investigators in this area have put forward various new communication strategies based on synchronizing and controlling coupled chaotic systems evolving in discrete time. In this article, we present a new robust communication scheme based on the synchronization of two fractional-order discrete-time chaotic systems connected by bandlimited channels. The major contribution is to give a sufficient condition in term of the existing and updated parameters of the incorporated fractional-order system on one
hand and the inserted filter coefficients, on the other hand. Once applied for data communications, the currently drawn up synchronization scheme pledges to enhance the transmission robustness. Indeed, the new considered parameters act like novel secret keys which widen the cipher key space. Primary and pertinent simulation curves and results performed on Matlab software portray and illustrate the effectiveness of our approach.

Quasilinearization variational iteration method for system of nonlinear ODEs

“…Sanjay et al [19] proposed a methodology to ensure the existence of chaos in the GTS and chaotic synchronisation of the systems using sliding mode control techniques. Recently, Hamiche et al [20] presented a communication scheme based on the synchronization of two fractional-order discrete-time chaotic systems connected by bandlimited channels.…”