Abstract
This paper deals with the projective synchronization (PS) of two identical discrete-time generalized four-dimensional (4D) hyperchaotic Henon maps using a master-slave configuration. A discrete sliding mode controller (DSMC) scheme is proposed to synchronize the master and the slave systems. The performance of the controlled systems is simulated; the simulation results indicate that the proposed controller works well. In addition, a secure communication scheme is proposed based on the developed control scheme. The validity of the proposed scheme is tested by transmitting an image and simulating the results. The simulation results clearly indicate the effectiveness of the proposed secure communication scheme.
Highlights
Chaos synchronization refers to the process wherein two or more chaotic systems adjust a given property of their motion to a common behavior by either coupling or forcing [1]
The MATLAB software is used to simulate the performances of the controlled systems
The projective synchronization problem is investigated for the hyperchaotic 4D Henon maps
Summary
Chaos synchronization refers to the process wherein two or more chaotic systems adjust a given property of their motion to a common behavior by either coupling or forcing [1]. Depending upon the particular coupling configuration, the process leading to synchronized states is divided into two cases. These two cases are unidirectional coupling and bidirectional coupling. The coupling factor induces an adjustment of the rhythms onto a common synchronized manifold. A mutual synchronization behavior will be induced. This situation appears in nonlinear optics such as lasers [2], in physiology [3] or between interacting neurons [4]
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