Synchronization with message embedded for generalized Lorenz chaotic circuits and its error analysis

The main concern in this brief is how to design a better receiver structure and its synchronization error analysis. By exploiting a skew-symmetric type property existing in generalized Lorenz chaotic systems, we propose a novel receiver design for synchronizing the transmitter-receiver pair. Error analysis carried out by the Lyapunov direct method explicitly shows the relation among the magnitudes of the synchronization error, coupling noise, transmitter parameters, and signals. If no noise or message exists in the coupling channel, then exponential synchronization can be achieved for all state signals. As a guideline from the error analysis, a more suitable receiver can be successfully designed and implemented. Experiments are carried out on the circuit of the transmitter-receiver pair to show the performance of the synchronization and secure communication.