Chaotic Synchronization in Ultra-Wide-Band Communication and Positioning Systems

This paper investigates synchronization transitions in a system of coupled Rössler type nonidentical self-sustained chaotic oscillators. The interest in Rössler oscillators is due to their chaotic behavior at very high frequencies. Both phase synchronization and lag synchronization are analyzed numerically considering coupling parameters. It is shown that both types of synchronization can be achieved by monitoring the coupling parameters. The advantage of using one parameter to ensure both types of synchronization is found in practice. Another advantage of monitoring only one resistor is found in the accuracy of results. One resistor is used to predict the boundaries of the control resistor for the occurrence of each type of synchronization. An experimental study of the synchronization is carried out in this paper. An appropriate electronic circuit describing the coupled oscillators is designed and realized. Experimental wave forms in the drive and response systems are obtained and their comparison done to confirm the achievement of synchronization. The analog simulation is advantageous to analyze the behavior of the coupled system at very high frequencies at appropriate time scaling and offers the possibility of using our coupled system for ultra-wide-band applications.