On the FPGA-Based Implementation of the Synchronization of Chaotic Oscillators in Master-Slave Topology (I)

Resumen: Chaotic oscillators have been implemented using embedded systems like field-programmable gate arrays (FPGAs). Their applications in secure communications require the synchronization of them in a master-slave topology, for instance. However, this is not a trivial task because one must guarantee a low synchronization error that depends on the selection of an appropriate step-size of a numerical method. That way, this paper describes how to select the step-size for a successful simulation and how to implement the master-slave synchronization of two chaotic oscillators using FPGAs. We discuss details on the numerical simulation of the synchronization using the seminal work of Pecora & Carroll and also discuss FPGA issues. Finally, we implement a chaotic secure communication system to show that synchronization methods with high error produce loss of data, as shown by the transmission and reception of a color image using two chaotic oscillators.

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Omar Guillen-Fernandez, Alejandro Silva-Juarez, Ashley Melendez-Cano, Jose Cruz Nuñez-Perez & Esteban Tlelo-Cuautle. On the FPGA-Based Implementation of the Synchronization of Chaotic Oscillators in Master-Slave Topology (I). Memorias del Congreso Nacional de Control Automático, pp. 582-587, 2018.

Palabras clave

Chaos, synchronization, FPGA, secure communication system, numerical method, image processing

• Alam, M.M., Chowdhury, S., Park, B., Munzer, D., Maghari, N., Tehranipoor, M., and Forte, D. (2018). Challenges and opportunities in analog and mixed signal (ams) integrated circuit (ic) security. Journal of Hardware and Systems Security, 2(1), 15–32.
• Boubaker, O. and Jafari, S. (2018). Recent Advances in Chaotic Systems and Synchronization: From Theory to Real World Applications.
• Jovic, B. (2011). Synchronization techniques for chaotic communication systems. Springer Science & Business Media.
• Pecora, L.M. and Carroll, T.L. (1990). Synchronization in chaotic systems. Physical review letters, 64(8), 821.
• Pecora, L.M. and Carroll, T.L. (1998). Master stability functions for synchronized coupled systems. Physical review letters, 80(10), 2109.
• Sprott, J.C. (1994). Some simple chaotic flows. Phys. Rev. E, 50, R647–R650. doi:10.1103/PhysRevE.50.R647. URL https://link.aps.org/doi/10.1103/PhysRevE.50.
• Sprott, J.C. (2003). Chaos and time-series analysis, volume 69. Citeseer.
• Tlelo-Cuautle, E., de la Fraga, L., and Rangel-Magdaleno, J. (2016). Engineering applications of FPGAs. Springer.
• Wang, T., Wang, D., and Wu, K. (2018). Chaotic adaptive synchronization control and application in chaotic secure communication for industrial internet of things. IEEE Access, 6, 8584–8590.