Summary

Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications

2012

Session Number:A4L-D

Session:

Number:272

Random Number Generation Based on the Rossler Attractor

Vincent Canals,  Antoni Morro,  Josep L. Rosselló,  

pp.272-275

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.1.272

PDF download (831KB)

A random number generator using a chaotic circuit is proposed and analyzed, for this purpose, a robust implementation of the Rôssler attractor is designed and measured. The chaotic circuit is designed to provide both a chaotic and a periodic binary output. The chaotic analogue circuit is connected to a digital system to provide random bit sequences.

[1] J. Wu, J. Hou, Y. Zhang and T. Wang, “Secure communications via synchronized chaotic circuit,” in Proc. Int. Conf. on Signal Processing vol. 2, Beijing, 2002, pp. 1552-1555.

[2] A.J.K Klomkarn, P Sooraksa “Further investigation on trajectory of chaotic guiding signals for robotic systems,” in Proc. Int. Symp. On Communications and Information Technologies, Sapporo, Japan, 2004, vol. 2, pp. 1166-1170.

[3] M. Delgado-Restituto, A. Rodriguez-Vazquez, “Integrated chaos generators,” Proceedings of the IEEE, vol. 90, pp. 747-767, May 2002.

[4] C.C. Wang, J.M. Huang, H.C. Cheng, R. Hu, “Switched-current 3-bit CMOS 4.0-MHz wideband random signal generator,” IEEE J. Solid-State Circuits, vol. 40, pp. 1360-1365, June 2005.

[5] M.J. Bellido, A.J. Acosta, M. Valencia, A. Barriga and J.L. Huertas, “Simple binary random number generator,” Electronics Lett., vol. 28, no. 7, pp. 617-618, March 1992.

[6] T. Tanaka and E. Hiura, “Dynamic behavior of a chaotic neural network and its application to optimization problems,” in Proc. Int. Joint Conf. on Neural Networks, Montreal, Canada, 2005, pp. 753-757.

[7] L.O.Chua, “The Genesis of Chua's circuit,” Int. J Electronics Communications, vol 46, pp. 250-257, 1992.

[8] T. Matsumoto, “A Chaotic Attractor from Chua's Circuit,” IEEE Trans. Circuits Syst., vol CAS-31, no. 12, pp. 1055-1058, Dec. 1984.

[9] J.M Cruz and L.O. Chua, “An IC Chip of Chua's Circuit,” IEEE Trans. Circuits Syst II. , vol 40, no. 10, pp. 614-625, Oct. 1993.

[10] Y. Hosokawa et. al.”A Design Method of Chaotic Circuits using an Oscillator and a Resonator” In Proc. International Symposium on Circuits and Systems 2001, vol III, pp. 373-376.

[11] H Nakano et. al.”A Simple Nonautonomous Chaotic Circuit with a Periodic Pulse-Train Input” In Proc. International Symposium on Circuits and Systems 2003, vol III, pp. 108-111.

[12] A.S. Elwakil ”Nonautonomous pulse-driven chaotic oscillator based on Chua's circuit” In Proc. International Symposium on Circuits and Systems 2003, vol III, pp. 136-139.

[13] Rôssler, “An Equation for continuous chaos” Phy. Lett. A, 57, pp. 397-398, 1976.