Transfer of information between synchronized chaotic systems

Priya G. Vaidya; Rong He

doi:10.1117/12.162674

18 November 1993 Transfer of information between synchronized chaotic systems

Priya G. Vaidya, Rong He

Proceedings Volume 2038, Chaos in Communications; (1993) https://doi.org/10.1117/12.162674
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

Chaotic systems are known for their sensitivity to initial conditions. However, Pecora and Carroll have recently shown that a system, consisting of two Lorenz oscillators exhibiting chaos, could achieve synchronization, if a portion of the second system is driven by the corresponding portion of the first. It has been shown that the chaotic synchronization is related to asymptotic stability and that the method of the Lyapunov function can be used to prove synchronization, and to generate new systems exhibiting this phenomenon. In this paper, the main issue is that of the transfer of information between such synchronous chaotic systems. It has been shown that for a mutual transfer of information, a new type of synchronous organization is required. It leads to what we have termed as `the fraternal synchronization.' We have enumerated several interesting properties of fraternal synchronization, and followed it with a discussion of potential applications to parameter identification, communications and cryptography. Applications to biology and other fields are also briefly mentioned.

Citation Download Citation

Priya G. Vaidya and Rong He "Transfer of information between synchronized chaotic systems", Proc. SPIE 2038, Chaos in Communications, (18 November 1993); https://doi.org/10.1117/12.162674

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