2012 BFY Abstract Detail Page
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Abstract Title: 
W02  Synchronization and Encryption with a Pair of Simple Chaotic Circuits 
Abstract: 
In recent years, students in Taylor University's Physics Capstone Course have built pairs of nearly identical chaotic circuits that they have used to encrypt, and subsequently decrypt, a signal. These circuits can be constructed using inexpensive parts and can also be modeled very accurately using relatively simple differential equations. Students have found the construction and analysis of these systems to be technically challenging, yet, ultimately, very rewarding. Two methods of encryption have been studied to date; both methods will be demonstrated in this workshop. In the first approach, a digital potentiometer in one of the chaotic circuits is switched back and forth between two settings (corresponding to "ones" and "zeros") in such a way that a binary data stream is encrypted within the chaotic output of the circuit. The other circuit is used to decrypt this data stream. In the second approach, a small analog signal is added to the chaotic output of the first circuit, and is then extracted by the second circuit. In both approaches, the decryption of the signal relies on the fact that the second circuit is able to synchronize its output to the output of the first circuit if the two circuits are identical to each other. Changing the value of one of the resistors in the first circuit (as in the first approach), or adding a spurious signal to its output (as in the second approach), causes the second circuit to be unable to synchronize with the first. In both cases, comparison of the output of the second circuit to that of the first allows for the recovery of the original signal.
Reference: Ken Kiers, Dory Schmidt and J.C. Sprott, "Precision Measurements of a Simple Chaotic Circuit," Am. J. Phys. 72, pp. 503509, 2004. 
Abstract Type: 
Workshop

Workshop Documents 
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Contributed Paper 
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Author/Organizer Information 
Primary Contact: 
Ken Kiers
Taylor University

