Chaos computing

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In theoretical computer science, chaos computing is the idea of using chaotic systems for computation. In particular, chaotic systems can be made to produce all types of logic gates and further allow them to be morphed into each other.

In theoretical computer science, chaos computing is the idea of using chaotic systems for computation. In particular, chaotic systems can be made to produce all types of logic gates and further allow them to be morphed into each other. \qquad x_{n+1} = r x_n (1-x_n) . In this case, the value of is chaotic when >~ 3.57... and rapidly switches between different patterns in the value of as one iterates the value of . A simple threshold controller can control or direct the chaotic map or system to produce one of many patterns. The controller basically sets a threshold on the map such that if the iteration ("chaotic update") of the map takes on a value of that lies above a given threshold value, *, then the output corresponds to a 1, otherwise it corresponds to a 0. One can then reverse engineer the chaotic map to establish a lookup table of thresholds that robustly produce any of the logic gate operations. Since the system is chaotic, various gates ("patterns") can be switch between exponentially fast.

Research

Recent research has shown how chaotic computers can be recruited in fault tolerant applications, by introduction of dynamic based fault detection methods. Also it has been demonstrated that multidimensional dynamical states available in a single ChaoGate can be exploited to implement parallel chaos computing, and as an example, this parallel architecture can lead to constructing an SR like memory element through one ChaoGate. As another example, it has been proved that any logic function can be constructed directly from just one ChaoGate. Chaos allows order to be found in such diverse systems as the atmosphere, heart beating, fluids, seismology, metallurgy, physiology, or the behavior of a stock market.

Text derived from https://en.wikipedia.org/w/index.php?oldid=1321790260 under CC BY-SA 4.0; modifications have been made.

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