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Creating new chaotic signals with reservoir computers

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  • Carroll, Thomas L.

Abstract

While there have been many publications on potential applications of chaos to fields such as communications, radar, sonar, random signal generation, channel equalization and others, designing continuous chaotic systems is still an unsolved problem. There are a number of well known chaotic systems used for applications, but if any application is to become widely used, some way of generating many different chaotic signals is necessary. This work shows that one may use a reservoir computer to create a set of chaotic signals that are correlated but easily distinguishable from one chaotic signal with desirable properties. The ability to distinguish the new signals is demonstrated with a simple communications example.

Suggested Citation

  • Carroll, Thomas L., 2022. "Creating new chaotic signals with reservoir computers," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    • Handle: RePEc:eee:chsofr:v:164:y:2022:i:c:s0960077922008670
    DOI: 10.1016/j.chaos.2022.112688
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    References listed on IDEAS

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    1. L. Appeltant & M.C. Soriano & G. Van der Sande & J. Danckaert & S. Massar & J. Dambre & B. Schrauwen & C.R. Mirasso & I. Fischer, 2011. "Information processing using a single dynamical node as complex system," Nature Communications, Nature, vol. 2(1), pages 1-6, September.
    2. Carroll, Thomas L., 2017. "Communication with unstable basis functions," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 766-771.
    3. Apostolos Argyris & Dimitris Syvridis & Laurent Larger & Valerio Annovazzi-Lodi & Pere Colet & Ingo Fischer & Jordi García-Ojalvo & Claudio R. Mirasso & Luis Pesquera & K. Alan Shore, 2005. "Chaos-based communications at high bit rates using commercial fibre-optic links," Nature, Nature, vol. 438(7066), pages 343-346, November.
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