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Applications of recurrence quantified analysis to study the dynamics of chaotic chemical reaction

Author

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  • Castellini, H.
  • Romanelli, L.

Abstract

Recurrence plot is a quite easy tool to be used in time-series analysis, in particular for measuring unstable periodic orbits embedded in a chaotic dynamical system. Recurrence quantified analysis (RQA) is an advanced tool that allows the study of intrinsic complexity of a dynamical system with a set of few parameters. We use RQA for measuring chaotic transitions of Nicotinamide adenine dinucleotide (NADH) chemical reaction and to determine numerically its characteristic parameters such as: correlation integral, information entropy, Maximal Lyapunov's exponent, etc. For this work we have developed command sets with a better performance than TISEAN package.

Suggested Citation

  • Castellini, H. & Romanelli, L., 2004. "Applications of recurrence quantified analysis to study the dynamics of chaotic chemical reaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 342(1), pages 301-307.
    • Handle: RePEc:eee:phsmap:v:342:y:2004:i:1:p:301-307
    DOI: 10.1016/j.physa.2004.06.028
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    Cited by:

    1. Bigdeli, N. & Afshar, K., 2009. "Characterization of Iran electricity market indices with pay-as-bid payment mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(8), pages 1577-1592.
    2. Bigdeli, Nooshin & Afshar, Karim & Gazafroudi, Amin Shokri & Ramandi, Mostafa Yousefi, 2013. "A comparative study of optimal hybrid methods for wind power prediction in wind farm of Alberta, Canada," Renewable and Sustainable Energy Reviews, Elsevier, vol. 27(C), pages 20-29.
    3. Bigdeli, N. & Afshar, K., 2009. "Chaotic behavior of price in the power markets with pay-as-bid payment mechanism," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2560-2569.

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