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Nonlinear determinism in degenerated combustion instability in a gas-turbine model combustor

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  • Kobayashi, Hiroaki
  • Gotoda, Hiroshi
  • Tachibana, Shigeru

Abstract

We present a detailed study on the dynamic behavior of pressure fluctuations in degenerated combustion instability [Gotoda et al. Phys. Rev. E 92 (2015) 052906] in a lean premixed gas-turbine model combustor in terms of symbolic dynamics, statistical complexity, complex networks, and nonlinear forecasting. The permutation spectrum test enables us to extract nonlinear determinism in degenerated combustion instability. The possible presence of chaotic dynamics in degenerated combustion instability is reasonably shown by considering the multiscale complexity–entropy causality plane incorporating a scale-dependent approach.

Suggested Citation

  • Kobayashi, Hiroaki & Gotoda, Hiroshi & Tachibana, Shigeru, 2018. "Nonlinear determinism in degenerated combustion instability in a gas-turbine model combustor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 345-354.
    • Handle: RePEc:eee:phsmap:v:510:y:2018:i:c:p:345-354
    DOI: 10.1016/j.physa.2018.06.024
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    1. Lamberti, P.W & Martin, M.T & Plastino, A & Rosso, O.A, 2004. "Intensive entropic non-triviality measure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 334(1), pages 119-131.
    2. Jauregui, M. & Zunino, L. & Lenzi, E.K. & Mendes, R.S. & Ribeiro, H.V., 2018. "Characterization of time series via Rényi complexity–entropy curves," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 498(C), pages 74-85.
    3. Yao, Qiwei & Tong, Howell, 1998. "A bootstrap detection for operational determinism," LSE Research Online Documents on Economics 6697, London School of Economics and Political Science, LSE Library.
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    1. Rahmoune, Mohamed Ben & Hafaifa, Ahmed & Kouzou, Abdellah & Chen, XiaoQi & Chaibet, Ahmed, 2021. "Gas turbine monitoring using neural network dynamic nonlinear autoregressive with external exogenous input modelling," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 179(C), pages 23-47.

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