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Period doubling, Feigenbaum constant and time series prediction in an experimental chaotic RLD circuit

Author

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  • Hanias, M.P.
  • Avgerinos, Z.
  • Tombras, G.S.

Abstract

An experimental setup of a chaotic resistor-inductor diode (RLD) circuit is presented. Following step-by-step its route to chaos through period doubling, Feigenbaum constant δ is calculated and its value is verified with noticeable accuracy. In addition, the analysis of the corresponding strange attractor shows that one- and multi-step prediction of the corresponding chaotic time series can be achieved in a real RLD circuit.

Suggested Citation

  • Hanias, M.P. & Avgerinos, Z. & Tombras, G.S., 2009. "Period doubling, Feigenbaum constant and time series prediction in an experimental chaotic RLD circuit," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1050-1059.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:3:p:1050-1059
    DOI: 10.1016/j.chaos.2007.08.061
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    Cited by:

    1. Dong, Chengwei & Yang, Min & Jia, Lian & Li, Zirun, 2024. "Dynamics investigation and chaos-based application of a novel no-equilibrium system with coexisting hidden attractors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 633(C).
    2. Febbe, Diego & Mannella, Riccardo & Meucci, Riccardo & Di Garbo, Angelo, 2024. "Dynamical behaviour of a new model for the UJT relaxation oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).

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