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Efficient Non Linear Time Series Prediction Using Non Linear Signal Analysis and Neural Networks in Chaotic Diode Resonator Circuits

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Advances in Data Mining. Theoretical Aspects and Applications (ICDM 2007)

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Abstract

A novel non linear signal prediction method is presented using non linear signal analysis and deterministic chaos techniques in combination with neural networks for a diode resonator chaotic circuit. Multisim is used to simulate the circuit and show the presence of chaos. The Time series analysis is performed by the method proposed by Grasberger and Procaccia, involving estimation of the correlation and minimum embedding dimension as well as of the corresponding Kolmogorov entropy. These parameters are used to construct the first stage of a one step / multistep predictor while a back-propagation Artificial Neural Network (ANN) is involved in the second stage to enhance prediction results. The novelty of the proposed two stage predictor lies on that the backpropagation ANN is employed as a second order predictor, that is as an error predictor of the non-linear signal analysis stage application. This novel two stage predictor is evaluated through an extensive experimental study.

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References

  1. Lonngren, K.E.: Notes to accompany a student laboratory experiment on chaos. IEEE Transactions on Education 34(1) (1991)

    Google Scholar 

  2. Matsumato, T., Chua, L., Tanaka, S.: Simplest Chaotic Nonautonomous Circuit. Phys. Rev. A 30, 1155–1157 (1984)

    Article  Google Scholar 

  3. Azzouz, A., Hasler, M.: Orbits of the R-L-Diode Circuit. IEEE Transaction on Circuits and Systems 37, 1330–1339 (1990)

    Article  MATH  Google Scholar 

  4. Aissi, C.: Introducing chaotic circuits in an undergraduate electronic course. In: Proceedings of the 2002 ASEE Gulf-Southwest Annual Conference,The University of Louisiana at Lafayette, March 20-22, 2002.Copyright © 2002, American Society for Engineering Education (2002)

    Google Scholar 

  5. de Moraes, R.M., Anlage, S.M.: Unified model and reverse recovery nonlinearities of the driven diode resonator. Phys. Rev. E. 68, 26–201 (2003)

    Article  Google Scholar 

  6. Hanias, M.P., Giannaris, G., Spyridakis, A., Rigas, A.: Time series Analysis in chaotic diode resonator circuit. Chaos Solitons & fractals 27(2), 569–573 (2006)

    Article  MATH  Google Scholar 

  7. Grassberger, P., Procaccia, I.: Characterization of strange attractors. Phys. Rev. Lett. 50, 346–349 (1983)

    Article  Google Scholar 

  8. Grassberger, P., Procaccia, I.: Measuring the strangeness of strange attractors. Physica D 9, 189 (1983)

    Article  MATH  Google Scholar 

  9. Hanias, M.P., Kalomiros, J.A., Karakotsou, C., Anagnostopoulos, A.N., Spyridelis, J.: Quasi-Periodic and Chaotic Self - Excited Voltage Oscillations in TlInTe2. Phys. Rev. B. 49, 16994 (1994)

    Article  Google Scholar 

  10. Mozdy, E., Newell, T.C., Alsing, P.M., Kovanis, V., Gavrielides, A.: Synchronization and control in a unidirectionally coupled array of chaotic diode resonators. Physical Review E. 51(6), 5371–5376 (1995)

    Article  Google Scholar 

  11. Abarbanel, H.D.I.: Analysis of Observed Chaotic Data. Springer, New York (1996)

    MATH  Google Scholar 

  12. Takens, F.: Lecture Notes in Mathematics 898 (1981)

    Google Scholar 

  13. Kantz, H., Schreiber, T.: Nonlinear Time Series Analysis. Cambridge University Press, Cambridge (1997)

    MATH  Google Scholar 

  14. Aasen, T., Kugiumtzis, D., Nordahl, S.H.G.: Procedure for Estimating the Correlation Dimension of Optokinetic Nystagmus Signals. Computers and Biomedical Research 30, 95–116 (1997)

    Article  Google Scholar 

  15. Fraser, A.M., Swinney, H.L.: Independent coordinates for strange attractors from mutual information. Phys. Rev. A. 33, 1134–1140 (1986)

    Article  Google Scholar 

  16. Fraser, A.M.: IEEE transaction of information Theory 35, 245 (1989)

    Google Scholar 

  17. Kononov, E.: Virtual Recurrence Analysis, Version 4.9 (2006), (email:eugenek@ix.net.com.com)

    Google Scholar 

  18. Haykin, S.: Neural Networks, a comprehensive foundation, 2nd edn. Prentice-Hall, Englewood Cliffs (1999)

    MATH  Google Scholar 

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Petra Perner

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Hanias, M.P., Karras, D.A. (2007). Efficient Non Linear Time Series Prediction Using Non Linear Signal Analysis and Neural Networks in Chaotic Diode Resonator Circuits. In: Perner, P. (eds) Advances in Data Mining. Theoretical Aspects and Applications. ICDM 2007. Lecture Notes in Computer Science(), vol 4597. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73435-2_26

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  • DOI: https://doi.org/10.1007/978-3-540-73435-2_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-73434-5

  • Online ISBN: 978-3-540-73435-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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