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Using Differential Evolution Algorithm in Six-Dimensional Chaotic Synchronization Systems

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Nostradamus: Modern Methods of Prediction, Modeling and Analysis of Nonlinear Systems

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 192))

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Abstract

This paper presents the use of artificial intelligence in the synchronization between two six-dimensional chaotic systems. Differential evolution algorithm is used to estimate the unknown parameters of six-dimensional chaotic synchronization system via Pecora and Carroll method. The parameters are estimated by minimizing the synchronization errors, and they are used to synchronize two systems. The optimal values ensure that the best quality of the synchronization is achieved.

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References

  1. Cuomo, K., Oppenheim, A.: Circuit implementation of synchronized chaos with applications to communications. Physical Review Letters 71(1), 65–68 (1993)

    Article  Google Scholar 

  2. Dung, N.: Chaos synchronization in none-ideal channel by differential evolution algorithm. In: 16th International Conference on Soft Computing Mendel 2010. Brno Univ. Technology Vut Press (2010)

    Google Scholar 

  3. Dung, N., Zelinka, I.: Chaos theory in secure communication. In: MENDEL 2009 (2009)

    Google Scholar 

  4. Güémez, J., Matías, M.: Modified method for synchronizing and cascading chaotic systems. Physical Review E 52(3), 2145–2148 (1995)

    Article  Google Scholar 

  5. Kennamer, K.: Studies of the onset of chaos in the lorenz and generalized lorenz systems. Master’s thesis, University of Alabama in Huntsville (1995)

    Google Scholar 

  6. Onwubolu, G., Davendra, D.: Differential evolution: A handbook for global permutation-based combinatorial optimization, vol. 175. Springer (2009)

    Google Scholar 

  7. Parlitz, U.: Estimating model parameters from time series by autosynchronization. Physical Review Letters 76(8), 1232–1235 (1996)

    Article  Google Scholar 

  8. Parlitz, U., Junge, L., Kocarev, L.: Synchronization-based parameter estimation from time series. Physical Review E 54(6), 6253–6259 (1996)

    Article  Google Scholar 

  9. Pecora, L., Carroll, T.: Synchronization in chaotic systems. Physical Review Letters 64(8), 821–824 (1990)

    Article  MathSciNet  Google Scholar 

  10. Storn, R., Price, K.: Differential evolution-a simple and efficient adaptive scheme for global optimization over continuous spaces. In: International Computer Science Institute-Publications-TR (1995)

    Google Scholar 

  11. Yu, H., Liu, Y.: Chaotic synchronization based on stability criterion of linear systems. Physics Letters A 314(4), 292–298 (2003)

    Article  MathSciNet  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Faculty of Applied Informatics, Tomas Bata University in Zlin, Nad Stranemi 4511, 76005, Zlin, Czech Republic

    Thanh Dung Nguyen

  2. Faculty of Technology, Tomas Bata University in Zlin, Namesti T. G. Masaryka 275, 76272, Zlin, Czech Republic

    T. T. Dieu Phan

  3. Faculty of Electrical Engineering and Computing Science, Technical University of Ostrava, Tr. 17. Listopadu 15, Ostrava, Czech Republic

    Ivan Zelinka

Authors
  1. Thanh Dung Nguyen
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  2. T. T. Dieu Phan
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  3. Ivan Zelinka
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Corresponding author

Correspondence to Thanh Dung Nguyen .

Editor information

Editors and Affiliations

  1. Faculty of Electrical Engineering and Co, Department of Computer Science, VÅ B-Technical University of Ostrava, 17. listopadu 15, Ostrava-Poruba, 70833, Czech Republic

    Ivan Zelinka

  2. Institute of Physical and, Theoretical Chemistry, University of Tuebingen, Auf der Morgenstelle 8, Tuebingen, 72076, Germany

    Otto E. Rössler

  3. , Faculty of Electrical Engineering, Department of Computer Science, 17. listopadu 15, Ostrava-Poruba, 708 33, Czech Republic

    Václav Snášel

  4. (MIR Labs), Scientific Network for Innovation and, Machine Intelligence Research Labs, MIR Labs Campus, Auburn, 98071, Washington, USA

    Ajith Abraham

  5. , Dept. de Informática y Automática, University of Salamanca, Plaza de la Merced, s/n, Salamanca, 37008, Spain

    Emilio S. Corchado

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Nguyen, T.D., Phan, T.T.D., Zelinka, I. (2013). Using Differential Evolution Algorithm in Six-Dimensional Chaotic Synchronization Systems. In: Zelinka, I., Rössler, O., Snášel, V., Abraham, A., Corchado, E. (eds) Nostradamus: Modern Methods of Prediction, Modeling and Analysis of Nonlinear Systems. Advances in Intelligent Systems and Computing, vol 192. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33227-2_23

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  • DOI: https://doi.org/10.1007/978-3-642-33227-2_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33226-5

  • Online ISBN: 978-3-642-33227-2

  • eBook Packages: EngineeringEngineering (R0)

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