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Control and synchronization of chaotic systems by differential evolution algorithm

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  • Liu, Bo
  • Wang, Ling
  • Jin, Yi-Hui
  • Huang, De-Xian
  • Tang, Fang

Abstract

This paper applies a novel evolutionary algorithm named differential evolution (DE) to direct the orbits of discrete chaotic dynamical systems towards desired target region within a short time by adding only small bounded perturbations, which could be formulated as a multi-modal numerical optimization problem with high dimension. Moreover, the synchronization of chaotic systems is also studied, which can be dealt with as an online problem of directing orbits. Numerical simulations based on Hénon Map demonstrate the effectiveness and efficiency of DE, and the effects of some parameters are investigated as well.

Suggested Citation

  • Liu, Bo & Wang, Ling & Jin, Yi-Hui & Huang, De-Xian & Tang, Fang, 2007. "Control and synchronization of chaotic systems by differential evolution algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 412-419.
    • Handle: RePEc:eee:chsofr:v:34:y:2007:i:2:p:412-419
    DOI: 10.1016/j.chaos.2006.03.033
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    References listed on IDEAS

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    8. Elabbasy, E.M. & Agiza, H.N. & El-Dessoky, M.M., 2005. "Global synchronization criterion and adaptive synchronization for new chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1299-1309.
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    Cited by:

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    2. Ghayyur Hussain & Muhammad Siddique & Muhammad Majid Hussain & Muhammad Tahir Hassan & Naeem Aslam, 2021. "Synchronization of N-Non-Linear Slave Systems with Master System Using Non-Adaptive and Adaptive Coupled Observers," Energies, MDPI, vol. 14(11), pages 1-16, May.
    3. Lin, Shih-Lin & Tung, Pi-Cheng, 2009. "A new method for chaos control in communication systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3234-3241.
    4. Coelho, Leandro dos Santos & Sauer, João Guilherme & Rudek, Marcelo, 2009. "Differential evolution optimization combined with chaotic sequences for image contrast enhancement," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 522-529.
    5. Santos Coelho, Leandro dos & de Andrade Bernert, Diego Luis, 2009. "An improved harmony search algorithm for synchronization of discrete-time chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2526-2532.
    6. Coelho, Leandro dos Santos, 2009. "Reliability–redundancy optimization by means of a chaotic differential evolution approach," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 594-602.

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