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Adaptive Synchronization of Delayed Chaotic Systems

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Advances in Neural Networks - ISNN 2008 (ISNN 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5263))

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Abstract

In this paper the adaptive synchronization between two delayed chaotic systems with uncertain parameters is investigated. The sufficient condition for parameter identification is derived based on the Lyapunov stability theory. Through choosing the appropriate adaptive controller, parameter identification and adaptive synchronization can be achieved simultaneously. Finally, numerical results illustrate the effectiveness of the theorems.

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References

  1. Chen, G.R., Ueta, T.: Chaos in Circuits and Systems. World Scientific, Singapore (2002)

    MATH  Google Scholar 

  2. Thangavel, P., Murali, K., Lakshmanan, M.: Bifurcation and Controlling of Chaotic Delayed Cellular Neural Networks. International Journal of Bifurcation and Chaos 8, 2481–2492 (1998)

    Article  MATH  Google Scholar 

  3. Pecora, L.M., Carroll, T.L.: Synchronization in Chaotic Systems. Physical Review Letters 64, 821–824 (1990)

    Article  MathSciNet  Google Scholar 

  4. Li, S., Alvarez, G., Chen, G.: Breaking a Chaos-based Secure Communication Scheme Designed by an Improved Modulation Method. Chaos, Solitons & Fractals 25, 109–120 (2005)

    Article  MATH  Google Scholar 

  5. Liao, T., Tsai, S.: Adaptive Synchronization of Chaotic Systems and Its Application to Secure Communications. Chaos, Solitons & Fractals 11, 1387–1396 (2000)

    Article  MATH  Google Scholar 

  6. Wang, C., Su, J.: A New Adaptive Variable Structure Control for Chaotic Synchronization and Secure Communication. Chaos, Solitons & Fractals 20, 967–977 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  7. Yu, W.W., Cao, J.D.: Adaptive Synchronization and Lag Synchronization of Uncertain Dynamical System with Time Delay Based on Parameter Identification. Physica A 375, 467–482 (2007)

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. School of Electronics & Information Engineering, Southwest University, Chongqing, 400715, PR China

    Lidan Wang & Shukai Duan

Authors
  1. Lidan Wang
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  2. Shukai Duan
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Editor information

Editors and Affiliations

  1. Department of Computer Science and Technology, Tsinghu University, 100084, Beijing, China

    Fuchun Sun

  2. Institute TAMS (Technical Aspects of Multimodal Systems), department of Informatics, University of Hamburg, Vogt-Koelln-Straße 30, 22527, Hamburg, Germany

    Jianwei Zhang

  3. Intel China Research Center, 8/F, Peking University, Department of Machine Intelligence, 100871, Beijing, China

    Ying Tan

  4. Department of Mathematics, Southeast University, 210096, Nanjing, China

    Jinde Cao

  5. Departamento de Control Automático, CINVESTAV-IPN, A.P. 14-740, Av.IPN 2508, 07360, México D.F., México

    Wen Yu

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© 2008 Springer-Verlag Berlin Heidelberg

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Wang, L., Duan, S. (2008). Adaptive Synchronization of Delayed Chaotic Systems. In: Sun, F., Zhang, J., Tan, Y., Cao, J., Yu, W. (eds) Advances in Neural Networks - ISNN 2008. ISNN 2008. Lecture Notes in Computer Science, vol 5263. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87732-5_40

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  • DOI: https://doi.org/10.1007/978-3-540-87732-5_40

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-87731-8

  • Online ISBN: 978-3-540-87732-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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