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Adaptive Projective Synchronization and Function Projective Synchronization of Chaotic Neural Networks with Delayed and Non-delayed Coupling

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Advances in Neural Networks – ISNN 2012 (ISNN 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7367))

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Abstract

This paper is involved with adaptive projective synchronization and function projective synchronization of nonlinearly coupled chaotic neural networks with time-varying delayed and non-delayed. Based on the Lyapunov stability theorem and adaptive control method, adaptive control law is presented. Especially, the parameters of this paper are very few, which is different from other papers and easily applied to practice.

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References

  1. Liu, D.R., Xiong, X.X.: Identification of Motifs with Insertions and Deletions in Protein Sequences Using Self-organizing Neural Networks. Neural. Netw. 18, 835–842 (2005)

    Article  Google Scholar 

  2. Shao, H.J., Cai, G.L., Wang, H.X.: An Linear Matrix Inequality Approach to Global Synchronization of Non-parameters Perturbations of Multi-delay Hopfield Neural Network. Chin. Phys. B. 19, 1–6 (2010)

    Article  Google Scholar 

  3. Zhou, J., Xiang, L., Liu, Z.R.: Global Synchronization in General Complex Delayed Dynamical Networks and Its Applications. Phys. A. 385, 729–742 (2007)

    Article  MathSciNet  Google Scholar 

  4. Zheng, S., Bi, Q.S., Cai, G.L.: Adaptive Projective Synchronization in Complex Networks with time-varying coupling delay. Phys. Lett. A. 373, 1553–1559 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  5. Zhang, D., Xu, J.A.: Projective Synchronization of Different Chaotic Time-delayed Neural Networks Based on Integral Sliding Mode Controller. Appl. Math. Comput. 217, 164–174 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  6. Yang, X.S., Zhu, Q.X., Huang, C.X.: Lag Stochastic Synchronization of Chaotic Mixed Time-delayed Neural Networks with Uncertain Parameters or Perturbations. Neurocomputing 74, 1617–1625 (2011)

    Article  Google Scholar 

  7. Feng, J., Wang, S.Q., Wang, Z.S.: Stochastic Synchronization in An array of Neural Networks with Hybrid Nonlinear Coupling. Neurocomputing 74, 3808–3815 (2011)

    Article  MathSciNet  Google Scholar 

  8. Cai, G.L., Wang, H.X., Zheng, S.: Adaptive Function Projective Synchronization of Two Different Hyperchaotic Systems with Unknown Parameters. Chin J. Phys. 47, 662–669 (2009)

    MathSciNet  Google Scholar 

  9. Tang, Y., Wong, W.K., Fang, J.A., Miao, Q.Y.: Pinning Impulsive Synchronization of Stochastic Delayed Coupled Networks. Chin. Phys. B. 20, 1056–1088 (2011)

    Google Scholar 

  10. Zheng, S., Dong, G.G., Bi, Q.S.: Impulsive Synchronization of Complex Networks with Non-delayed Coupling. Phys. Lett. A. 373, 4255–4259 (2009)

    Article  MATH  Google Scholar 

  11. Mainieri, R., Rehacek, J.: Projective Synchronization in Three-dimensioned Chaotic Systems. Phys. Rev. Lett. 82, 3042–3045 (1999)

    Article  Google Scholar 

  12. Wang, X.Y., Men, J.A.: Generalized Projective Synchronization of Chaotic Networks Observer-based Approach. Int. J. Mod. Phys. B. 24, 3351–3363 (2010)

    Article  MATH  Google Scholar 

  13. Cai, G.L., Yao, Q., Shao, H.J.: Global synchronization of weighted cellular neural networks with time-varying coupling delays. Commun. Nonlinear Sci. Numer. Simul. 17, 3843–3847 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  14. Xu, X.J., Lu, H.T.: Generalized Projective Synchronization Between Two Different General Complex Dynamical Networks with Delayed Coupling. Phys. Lett. A. 374, 3932–3941 (2010)

    Article  MathSciNet  Google Scholar 

  15. Cai, G.L., Shao, H.J., Yao, Q.: A Linear Matrix Inequality Approach to Global Synchronization of Multi-Delay Hopeld Neural Networks with Parameter Perturbations. Chin. J. Phys. 50, 86–99 (2012)

    Google Scholar 

  16. Chen, L.P., Chai, Y., Wu, R.C.: Modified Function Projective Synchronization of Chaotic Neural Networks with Delays Based on Observer. Int. J. Mod. Phys C. 22, 169–180 (2011)

    Article  MATH  Google Scholar 

  17. Zhou, J., Chen, T.P.: Synchronization in General Complex Delayed Dynamical Networks. IEEE Trans. Circuits Syst. I. 53, 733–744 (2006)

    Article  Google Scholar 

  18. Guo, W.L., Austin, F., Chen, S.H.: Global Synchronization of Nonlinearly Coupled Complex Networks with Non-delayed and Delayed Coupling. Commun. Nonlinear Sci. Numer. Simul. 15, 1631–1639 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  19. Chai, W.W., Chua, L.O.: Synchronization in an Array of Linearly Coupled Dynamical Systems. IEEE Trans. Circuits Syst. I. 42, 430–447 (1995)

    Article  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Nonlinear Scientific Research center, Jiangsu University, Zhenjiang, Jiangsu, 212013, China

    Guoliang Cai & Hao Ma

  2. School of Mechanical Engineering, Jiangsu University, Zhenjiang, Jiangsu, 212013, China

    Yuxiu Li

Authors
  1. Guoliang Cai
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  2. Hao Ma
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  3. Yuxiu Li
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Editor information

Editors and Affiliations

  1. Department of Mechanical & Automation Engineering, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong

    Jun Wang

  2. School of Electrical and Computer Engineering, Oklahoma State University, 74078, Stillwater, OK, USA

    Gary G. Yen

  3. Department of Electrical and Computer Engineering, University of Cyprus, 75 Kallipoleos Avenue, 1678, Nicosia, Cyprus

    Marios M. Polycarpou

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© 2012 Springer-Verlag Berlin Heidelberg

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Cai, G., Ma, H., Li, Y. (2012). Adaptive Projective Synchronization and Function Projective Synchronization of Chaotic Neural Networks with Delayed and Non-delayed Coupling. In: Wang, J., Yen, G.G., Polycarpou, M.M. (eds) Advances in Neural Networks – ISNN 2012. ISNN 2012. Lecture Notes in Computer Science, vol 7367. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31346-2_33

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  • DOI: https://doi.org/10.1007/978-3-642-31346-2_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31345-5

  • Online ISBN: 978-3-642-31346-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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