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Volumn 52, Issue 1-2, 2010, Pages 12-24

Global exponential synchronization in delayed reaction-diffusion cellular neural networks with the Dirichlet boundary conditions

Author keywords

Cellular neural networks; Delay; Dirichlet boundary condition; Global exponential synchronization; Reaction diffusion

Indexed keywords

ASYMPTOTIC SYNCHRONIZATION; DELAYED NEURAL NETWORKS; DIFFUSION COEFFICIENTS; DIRICHLET BOUNDARY CONDITION; EXPONENTIAL SYNCHRONIZATION; GLOBAL EXPONENTIAL SYNCHRONIZATION; INEQUALITY TECHNIQUES; LYAPUNOV FUNCTIONAL METHOD; NUMERICAL EXAMPLE; REACTION DIFFUSION; REACTION-DIFFUSION TERMS; SUFFICIENT CONDITIONS; TIME VARYING;

EID: 77953126784     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2009.05.038     Document Type: Article
Times cited : (50)

References (40)
  • 2
    • 0343689904 scopus 로고
    • Synchronization in chaotic systems
    • Pecora L.M., and Carroll T.L. Synchronization in chaotic systems. Phys. Rev. Lett. 64 (1990) 821-824
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 821-824
    • Pecora, L.M.1    Carroll, T.L.2
  • 3
    • 2442614717 scopus 로고    scopus 로고
    • Stability analysis for the synchronization of chaotic systems with different order: Application to secure communications
    • Bowong S. Stability analysis for the synchronization of chaotic systems with different order: Application to secure communications. Phys. Lett. A 326 (2004) 102-113
    • (2004) Phys. Lett. A , vol.326 , pp. 102-113
    • Bowong, S.1
  • 4
    • 0038222420 scopus 로고    scopus 로고
    • An adaptive chaos synchronization scheme applied to secure communications
    • Feki M. An adaptive chaos synchronization scheme applied to secure communications. Chaos Solitons Fractals 18 (2003) 141-148
    • (2003) Chaos Solitons Fractals , vol.18 , pp. 141-148
    • Feki, M.1
  • 5
    • 41349090048 scopus 로고    scopus 로고
    • Using geometric control and chaotic synchronization to estimate an unknown model parameter
    • Freitas U.S., Macau E.E.N., and Grebogi C. Using geometric control and chaotic synchronization to estimate an unknown model parameter. Phys. Rev. E 71 (2005) 047203
    • (2005) Phys. Rev. E , vol.71 , pp. 047203
    • Freitas, U.S.1    Macau, E.E.N.2    Grebogi, C.3
  • 6
    • 0038733913 scopus 로고    scopus 로고
    • Synchronization-based approach for estimating all model parameters of chaotic systems
    • Konnur R. Synchronization-based approach for estimating all model parameters of chaotic systems. Phys. Rev. E 67 (2003) 027204
    • (2003) Phys. Rev. E , vol.67 , pp. 027204
    • Konnur, R.1
  • 7
    • 34547913095 scopus 로고    scopus 로고
    • Impulsive synchronization of chaotic Lur'e systems by linear state measurement feedback: An LMI approach
    • Lu J., and Hill D.J. Impulsive synchronization of chaotic Lur'e systems by linear state measurement feedback: An LMI approach. IEEE Trans. Circuits Syst. II: Express Briefs 54 (2007) 710-714
    • (2007) IEEE Trans. Circuits Syst. II: Express Briefs , vol.54 , pp. 710-714
    • Lu, J.1    Hill, D.J.2
  • 8
    • 6444234243 scopus 로고    scopus 로고
    • Synchronization analysis of linearly coupled networks of discrete time systems
    • Lu W., and Chen T. Synchronization analysis of linearly coupled networks of discrete time systems. Physica D 198 (2004) 148-168
    • (2004) Physica D , vol.198 , pp. 148-168
    • Lu, W.1    Chen, T.2
  • 9
    • 0037156708 scopus 로고    scopus 로고
    • Stability of synchronized chaos in coupled dynamical systems
    • Rangarajan G., and Ding M. Stability of synchronized chaos in coupled dynamical systems. Phys. Lett. A 296 (2002) 204-209
    • (2002) Phys. Lett. A , vol.296 , pp. 204-209
    • Rangarajan, G.1    Ding, M.2
  • 10
    • 0034499813 scopus 로고    scopus 로고
    • Synchronization of randomly multiplexed chaotic systems with application to communication
    • Sundar S., and Minai A.A. Synchronization of randomly multiplexed chaotic systems with application to communication. Phys. Rev. Lett. 85 (2000) 5456-5459
    • (2000) Phys. Rev. Lett. , vol.85 , pp. 5456-5459
    • Sundar, S.1    Minai, A.A.2
  • 12
    • 32844462800 scopus 로고    scopus 로고
    • Multistability and stable asynchronous periodic oscillations in a multiple-delayed neural networks
    • Campbell S.A., Ncube I., and Wu J. Multistability and stable asynchronous periodic oscillations in a multiple-delayed neural networks. Physica D 214 (2006) 101-119
    • (2006) Physica D , vol.214 , pp. 101-119
    • Campbell, S.A.1    Ncube, I.2    Wu, J.3
  • 13
    • 33645675305 scopus 로고    scopus 로고
    • Adaptive synchronization of neural networks with or without time-varying delay
    • Cao J., and Lu J. Adaptive synchronization of neural networks with or without time-varying delay. Chaos 16 (2006) 013133
    • (2006) Chaos , vol.16 , pp. 013133
    • Cao, J.1    Lu, J.2
  • 14
    • 31744437821 scopus 로고    scopus 로고
    • Exponential synchronization of a class of neural networks with time-varying delays
    • Cheng C., Liao T., Yan J., and Hwang C. Exponential synchronization of a class of neural networks with time-varying delays. IEEE Trans. Syst. Man Cyber. 36 (2006) 209-215
    • (2006) IEEE Trans. Syst. Man Cyber. , vol.36 , pp. 209-215
    • Cheng, C.1    Liao, T.2    Yan, J.3    Hwang, C.4
  • 15
    • 0040038398 scopus 로고    scopus 로고
    • Synchronizing high dimensional chaotic systems via eigenvalue placement with application to cellular neural networks
    • Grassi G., and Mascolo S. Synchronizing high dimensional chaotic systems via eigenvalue placement with application to cellular neural networks. Internat. J. Bifur. Chaos 9 (1999) 705-711
    • (1999) Internat. J. Bifur. Chaos , vol.9 , pp. 705-711
    • Grassi, G.1    Mascolo, S.2
  • 16
    • 33846035831 scopus 로고    scopus 로고
    • Generalized synchronization for delayed chaotic neural networks: A novel coupling scheme
    • Huang X., and Cao J. Generalized synchronization for delayed chaotic neural networks: A novel coupling scheme. Nonlinearity 19 (2006) 2797-2811
    • (2006) Nonlinearity , vol.19 , pp. 2797-2811
    • Huang, X.1    Cao, J.2
  • 17
    • 67249137010 scopus 로고    scopus 로고
    • ∞ synchronization of a class of delayed neural networks
    • 10.1016/j.chaos.2008.04.051
    • ∞ synchronization of a class of delayed neural networks. Chaos Solitons Fractals (2008) 10.1016/j.chaos.2008.04.051
    • (2008) Chaos Solitons Fractals
    • Karimi, H.R.1    Maass, P.2
  • 18
    • 33750465818 scopus 로고    scopus 로고
    • Robust impulsive synchronization of coupled delayed neural networks with uncertainties
    • Li P., Cao J., and Wang Z. Robust impulsive synchronization of coupled delayed neural networks with uncertainties. Physica A 373 (2007) 261-272
    • (2007) Physica A , vol.373 , pp. 261-272
    • Li, P.1    Cao, J.2    Wang, Z.3
  • 19
    • 33748320984 scopus 로고    scopus 로고
    • Global synchronization and asymptotic stability of complex dynamical networks
    • Li Z., and Chen G. Global synchronization and asymptotic stability of complex dynamical networks. IEEE Trans. Circuits Syst. II: Express Briefs 53 (2006) 28-33
    • (2006) IEEE Trans. Circuits Syst. II: Express Briefs , vol.53 , pp. 28-33
    • Li, Z.1    Chen, G.2
  • 20
    • 34047264984 scopus 로고    scopus 로고
    • Adaptive synchronization in tree-like dynamical networks
    • Lu J., and Cao J. Adaptive synchronization in tree-like dynamical networks. Nonlinear Anal. RWA 8 (2007) 1252-1260
    • (2007) Nonlinear Anal. RWA , vol.8 , pp. 1252-1260
    • Lu, J.1    Cao, J.2
  • 21
    • 15344349989 scopus 로고    scopus 로고
    • Nonlinear dynamics extraction for time-delay systems using modular neural networks synchronization and prediction
    • Ortin S., Gutierrez J.M., Pesquera L., and Vasquez H. Nonlinear dynamics extraction for time-delay systems using modular neural networks synchronization and prediction. Physica A 351 (2005) 133-141
    • (2005) Physica A , vol.351 , pp. 133-141
    • Ortin, S.1    Gutierrez, J.M.2    Pesquera, L.3    Vasquez, H.4
  • 22
    • 0038045070 scopus 로고    scopus 로고
    • Chaos control and synchronization, with input saturation, via recurrent neural networks
    • Sanchez E.N., and Ricalde L.J. Chaos control and synchronization, with input saturation, via recurrent neural networks. Neural Netw. 16 (2003) 711-717
    • (2003) Neural Netw. , vol.16 , pp. 711-717
    • Sanchez, E.N.1    Ricalde, L.J.2
  • 23
    • 34249680381 scopus 로고    scopus 로고
    • Exponential synchronization of stochastic perturbed chaotic delayed neural networks
    • Sun Y., Cao J., and Wang Z. Exponential synchronization of stochastic perturbed chaotic delayed neural networks. Neurocomputing 70 (2007) 2477-2485
    • (2007) Neurocomputing , vol.70 , pp. 2477-2485
    • Sun, Y.1    Cao, J.2    Wang, Z.3
  • 24
    • 36448966822 scopus 로고    scopus 로고
    • Adaptive synchronization of neural networks with time-varying delay and distributed delay
    • Wang K., Teng Z., and Jiang H. Adaptive synchronization of neural networks with time-varying delay and distributed delay. Physica A 387 (2008) 631-642
    • (2008) Physica A , vol.387 , pp. 631-642
    • Wang, K.1    Teng, Z.2    Jiang, H.3
  • 25
    • 0033166162 scopus 로고    scopus 로고
    • Synchronization and stable phase-locking in a network of neurons with memory
    • Wu J., Faria T., and Huang Y. Synchronization and stable phase-locking in a network of neurons with memory. Math. Comput. Modelling 30 (1999) 117-138
    • (1999) Math. Comput. Modelling , vol.30 , pp. 117-138
    • Wu, J.1    Faria, T.2    Huang, Y.3
  • 26
    • 65349129381 scopus 로고    scopus 로고
    • Synchronization of complex delayed dynamical networks with nonlinearly coupled nodes
    • Liu T., Zhao J., and Hill D.J. Synchronization of complex delayed dynamical networks with nonlinearly coupled nodes. Chaos Solitons Fractals 40 (2009) 1506-1519
    • (2009) Chaos Solitons Fractals , vol.40 , pp. 1506-1519
    • Liu, T.1    Zhao, J.2    Hill, D.J.3
  • 27
    • 43049179992 scopus 로고    scopus 로고
    • Synchronization analysis for nonlinearly-coupled complex networks with an asymmetrical coupling matrix
    • Liu X., and Chen T. Synchronization analysis for nonlinearly-coupled complex networks with an asymmetrical coupling matrix. Physica A 387 (2008) 4429-4439
    • (2008) Physica A , vol.387 , pp. 4429-4439
    • Liu, X.1    Chen, T.2
  • 28
    • 50349096774 scopus 로고    scopus 로고
    • A delay fractioning approach to global synchronization of delayed complex networks with stochastic disturbances
    • Wang Y., Wang Z., and Liang J. A delay fractioning approach to global synchronization of delayed complex networks with stochastic disturbances. Phys. Lett. A 372 (2008) 6066-6073
    • (2008) Phys. Lett. A , vol.372 , pp. 6066-6073
    • Wang, Y.1    Wang, Z.2    Liang, J.3
  • 29
    • 34547668739 scopus 로고    scopus 로고
    • Synchronization in complex networks with adaptive coupling
    • Zhang R., Hu M., and Xu Z. Synchronization in complex networks with adaptive coupling. Phys. Lett. A 368 (2007) 276-280
    • (2007) Phys. Lett. A , vol.368 , pp. 276-280
    • Zhang, R.1    Hu, M.2    Xu, Z.3
  • 30
    • 34548051108 scopus 로고    scopus 로고
    • Synchronization in complex delayed dynamical networks with impulsive effects
    • Zhou J., Xiang L., and Liu Z. Synchronization in complex delayed dynamical networks with impulsive effects. Physica A 384 (2007) 684-692
    • (2007) Physica A , vol.384 , pp. 684-692
    • Zhou, J.1    Xiang, L.2    Liu, Z.3
  • 31
    • 39849111203 scopus 로고    scopus 로고
    • Analysis on global exponential robust stability of reaction-diffusion neural networks with S-type distributed delays
    • Liu P., Yi F., Guo Q., Yang J., and Wu W. Analysis on global exponential robust stability of reaction-diffusion neural networks with S-type distributed delays. Physica D 237 (2008) 475-485
    • (2008) Physica D , vol.237 , pp. 475-485
    • Liu, P.1    Yi, F.2    Guo, Q.3    Yang, J.4    Wu, W.5
  • 32
    • 38349128566 scopus 로고    scopus 로고
    • On global exponential stability and existence of periodic solutions for BAM neural networks with distributed delays and reaction-diffusion terms
    • Lou X., Cui B., and Wu W. On global exponential stability and existence of periodic solutions for BAM neural networks with distributed delays and reaction-diffusion terms. Chaos Solitons Fractals 36 (2008) 1044-1054
    • (2008) Chaos Solitons Fractals , vol.36 , pp. 1044-1054
    • Lou, X.1    Cui, B.2    Wu, W.3
  • 33
    • 34548525395 scopus 로고    scopus 로고
    • Global exponential stability and periodicity of reaction-diffusion delayed recurrent neural networks with Dirichlet boundary conditions
    • Lu J. Global exponential stability and periodicity of reaction-diffusion delayed recurrent neural networks with Dirichlet boundary conditions. Chaos, Solitions Fractals 35 (2008) 116-125
    • (2008) Chaos, Solitions Fractals , vol.35 , pp. 116-125
    • Lu, J.1
  • 34
    • 4243149477 scopus 로고    scopus 로고
    • Global exponential stability and existence of periodic solutions in BAM networks with delays and reaction-diffusion terms
    • Song Q., and Cao J. Global exponential stability and existence of periodic solutions in BAM networks with delays and reaction-diffusion terms. Chaos Solitons Fractals 23 (2005) 421-430
    • (2005) Chaos Solitons Fractals , vol.23 , pp. 421-430
    • Song, Q.1    Cao, J.2
  • 35
    • 33845567753 scopus 로고    scopus 로고
    • Global exponential robust stability of Cohen-Grossberg neural network with time-varying delays and reaction-diffusion terms
    • Song Q., and Cao J. Global exponential robust stability of Cohen-Grossberg neural network with time-varying delays and reaction-diffusion terms. J. Franklin Inst. 343 (2006) 705-719
    • (2006) J. Franklin Inst. , vol.343 , pp. 705-719
    • Song, Q.1    Cao, J.2
  • 36
    • 12544251852 scopus 로고    scopus 로고
    • Global exponential stability of BAM neural networks with distributed delays and reaction-diffusion terms
    • Song Q., Zhao Z., and Li Y. Global exponential stability of BAM neural networks with distributed delays and reaction-diffusion terms. Phys. Lett. A 335 (2005) 213-225
    • (2005) Phys. Lett. A , vol.335 , pp. 213-225
    • Song, Q.1    Zhao, Z.2    Li, Y.3
  • 37
    • 31144468063 scopus 로고    scopus 로고
    • Global exponential robust stability of reaction-diffusion interval neural networks with time-varying delays
    • Wang L., and Gao Y. Global exponential robust stability of reaction-diffusion interval neural networks with time-varying delays. Phys. Lett. A 350 (2006) 342-348
    • (2006) Phys. Lett. A , vol.350 , pp. 342-348
    • Wang, L.1    Gao, Y.2
  • 38
    • 64949086912 scopus 로고    scopus 로고
    • Adaptive exponential synchronization of delayed neural networks with reaction-diffusion terms
    • Li S., Yang H., and Lou X. Adaptive exponential synchronization of delayed neural networks with reaction-diffusion terms. Chaos Solitons Fractals 40 (2009) 930-939
    • (2009) Chaos Solitons Fractals , vol.40 , pp. 930-939
    • Li, S.1    Yang, H.2    Lou, X.3
  • 39
    • 33846866254 scopus 로고    scopus 로고
    • Asymptotic synchronization of a class of neural networks with reaction-diffusion terms and time-varying delayes
    • Lou X., and Cui B. Asymptotic synchronization of a class of neural networks with reaction-diffusion terms and time-varying delayes. Comput. Math. Appl. 52 (2006) 897-904
    • (2006) Comput. Math. Appl. , vol.52 , pp. 897-904
    • Lou, X.1    Cui, B.2
  • 40
    • 34548487292 scopus 로고    scopus 로고
    • Synchronization of a class of delayed neural networks with reaction-diffusion terms
    • Wang Y., and Cao J. Synchronization of a class of delayed neural networks with reaction-diffusion terms. Phys. Lett. A 369 (2007) 201-211
    • (2007) Phys. Lett. A , vol.369 , pp. 201-211
    • Wang, Y.1    Cao, J.2


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