Keywords: complex dynamic networks; synchronization; time delay; noise perturbation
@article{10_14736_kyb_2016_4_0607,
author = {Ma, Zhi-cai and Sun, Yong-zheng and Shi, Hong-jun},
title = {Finite-time outer synchronization between two complex dynamical networks with time delay and noise perturbation},
journal = {Kybernetika},
pages = {607--628},
year = {2016},
volume = {52},
number = {4},
doi = {10.14736/kyb-2016-4-0607},
mrnumber = {3565772},
zbl = {06644313},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2016-4-0607/}
}
TY - JOUR AU - Ma, Zhi-cai AU - Sun, Yong-zheng AU - Shi, Hong-jun TI - Finite-time outer synchronization between two complex dynamical networks with time delay and noise perturbation JO - Kybernetika PY - 2016 SP - 607 EP - 628 VL - 52 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2016-4-0607/ DO - 10.14736/kyb-2016-4-0607 LA - en ID - 10_14736_kyb_2016_4_0607 ER -
%0 Journal Article %A Ma, Zhi-cai %A Sun, Yong-zheng %A Shi, Hong-jun %T Finite-time outer synchronization between two complex dynamical networks with time delay and noise perturbation %J Kybernetika %D 2016 %P 607-628 %V 52 %N 4 %U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2016-4-0607/ %R 10.14736/kyb-2016-4-0607 %G en %F 10_14736_kyb_2016_4_0607
Ma, Zhi-cai; Sun, Yong-zheng; Shi, Hong-jun. Finite-time outer synchronization between two complex dynamical networks with time delay and noise perturbation. Kybernetika, Tome 52 (2016) no. 4, pp. 607-628. doi: 10.14736/kyb-2016-4-0607
[1] Arenas, A., Kurths, J., Moreno, Y., Zhou, C. S.: Synchronization in complex networks. Phys. Rep. 469 (2008), 93-153. | DOI | MR
[2] Asheghan, M. M., Míguez, J., Hamidi-Beheshti, M. T., Tavazoe, M. S.: Robust outer synchronization between two complex networks with fractional order dynamics. Chaos 21 (2011), 033121. | DOI | MR
[3] Barabasi, A. L.: Scal-free networks: a decade and beyond. Science 325 (2009), 412-413. | DOI | MR
[4] Barabasi, A. L., Albert, R.: Emergence of scaling in random networks. Science 286 (1999), 509-512. | DOI | MR | Zbl
[5] Blat, S. P., Bernstein, D. S.: Finite-time stability of continuous autonomous systems. SIAM. J. Control Optim. 38 (2000), 751-766. | DOI | MR
[6] 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. Simulat. 15 (2010), 1631-1639. | DOI | MR | Zbl
[7] Hardy, G., Littlewood, J., Polya, G.: Inequalities. Cambridge University Press 1988. | MR | Zbl
[8] Hauschildt, B., Jason, N. B., Balanov, A., Scholl, E.: Noise-induced cooperative dynamics and its control in coupled neuron models. Phys. Rev. E 74 (2006), 051906. | DOI | MR
[9] Huang, J. J., Li, C. D., Huang, T. W., He, X.: Finite-time lag synchronization of delayed neural networks. Neurocomputing 139 (2013), 145-149. | DOI
[10] Huang, X. Q., Lin, W., Yang, B.: Global finite-time synchronization of a class of uncertain nonlinear systems. Automatica 41 (2005), 881-888. | DOI | MR
[11] Kazanovich, Y. B., Borisyuk, R. M.: Synchronization in a neural network of phase oscillators with the central element. Biological Cybernetics 71 (1994), 177-185. | DOI | MR | Zbl
[12] Kloeden, P. E., Platen, E.: Numerical Solution of Stochastic Differential Equations. Springer, Heidelberg 1992. | DOI | MR | Zbl
[13] Korniss, G.: Synchronization in weighted unccorrelated complex networks in a noisy environment: optimization and connections with transport efficiency. Phys. Rev. E 75 (2007), 051121. | DOI
[14] Li, H. Y., Hu, Y. A., Wang, R. Q.: Adaptive finite-time synchronization of cross-strict feedback hyperchaotic systems with parameter uncertainties. Kybernetika 49 (2013), 554-567. | MR
[15] Li, L., Kurths, J., Peng, H., Yang, Y., Luo, Q.: Exponentially asymptotic synchronization of uncertain complex time-delay dynamical networks. The European Physical Journal B 86 (2013), 1-9. | DOI | MR
[16] Lin, W., Chen, G. R.: Using white noise to enhance synchronization of coupled chaotic systems. Chaos 16 (2006), 013134. | DOI | MR | Zbl
[17] Lü, J. H., Yu, X. H., Chen, G. R.: Chaos synchronization of general complex dynamical networks. Physica A 334 (2004), 281-302. | DOI | MR
[18] Lynnyk, V., Čelikovský, S.: On the anti-synchronization detection for the generalized Lorenz system and its applications to secure encryption. Kybernetika 46 (2010), 1-18. | MR | Zbl
[19] Mei, J., Jiang, M. H., Xu, W. M., Wang, B.: Finite-time synchronization control of complex dynamical networks with time delay. Commun. Nonlinear Sci. Numer. Simulat. 18 (2013), 2462-2478. | DOI | MR | Zbl
[20] Nagail, K. H., Kori, H.: Noise-induced synchronization of a large population of globally coupled nonidentical oscillators. Phys. Rev.E 81 (2010), 065202. | DOI
[21] Pecora, L. M., Carrol, T. L.: Master stability functions for synchronized coupled system. Phys. Rev. Lett. 80 (1998), 2109-2112. | DOI
[22] Sun, W. G., Li, S. X.: Generalized outer synchronization between two uncertain dynamical networks. Nonlinear Dyn. 77 (2014), 481-489. | DOI | MR | Zbl
[23] Sun, Y. Z., Li, W., Ruan, J.: Generalized outer synchronization between complex dynamic networks with time delay and noise perturbation. Commun. Nonliear Sci. Numer. Simul. 18 (2013), 989-998. | DOI | MR
[24] Sun, F., Peng, H., Luo, Q., Li, L., Yang, Y.: Parameter identification and projective synchronization between different chaotic systems. Chaos 19 (2009), 023109. | DOI | MR | Zbl
[25] Sun, Y. Z., Ruan, J.: Synchronization in coupled time-delayed systems with parameter mismath and noise perturbation. Chaos 19 (2009), 043113. | DOI
[26] Sun, Y. Z., Shi, H. J., Bakare, E. A., Meng, Q. X.: Noise-induced outer synchronization between two different complex dynamical networks. Nonlinear Dyn. 76 (2014), 519-528. | DOI | MR | Zbl
[27] Tang, H. W., Chen, L., Lu, J. A., Tse, C. K.: Adaptive synchronization between two nonidentical topological structures. Physica A 387 (2008), 5623-5630. | DOI
[28] Wang, G. J., Cao, J. D., Lu, J. Q.: Outer synchronization between two nonidentical networks with circumstance noise. Physica A 389 (2010), 1480-1488. | DOI
[29] Wang, X. F., Chen, G. R.: Synchronization in scal-free dynamical networks: robustness and fragility. IEEE Trans. Circuits Syst. I 49 (2002), 54-62. | DOI | MR
[30] Wang, H., Han, Z. Z., Xie, Q. Y., Zhang, W.: Finite-time synchronization of uncertain unified chaotic systems based on CLF. Nonlinear Anal.: Real World Appl. 10 (2009), 2842-2849. | DOI | MR | Zbl
[31] Wang, H., Han, Z. Z., Xie, Q. Y., Zhang, W.: Finite-time chaos control via nonsingular terminal sliding model control. Commun. Nonlinear Sci. Numer. Simulat. 14 (2012), 2728-2733. | DOI | MR
[32] Wang, W., Li, L., Peng, H., Xiao, J., Yang, Y.: Synchronization control of memristor-based recurrent neural networks with perturbations. Neural Networks. 53 (2014), 8-14. | DOI | Zbl
[33] Wang, W. P., Peng, H. P., Li, L. X., Xiao, J. H., Yang, Y. X.: Finite-time function projective synchronization in complex multi-links networks with time-varying delay. Neural Process. Lett. 41 (2015), 71-88. | DOI
[34] Watts, D. J., Strogatz, S. H.: Collective dynamics of small-world networks. Nature 393 (1998), 440-442. | DOI
[35] Yang, X. S., Cao, J. D.: Finite-time stochastic synchronization of complex networks. App. Math. Modeling. 34 (2010), 3631-3641. | DOI | MR | Zbl
[36] Yu, W. W., Chen, G. R., Lü, J. H.: On pinning synchronization of complex dynamical networks. | Zbl
[37] Zhou, X. B., Jiang, M. R., Huang, Y. Q.: Switched modified function projective synchronization between two complex nonlinear hyperchaotic systems based on adaptive control and parameter identification. Kybernetika 50 (2014), 632-642. | DOI | MR | Zbl
[38] Zhou, C. S., Motter, A. E., Kurths, J.: Universality in the synchronization of weighted random networks. Phys. Rev. Lett. 96 (2006), 034101. | DOI
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