Topology identification of the modified complex dynamical network with non-delayed and delayed coupling

Nonlinear Dynamics

Volumn 68, Issue 1-2, 2012, Pages 195-205

  Xu, Yuhua ^a,b,c   Zhou, Wuneng ^c   Fang, Jian'An ^c  

^a WUHAN UNIVERSITY   (China)

^b YUNYANG TEACHERS COLLEGE   (China)

^c DONGHUA UNIVERSITY   (China)

Author keywords

Complex network; Delayed coupling; Topology identification

Indexed keywords

COMPLEX DYNAMICAL NETWORKS; COMPLEX NETWORKS; TOPOLOGICAL STRUCTURE; TOPOLOGY IDENTIFICATION; UNCERTAIN INFORMATIONS;

ELECTRIC NETWORK TOPOLOGY; TIME DELAY;

TOPOLOGY;

EID: 84858705334     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-011-0217-x     Document Type: Article

References (29)

1. S. Strogatz 2001 Exploring complex networks Nature 410 268 276 10.1038/35065725 (Pubitemid 32216604)
2. X. Li G. Chen 2003 Synchronization and desynchronization of complex dynamical networks: an engineering viewpoint IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. 50 1381 1390 10.1109/TCSI.2003.809808
3. J. Zhou T. Chen L. Xiang 2006 Adaptive synchronization of coupled chaotic systems based on parameters identification and its applications Int. J. Bifurc. Chaos 16 2923 2933 2283552 1142.34387 10.1142/S0218127406016550 (Pubitemid 44924970)
4. J. Zhou L. Xiang Z. Liu 2007 Global synchronization in general complex delayed dynamical networks and its applications Physica A 385 729 742 2584888 10.1016/j.physa.2007.07.006 (Pubitemid 47429909)
5. J. Zhou L. Xiang Z. Liu 2007 Synchronization in complex delayed dynamical networks with impulsive effects Physica A 384 684 692 2584888 10.1016/j.physa.2007.05.060 (Pubitemid 47285626)
6. X. Wu 2008 Synchronization-based topology identification of weighted general complex dynamical networks with time-varying coupling delay Physica A 387 997 1008 10.1016/j.physa.2007.10.030 (Pubitemid 350198776)
7. Q. Zhang J. Lu J. Lü C. Tse 2008 Adaptive feedback synchronization of a general complex dynamical network with delayed nodes IEEE Trans. Circuits Syst. II, Express Briefs 55 183 187 10.1109/TCSII.2007.911813
8. Y. Tang J. Fang M. Xia X. Gu 2010 Synchronization of Takagi-Sugeno fuzzy stochastic discrete-time complex networks with mixed time-varying delays Appl. Math. Model. 34 843 855 2579599 1185.93145 10.1016/j.apm.2009.07.015
9. Y. Tang R. Qiu J. Fang Q. Miao M. Xia 2008 Adaptive lag synchronization in unknown stochastic chaotic neural networks with discrete and distributed time-varying delays Phys. Lett. A 372 4425 4433 2432547 1221.82078 10.1016/j.physleta.2008.04.032
10. J. Liang Z. Wang X. Liu 2008 Exponential synchronization of stochastic delayed discrete-time complex networks Nonlinear Dyn. 53 153 165 2411436 1172.92002 10.1007/s11071-007-9303-5
11. W. Yu 2007 A LMI-based approach to global asymptotic stability of neural networks with time varying delays Nonlinear Dyn. 48 165 174 1176.92008 10.1007/s11071-006-9080-6 (Pubitemid 46154559)
12. H. Peng N. Wei L. Li W. Xie Y. Yang 2010 Models and synchronization of time-delayed complex dynamical networks with multi-links based on adaptive control Phys. Lett. A 374 2335 2339 10.1016/j.physleta.2010.03.052
13. Lü, L., Meng, L.: Parameter identification and synchronization of spatiotemporal chaos in uncertain complex network. Nonlinear Dyn. (2011). doi: 10.1007/s11071-010-9927-8
14. J. Lu J. Cao 2008 Adaptive synchronization of uncertain dynamical networks with delayed coupling Nonlinear Dyn. 53 107 115 2411432 1182.92007 10.1007/s11071-007-9299-x
15. J. Zhou J. Lu 2007 Topology identification of weighted complex dynamical networks Physica A 386 481 491 2585514 10.1016/j.physa.2007.07.050 (Pubitemid 47539772)
16. W. Yu J. Cao 2006 Adaptive Q-S (lag, anticipated, and complete) time-varying synchronization and parameters identification of uncertain delayed neural networks Chaos 16 023119 2243812 10.1063/1.2204747 (Pubitemid 44000334)
17. Z. Wu K. Li X. Fu 2010 Parameter identification of dynamical networks with community structure and multiple coupling delays Commun. Nonlinear Sci. Numer. Simul. 15 3587 3592 2646188 1222.93058 10.1016/j.cnsns.2009.12.028
18. Y. Xu W. Zhou J. Fang H. Lu 2009 Structure identification and adaptive synchronization of uncertain general complex dynamical networks Phys. Lett. A 374 272 278 10.1016/j.physleta.2009.10.079
19. J. Zhou J. Lu J. Lü 2006 Adaptive synchronization of an uncertain complex dynamical network IEEE Trans. Autom. Control 51 652 656 10.1109/TAC.2006.872760
20. H. Liu J. Lu J. Lü 2009 Structure identification of uncertain general complex dynamical networks with time delay Automatica 45 1799 1807 1185.93031 10.1016/j.automatica.2009.03.022
21. W. Guo S. Chen W. Sun 2009 Topology identification of the complex networks with non-delayed and delayed coupling Phys. Lett. A 373 3724 3729 2513417 06012087 10.1016/j.physleta.2009.08.054
22. Boyd, S., Ghaoui, L., Feron, E., Balakrishnana, V.: Linear Matrix Inequalities in System and Control Theory. SIAM, Philadelphia (1994)
23. H. Peng L. Li Y. Yang F. Sun 2011 Conditions of parameter identification from time series Phys. Rev. E 83 036202 10.1103/PhysRevE.83.036202
24. Sun, F., Peng, H., Xiao, J., Yang, Y.: Identifying topology of synchronous networks by analyzing their transient processes. Nonlinear Dyn. (2011). doi: 10.1007/s11071-011-0081-8
25. E. Lorenz 1963 Deterministic non-periodic flow J. Atmos. Sci. 20 130 141 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2
26. G. Chen T. Ueta 1999 Yet another chaotic attractor Int. J. Bifurc. Chaos 9 1465 1466 1729683 0962.37013 10.1142/S0218127499001024 (Pubitemid 129292251)
27. J. Lü G. Chen 2002 A new chaotic attractor coined Int. J. Bifurc. Chaos 12 659 661 1063.34510 10.1142/S0218127402004620 (Pubitemid 34862041)
28. C. Liu T. Liu L. Liu K. Liu 2004 A new chaotic attractor Chaos Solitons Fractals 22 1031 1038 2078830 1060.37027 10.1016/j.chaos.2004.02.060
29. W. Lu T. Chen G. Chen 2006 Synchronization analysis of linearly coupled systems described by differential equations with a coupling delay Physica D 221 118 134 2265856 1111.34056 10.1016/j.physd.2006.07.020 (Pubitemid 44332585)