메뉴 건너뛰기




Volumn 40, Issue 9, 2009, Pages 909-921

Synchronisation in complex networks of coupled systems with directed topologies

Author keywords

Asymmetric coupling; Continuous time systems; Indirect graph; Multi agent systems; Networked control; Stability; Synchronisation

Indexed keywords

ALGEBRAIC CONNECTIVITY; ASYMMETRIC COUPLING; COMPLEX NETWORKS; COUPLED MAPS; COUPLED SYSTEMS; COUPLING DELAYS; DIRECTED GRAPHS; DIRECTED TOPOLOGY; DISCRETE-TIME NETWORKS; GLOBAL DYNAMICS; INDIRECT GRAPH; INTERACTION STRUCTURES; NETWORKED CONTROL; PINNING CONTROL; RAYLEIGH; STRUCTURE MATRIX; SYNCHRONISATION; SYNCHRONOUS MOTION; SYSTEMATIC REVIEW; TIME VARYING; TRANSVERSE DIRECTIONS; TRANSVERSE STABILITY; UNDERLYING GRAPHS;

EID: 70349440904     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207720802645238     Document Type: Article
Times cited : (19)

References (45)
  • 1
    • 0036013593 scopus 로고    scopus 로고
    • Statistical mechanics of complex networks
    • Albert, R., and Barabasi, A.L. (2002), 'Statistical Mechanics of Complex Networks', Reviws of Modern Physics, 74, 47-97.
    • (2002) Reviws of Modern Physics , vol.74 , pp. 47-97
    • Albert, R.1    Barabasi, A.L.2
  • 2
    • 6144229366 scopus 로고    scopus 로고
    • From attractor to chaotic saddle: A tale of transverse instability
    • Ashwin, P., Buescu, J., and Stewart, I. (1996), 'From Attractor to Chaotic Saddle: A Tale of Transverse Instability', Nonlinearity, 9, 703-737.
    • (1996) Nonlinearity , vol.9 , pp. 703-737
    • Ashwin, P.1    Buescu, J.2    Stewart, I.3
  • 3
    • 2542431567 scopus 로고    scopus 로고
    • Delays, connection topology, and synchronization of coupled chaotic maps
    • Atay, F.M., Jost, J., and Wende, A. (2004), 'Delays, Connection Topology, and Synchronization of Coupled Chaotic Maps', Physical Review Letter, 92, 144101.
    • (2004) Physical Review Letter , vol.92 , pp. 144101
    • Atay, F.M.1    Jost, J.2    Wende, A.3
  • 4
    • 0038483826 scopus 로고    scopus 로고
    • Emergence of scaling in random networks
    • Barabasi, A.L., and Albert, R. (1999), 'Emergence of Scaling in Random Networks', Science, 286, 509-512.
    • (1999) Science , vol.286 , pp. 509-512
    • Barabasi, A.L.1    Albert, R.2
  • 5
    • 3042776965 scopus 로고    scopus 로고
    • Blinking model and synchronization in small-world networks with a time-varying coupling
    • Belykh, I.V., Belykh, V.N., and Hasler, M. (2004), 'Blinking Model and Synchronization in Small-world Networks with a Time-varying Coupling', Physica D, 195, 188-206.
    • (2004) Physica D , vol.195 , pp. 188-206
    • Belykh, I.V.1    Belykh, V.N.2    Hasler, M.3
  • 9
    • 1442281384 scopus 로고    scopus 로고
    • Synchronization of hyperchaotic systems with delayed bidirectional coupling
    • Buric, N., and Todorovic, D. (2003), 'Synchronization of Hyperchaotic Systems with Delayed Bidirectional Coupling', Physical Review E, 68, 066218.
    • (2003) Physical Review e , vol.68 , pp. 066218
    • Buric, N.1    Todorovic, D.2
  • 10
    • 34250825295 scopus 로고    scopus 로고
    • Pinning complex networks by a single controller
    • Chen, T., Liu, X., and Lu, W. (2007), 'Pinning Complex Networks by a Single Controller', IEEE Transactions on Circuit Systems-I, 54(6), 1317-1326.
    • (2007) IEEE Transactions on Circuit Systems-I , vol.54 , Issue.6 , pp. 1317-1326
    • Chen, T.1    Liu, X.2    Lu, W.3
  • 11
    • 1542400571 scopus 로고    scopus 로고
    • Enhancement of neural synchrony by time delay
    • Dhamala, M., Jirsa, V.K., and Ding, M. (2004), 'Enhancement of Neural Synchrony by Time Delay', Physical Review Letters, 92(7), 074104.
    • (2004) Physical Review Letters , vol.92 , Issue.7 , pp. 074104
    • Dhamala, M.1    Jirsa, V.K.2    Ding, M.3
  • 15
    • 37649032132 scopus 로고    scopus 로고
    • Spectral properties and synchronization in coupled map lattices
    • Jost, J., and Joy, M.P. (2001), 'Spectral Properties and Synchronization in Coupled Map Lattices', Physical Review E, 65, 016201.
    • (2001) Physical Review e , vol.65 , pp. 016201
    • Jost, J.1    Joy, M.P.2
  • 16
    • 7444271638 scopus 로고    scopus 로고
    • Pinning a complex dynamical network to its equilibrium
    • Li, X., Wang, X.F., and Chen, G. (2004), 'Pinning a Complex Dynamical Network to its Equilibrium', IEEE Transactions on Circuit Systems-I, 51(10), 2074-2087.
    • (2004) IEEE Transactions on Circuit Systems-I , vol.51 , Issue.10 , pp. 2074-2087
    • Li, X.1    Wang, X.F.2    Chen, G.3
  • 17
    • 34249682074 scopus 로고    scopus 로고
    • Exponential synchronization of nonlinear coupled dynamical networks with a delayed coupling
    • Liu, X., and Chen, T. (2007), 'Exponential Synchronization of Nonlinear Coupled Dynamical Networks with a Delayed Coupling', Physica A, 381, 82-92.
    • (2007) Physica A , vol.381 , pp. 82-92
    • Liu, X.1    Chen, T.2
  • 18
    • 48249130441 scopus 로고    scopus 로고
    • Synchronization of discrete-time dynamical networks with time-varying couplings
    • Lu, W., Atay, F.M., and Jost, J. (2007), 'Synchronization of Discrete-time Dynamical Networks with Time-varying Couplings', SIAM Journal on Mathematical Analysis, 39(4), 1231-1259.
    • (2007) SIAM Journal on Mathematical Analysis , vol.39 , Issue.4 , pp. 1231-1259
    • Lu, W.1    Atay, F.M.2    Jost, J.3
  • 19
    • 6444234243 scopus 로고    scopus 로고
    • Synchronization analysis of linearly coupled networks of discrete time systems
    • Lu, W., and Chen, T. (2004), 'Synchronization Analysis of Linearly Coupled Networks of Discrete Time Systems', Physica D, 198, 148-168.
    • (2004) Physica D , vol.198 , pp. 148-168
    • Lu, W.1    Chen, T.2
  • 20
    • 30144443190 scopus 로고    scopus 로고
    • New approach to synchronization analysis of linearly coupled ordinary differential systems
    • DOI 10.1016/j.physd.2005.11.009, PII S0167278905004872
    • Lu, W., and Chen, T. (2006a), 'New Approach to Synchronization Analysis of Linearly Coupled Ordinary Differential Systems', Physica D, 213, 214-230. (Pubitemid 43052367)
    • (2006) Physica D: Nonlinear Phenomena , vol.213 , Issue.2 , pp. 214-230
    • Lu, W.1    Chen, T.2
  • 21
    • 33748311893 scopus 로고    scopus 로고
    • Synchronization analysis of linearly coupled systems described by differential equations with a coupling delay
    • DOI 10.1016/j.physd.2006.07.020, PII S0167278906002636
    • Lu, W., Chen, T., and Chen, G. (2006b), 'Synchronization Analysis of Linearly Coupled Systems Described by Differential Equations with a Coupling Delay', Physica D, 221, 118-134. (Pubitemid 44332585)
    • (2006) Physica D: Nonlinear Phenomena , vol.221 , Issue.2 , pp. 118-134
    • Lu, W.1    Chen, T.2    Chen, G.3
  • 22
    • 33947580864 scopus 로고    scopus 로고
    • Global synchronization of discrete-time dynamical network with a directed graph
    • Lu, W., and Chen, T. (2007), 'Global Synchronization of Discrete-time Dynamical Network with a Directed Graph', IEEE Transactions on Circuit Systems-II, 54(2), 136-140.
    • (2007) IEEE Transactions on Circuit Systems-II , vol.54 , Issue.2 , pp. 136-140
    • Lu, W.1    Chen, T.2
  • 23
    • 70349438012 scopus 로고    scopus 로고
    • Global stabilization of complex networks with digraph topologies via a local pinning algorithm
    • in press
    • Lu, W., Li, X., and Rong, Z. (2009), 'Global Stabilization of Complex Networks with Digraph Topologies via a Local Pinning Algorithm', Automatica, in press.
    • (2009) Automatica
    • Lu, W.1    Li, X.2    Rong, Z.3
  • 24
    • 0025567093 scopus 로고
    • Synchronization properties of pulse-coupled biological oscillators
    • Mirollo, R.E., and Strogatz, S.H. (1990), 'Synchronization Properties of Pulse-coupled Biological Oscillators', SIAM, Journal of Applied Mathematics, 50, 1645-1662.
    • (1990) SIAM, Journal of Applied Mathematics , vol.50 , pp. 1645-1662
    • Mirollo, R.E.1    Strogatz, S.H.2
  • 25
    • 37649031501 scopus 로고    scopus 로고
    • Network synchronization, diffusion, and the paradox of heterogeneity
    • Motter, A.E., Zhou, C., and Kurths, J. (2005), 'Network Synchronization, Diffusion, and the Paradox of Heterogeneity', Physical Review E, 71, 016116.
    • (2005) Physical Review e , vol.71 , pp. 016116
    • Motter, A.E.1    Zhou, C.2    Kurths, J.3
  • 26
    • 0001585951 scopus 로고
    • Clustering behavior of time-delayed nearest-neighbour coupled oscillators
    • Nakamura, Y., Tominaga, F., and Munakata, T. (1994), 'Clustering Behavior of Time-delayed Nearest-neighbour Coupled Oscillators', Physical Review E, 49, 4849-4856.
    • (1994) Physical Review e , vol.49 , pp. 4849-4856
    • Nakamura, Y.1    Tominaga, F.2    Munakata, T.3
  • 27
    • 64149119332 scopus 로고    scopus 로고
    • Consensus and cooperation in networked multi-agent systems
    • Olfati-Saber, R., Fax, J.A., and Murray, R.M. (2007), 'Consensus and Cooperation in Networked Multi-agent Systems', Proceedings of the IEEE, 95(1), 215-233.
    • (2007) Proceedings of the IEEE , vol.95 , Issue.1 , pp. 215-233
    • Olfati-Saber, R.1    Fax, J.A.2    Murray, R.M.3
  • 28
    • 4243241129 scopus 로고    scopus 로고
    • Master stability functions for synchronized coupled systems
    • Pecora, L.M., and Carroll, T.L. (1998), 'Master Stability Functions for Synchronized Coupled Systems', Phyisical Review Letters, 80(10), 2109-2112.
    • (1998) Phyisical Review Letters , vol.80 , Issue.10 , pp. 2109-2112
    • Pecora, L.M.1    Carroll, T.L.2
  • 31
    • 0035249270 scopus 로고    scopus 로고
    • Cooperative oscillatory behavior of mutually coupled dynamical systems
    • Pogromsky, A., and Nijmeijer, H. (2001), 'Cooperative Oscillatory Behavior of Mutually Coupled Dynamical Systems', IEEE Transactions on Circuits System-I, 48(2), 152-162.
    • (2001) IEEE Transactions on Circuits System-I , vol.48 , Issue.2 , pp. 152-162
    • Pogromsky, A.1    Nijmeijer, H.2
  • 32
    • 41349121803 scopus 로고    scopus 로고
    • Delayed feedback control of collective synchrony, an approach to suppression of pathological brain rhythms
    • Rosenblum, M., and Pikovsky, A. (2004), 'Delayed Feedback Control of Collective Synchrony, an Approach to Suppression of Pathological Brain Rhythms', Physical Review E., 70, 041904.
    • (2004) Physical Review E. , vol.70 , pp. 041904
    • Rosenblum, M.1    Pikovsky, A.2
  • 33
    • 34848824665 scopus 로고    scopus 로고
    • Effects of the network structural properties on its controllability
    • Sorrentino, F. (2007), 'Effects of the Network Structural Properties on its Controllability', Chaos, 17(3), 033101.
    • (2007) Chaos , vol.17 , Issue.3 , pp. 033101
    • Sorrentino, F.1
  • 35
    • 33644881136 scopus 로고    scopus 로고
    • Sufficient conditions for fast switching synchronization in time-varying network topologies
    • Stilwell, D.J., Bollt, E.M., and Roberson, D.G. (2006), 'Sufficient Conditions for Fast Switching Synchronization in Time-varying Network Topologies', SIAM Journal of Applied Dynamical Systems, 5, 140-156.
    • (2006) SIAM Journal of Applied Dynamical Systems , vol.5 , pp. 140-156
    • Stilwell, D.J.1    Bollt, E.M.2    Roberson, D.G.3
  • 36
    • 0036125429 scopus 로고    scopus 로고
    • Synchronization in scale-free dynamical networks: Robustness and fragility
    • Wang, X.F., and Chen, G. (2002a), 'Synchronization in Scale-free Dynamical Networks: Robustness and Fragility', IEEE Transactions on Circuit Systems-I, 49(1), 54-62.
    • (2002) IEEE Transactions on Circuit Systems-I , vol.49 , Issue.1 , pp. 54-62
    • Wang, X.F.1    Chen, G.2
  • 38
    • 0032482432 scopus 로고    scopus 로고
    • Collective dynamics of 'small-world' networks
    • Watts, D.J., and Strogatz, S.H. (1998), 'Collective Dynamics of 'Small-world' Networks', Nature, 393, 440-442.
    • (1998) Nature , vol.393 , pp. 440-442
    • Watts, D.J.1    Strogatz, S.H.2
  • 39
    • 40549135702 scopus 로고    scopus 로고
    • Global synchronization criteria of linearly coupled neural network systems with time-varying coupling
    • Wu, W., and Chen, T. (2008), 'Global Synchronization Criteria of Linearly Coupled Neural Network Systems with Time-varying Coupling', IEEE Transactions on Neural Networks, 19(2), 319-332.
    • (2008) IEEE Transactions on Neural Networks , vol.19 , Issue.2 , pp. 319-332
    • Wu, W.1    Chen, T.2
  • 40
    • 0037301537 scopus 로고    scopus 로고
    • Synchronization in coupled arrays of chaotic oscillators with nonreciprocal coupling
    • Wu, C.W. (2003), 'Synchronization in Coupled Arrays of Chaotic Oscillators with Nonreciprocal Coupling', IEEE Transactions on Circuits Systems-I, 50, 294-297.
    • (2003) IEEE Transactions on Circuits Systems-I , vol.50 , pp. 294-297
    • Wu, C.W.1
  • 41
    • 17744377743 scopus 로고    scopus 로고
    • On rayleigh-ritz ratios of a generalized laplacian matrix of directed graphs
    • Wu, C.W. (2005a), 'On Rayleigh-Ritz Ratios of a Generalized Laplacian Matrix of Directed Graphs', Linear Algebra and its Applications, 402(1), 207-227.
    • (2005) Linear Algebra and Its Applications , vol.402 , Issue.1 , pp. 207-227
    • Wu, C.W.1
  • 42
    • 22544454677 scopus 로고    scopus 로고
    • Synchronization in networks of nonlinear dynamical systems coupled via a directed graph
    • Wu, C.W. (2005b), 'Synchronization in Networks of Nonlinear Dynamical Systems Coupled via a Directed Graph', Nonlinearity, 18, 1057-1064.
    • (2005) Nonlinearity , vol.18 , pp. 1057-1064
    • Wu, C.W.1
  • 44
    • 0029358909 scopus 로고
    • Synchronization in an array of linearly coupled dynamical systems
    • Wu, C.W., and Chua, L.O. (1995), 'Synchronization in an Array of Linearly Coupled Dynamical Systems', IEEE Transactions on Circuit Systems-I, 42(8), 430-447.
    • (1995) IEEE Transactions on Circuit Systems-I , vol.42 , Issue.8 , pp. 430-447
    • Wu, C.W.1    Chua, L.O.2
  • 45
    • 33646383617 scopus 로고    scopus 로고
    • Dynamical weights and enhanced synchronization in adaptive complex networks
    • Zhou, C., and Kurths, J. (2006), 'Dynamical Weights and Enhanced Synchronization in Adaptive Complex Networks', Physical Review Letters, 96, 164102.
    • (2006) Physical Review Letters , vol.96 , pp. 164102
    • Zhou, C.1    Kurths, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.