메뉴 건너뛰기




Volumn , Issue , 2007, Pages 1-155

Synchronization in complex networks of nonlinear dynamical systems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84967425418     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/6570     Document Type: Book
Times cited : (551)

References (150)
  • 1
    • 14644405640 scopus 로고    scopus 로고
    • On the spectra of nonsymmetric Laplacian matrices
    • Agaev, R. and Chebotarev, P. (2005). On the spectra of nonsymmetric Laplacian matrices, Linear Algebra and Its Applications, 399, pp. 157-168.
    • (2005) Linear Algebra and Its Applications , vol.399 , pp. 157-168
    • Agaev, R.1    Chebotarev, P.2
  • 2
    • 0035627527 scopus 로고    scopus 로고
    • A random graph model for power law graphs
    • Aiello, W., Chung, F. and Lu, L. (2001). A random graph model for power law graphs, Experimental Mathematics, 10, 1, pp. 53-66.
    • (2001) Experimental Mathematics , vol.10 , Issue.1 , pp. 53-66
    • Aiello, W.1    Chung, F.2    Lu, L.3
  • 8
    • 84967500665 scopus 로고    scopus 로고
    • On the invariant straight lines of polynomial differential systems
    • Artés, J. C., Grünbaum, B. and Llibre, J. (1997). On the invariant straight lines of polynomial differential systems, Differential Equations Dynam. Systems 5, 3-4, pp. 317-327.
    • (1997) Differential Equations Dynam. Systems , vol.5 , Issue.3-4 , pp. 317-327
    • Artés, J.C.1    Grünbaum, B.2    Llibre, J.3
  • 10
    • 0009470257 scopus 로고    scopus 로고
    • Master-slave synchronization and the Lorenz equations
    • Balmforth, N., Tresser, C., Worfolk, P. and Wu, C. W. (1997). Master-slave synchronization and the Lorenz equations, Chaos, 7, 3, pp. 392-394.
    • (1997) Chaos , vol.7 , Issue.3 , pp. 392-394
    • Balmforth, N.1    Tresser, C.2    Worfolk, P.3    Wu, C.W.4
  • 11
    • 0033551368 scopus 로고    scopus 로고
    • Size and form in efficient transportation networks
    • Banavar, J., Maritan, A. and Rinaldo, A. (1999). Size and form in efficient transportation networks, Nature, 399, pp. 130-132.
    • (1999) Nature , vol.399 , pp. 130-132
    • Banavar, J.1    Maritan, A.2    Rinaldo, A.3
  • 13
    • 0038483826 scopus 로고    scopus 로고
    • Emergence of scaling in random networks
    • Barabási, A.-L. and Albert, R. (1999). Emergence of scaling in random networks, Science, 286, 5439, pp. 509-512.
    • (1999) Science , vol.286 , Issue.5439 , pp. 509-512
    • Barabási, A.-L.1    Albert, R.2
  • 14
    • 0342521525 scopus 로고    scopus 로고
    • Scale-free characteristics of random networks: The topology of the world wide web
    • Barabási, A.-L., Albert, R. and Jeong, H. (2000). Scale-free characteristics of random networks: the topology of the world wide web, Physica A, 281, pp. 69-77.
    • (2000) Physica A , vol.281 , pp. 69-77
    • Barabási, A.-L.1    Albert, R.2    Jeong, H.3
  • 15
    • 3343010976 scopus 로고    scopus 로고
    • Synchronization in small-world systems
    • Barahona, M. and Pecora, L. M. (2002). Synchronization in small-world systems, Physical Review Letters 89, 5, p. 054101.
    • (2002) Physical Review Letters , vol.89 , Issue.5 , pp. 054101
    • Barahona, M.1    Pecora, L.M.2
  • 16
    • 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. (2004a). Blinking model and synchronization in small-world networks with a time-varying coupling, Physica D 195, pp. 188-206.
    • (2004) Physica D , vol.195 , pp. 188-206
    • Belykh, I.V.1    Belykh, V.N.2    Hasler, M.3
  • 17
    • 3042858242 scopus 로고    scopus 로고
    • Connection graph stability method for synchronized coupled chaotic systems
    • Belykh, V. N., Belykh, I. V. and Hasler, M. (2004b). Connection graph stability method for synchronized coupled chaotic systems, Physica D 195, pp. 159-187.
    • (2004) Physica D , vol.195 , pp. 159-187
    • Belykh, V.N.1    Belykh, I.V.2    Hasler, M.3
  • 19
    • 33749260660 scopus 로고
    • Spectra, euclidean representations and clusterings of hypergraphs
    • Bolla, M. (1993). Spectra, euclidean representations and clusterings of hypergraphs, Discrete Mathematics, 117, pp. 19-39.
    • (1993) Discrete Mathematics , vol.117 , pp. 19-39
    • Bolla, M.1
  • 20
    • 0001246517 scopus 로고
    • The isoperimetric number of random regular graphs
    • Bollobás, B. (1988). The isoperimetric number of random regular graphs, European Journal of Combinatorics, 9, pp. 241-244.
    • (1988) European Journal of Combinatorics , vol.9 , pp. 241-244
    • Bollobás, B.1
  • 21
    • 11944253901 scopus 로고    scopus 로고
    • 2nd ed. (Cambridge University Press)
    • Bollobás, B. (2001). Random Graphs, 2nd ed. (Cambridge University Press).
    • (2001) Random Graphs
    • Bollobás, B.1
  • 22
    • 0742275434 scopus 로고    scopus 로고
    • Mathematical results on scale-free random graphs
    • S. Bornholdt and H. G. Schuster (eds.), chap. 1 (Wiley-VCH)
    • Bollobás, B. and Riordan, O. M. (2004). Mathematical results on scale-free random graphs, in S. Bornholdt and H. G. Schuster (eds.), Handbook of Graphs and Networks, chap. 1 (Wiley-VCH), pp. 1-34.
    • (2004) Handbook of Graphs and Networks , pp. 1-34
    • Bollobás, B.1    Riordan, O.M.2
  • 24
    • 0033295981 scopus 로고    scopus 로고
    • CSDP: A C library for semidefinite programming
    • Borchers, B. (1999). CSDP: a C library for semidefinite programming, Optimization methods and Software 11(1), pp. 613-623, http://www.nmt.edu/~borchers/csdp.html.
    • (1999) Optimization methods and Software , vol.11 , Issue.1 , pp. 613-623
    • Borchers, B.1
  • 25
    • 34250513249 scopus 로고
    • Über ein paradoxon aus der verkehrsplanung
    • English translation in Transportation Science
    • Braess, D. (1968). Über ein paradoxon aus der verkehrsplanung, Unternehmensforschung 12, pp. 258-268, English translation in Transportation Science, vol. 39, pages 446-450, 2005.
    • (1968) Unternehmensforschung , vol.12-39
    • Braess, D.1
  • 26
    • 0000441576 scopus 로고
    • Convergence of infinite products of matrices and inner-outer iteration schemes
    • Bru, R., Elsner, L. and Neumann, M. (1994). Convergence of infinite products of matrices and inner-outer iteration schemes, Electronic Transactions on Numerical Analysis, 2, pp. 183-193.
    • (1994) Electronic Transactions on Numerical Analysis , vol.2 , pp. 183-193
    • Bru, R.1    Elsner, L.2    Neumann, M.3
  • 31
    • 0040890382 scopus 로고
    • Collective behaviors in coupled map lattices with local and nonlocal connections
    • Chaté, H. and Manneville, P. (1992). Collective behaviors in coupled map lattices with local and nonlocal connections, Chaos, 2, 3, pp. 307-313.
    • (1992) Chaos , vol.2 , Issue.3 , pp. 307-313
    • Chaté, H.1    Manneville, P.2
  • 32
    • 0001778912 scopus 로고
    • Towards consensus: Some convergence theorems on repeated averaging
    • Chatterjee, S. and Seneta, E. (1977). Towards consensus: some convergence theorems on repeated averaging, Journal of Applied Probability, 14, pp. 89-97.
    • (1977) Journal of Applied Probability , vol.14 , pp. 89-97
    • Chatterjee, S.1    Seneta, E.2
  • 33
    • 0016969249 scopus 로고
    • A qualitative analysis of the behavior of dynamic nonlinear networks: Stability of autonomous networks
    • Chua, L. O. and Green, D. N. (1976). A qualitative analysis of the behavior of dynamic nonlinear networks: Stability of autonomous networks, IEEE Transactions on Circuits and Systems, 23, 6, pp. 355-379.
    • (1976) IEEE Transactions on Circuits and Systems , vol.23 , Issue.6 , pp. 355-379
    • Chua, L.O.1    Green, D.N.2
  • 34
    • 0038763983 scopus 로고    scopus 로고
    • Connected components in a random graph with given degree sequences
    • Chung, F. and Lu, L. (2002). Connected components in a random graph with given degree sequences, Annals of combinatorics, 6, pp. 125-145.
    • (2002) Annals of combinatorics , vol.6 , pp. 125-145
    • Chung, F.1    Lu, L.2
  • 35
    • 0001186333 scopus 로고
    • An upper bound on the diameter of a graph from eigenvalues associated with its Laplacian
    • Chung, F. R. K., Faber, V. and Manteuffel, T. A. (1994). An upper bound on the diameter of a graph from eigenvalues associated with its Laplacian, SIAM Journal on Discrete Mathematics, 7, 3, pp. 443-457.
    • (1994) SIAM Journal on Discrete Mathematics , vol.7 , Issue.3 , pp. 443-457
    • Chung, F.R.K.1    Faber, V.2    Manteuffel, T.A.3
  • 38
  • 39
    • 0000432228 scopus 로고
    • Networks of scientific papers
    • de Solla Price, D. J. (1965). Networks of scientific papers, Science, 149, pp. 510-515.
    • (1965) Science , vol.149 , pp. 510-515
    • De Solla Price, D.J.1
  • 40
    • 0016996037 scopus 로고
    • A general theory of bibliometric and other cumulative advantage processes
    • de Solla Price, D. J. (1976). A general theory of bibliometric and other cumulative advantage processes, J. Amer. Soc. Inform. Sci., 27, pp. 292-306.
    • (1976) J. Amer. Soc. Inform. Sci , vol.27 , pp. 292-306
    • De Solla Price, D.J.1
  • 42
    • 17744383935 scopus 로고
    • Théorème d’algébre
    • Desplanques, J. (1887). Théorème d’algébre, J. de Math. Spec., 9, pp. 12-13.
    • (1887) J. de Math. Spec , vol.9 , pp. 12-13
    • Desplanques, J.1
  • 43
    • 0013092237 scopus 로고
    • On the characteristic numbers of stochastic matrices
    • Russian
    • Dmitriev, N. and Dynkin, E. (1945). On the characteristic numbers of stochastic matrices, Dokl. Akad. Nauk USSR 49, pp. 159-162, in Russian.
    • (1945) Dokl. Akad. Nauk USSR , vol.49 , pp. 159-162
    • Dmitriev, N.1    Dynkin, E.2
  • 44
    • 33751044869 scopus 로고    scopus 로고
    • Random geometric graph diameter in the unit ball
    • To appear
    • Ellis, R. B., Martin, J. L. and Yan, C. (2006). Random geometric graph diameter in the unit ball, Algorithmica To appear.
    • (2006) Algorithmica
    • Ellis, R.B.1    Martin, J.L.2    Yan, C.3
  • 45
    • 0000936284 scopus 로고
    • Graphs with prescribed degrees of vertices
    • Erdös, P. and Gallai, T. (1960). Graphs with prescribed degrees of vertices, Mat. Lapok, 11, pp. 264-274.
    • (1960) Mat. Lapok , vol.11 , pp. 264-274
    • Erdös, P.1    Gallai, T.2
  • 46
    • 84967656558 scopus 로고
    • On sums of Fibonacci numbers
    • Erdös, P. and Graham, R. L. (1972). On sums of Fibonacci numbers, Fibonacci Quarterly, 10, 3, pp. 249-254.
    • (1972) Fibonacci Quarterly , vol.10 , Issue.3 , pp. 249-254
    • Erdös, P.1    Graham, R.L.2
  • 47
    • 34250452662 scopus 로고
    • Osculation vertices in arrangements of curves
    • Erdös, P. and Grünbaum, B. (1973). Osculation vertices in arrangements of curves, Geometriae Dedicata, 1, 3, pp. 322-333.
    • (1973) Geometriae Dedicata , vol.1 , Issue.3 , pp. 322-333
    • Erdös, P.1    Grünbaum, B.2
  • 51
    • 0042158972 scopus 로고
    • Bounds for eigenvalues of doubly stochastic matrices
    • Fiedler, M. (1972). Bounds for eigenvalues of doubly stochastic matrices, Linear Algebra and Its Applications, 5, pp. 299-310.
    • (1972) Linear Algebra and Its Applications , vol.5 , pp. 299-310
    • Fiedler, M.1
  • 52
    • 0001350119 scopus 로고
    • Algebraic connectivity of graphs
    • Fiedler, M. (1973). Algebraic connectivity of graphs, Czechoslovak Mathematical Journal, 23, 98, pp. 298-305.
    • (1973) Czechoslovak Mathematical Journal , vol.23 , Issue.98 , pp. 298-305
    • Fiedler, M.1
  • 54
    • 0002256723 scopus 로고
    • Stability theory of synchronized motion in coupled-oscillator systems
    • Fujisaka, H. and Yamada, T. (1983). Stability theory of synchronized motion in coupled-oscillator systems, Progress of Theoretical Physics, 69, 1, pp. 32-47.
    • (1983) Progress of Theoretical Physics , vol.69 , Issue.1 , pp. 32-47
    • Fujisaka, H.1    Yamada, T.2
  • 55
    • 51249182622 scopus 로고
    • The eigenvalues of random symmetric matrices
    • Füredi, Z. and Komlós, J. (1981). The eigenvalues of random symmetric matrices, Combinatorica, 1, pp. 233-241.
    • (1981) Combinatorica , vol.1 , pp. 233-241
    • Füredi, Z.1    Komlós, J.2
  • 56
    • 0004131235 scopus 로고
    • (Chelsea Publishing Company, New York)
    • Gantmacher, F. R. (1960). The Theory of Matrices, vol. 1 (Chelsea Publishing Company, New York).
    • (1960) The Theory of Matrices , vol.1
    • Gantmacher, F.R.1
  • 60
    • 0003829617 scopus 로고    scopus 로고
    • Graduate Texts in Mathematics (Springer-Verlag)
    • Godsil, C. and Royle, G. (2001). Algebraic Graph Theory, Graduate Texts in Mathematics (Springer-Verlag).
    • (2001) Algebraic Graph Theory
    • Godsil, C.1    Royle, G.2
  • 62
    • 0002336892 scopus 로고
    • Stringy cosmic strings and noncompact Calabi-Yau manifolds
    • Greene, B. R., Shapere, A., Vafa, C. and Yau, S.-T. (1990). Stringy cosmic strings and noncompact Calabi-Yau manifolds, Nuclear Physics B 227(1), pp. 1-36.
    • (1990) Nuclear Physics B , vol.227 , Issue.1 , pp. 1-36
    • Greene, B.R.1    Shapere, A.2    Vafa, C.3    Yau, S.-T.4
  • 64
    • 20344377406 scopus 로고    scopus 로고
    • The worldwide air transportation network: Anomalous centrality, community structure, and cities’ global roles
    • Guimerá, R., Mossa, S., Turtschi, A. and Amaral, L. A. N. (2005). The worldwide air transportation network: Anomalous centrality, community structure, and cities’ global roles, Proceedings National Academy of Sciences, 102, 22, pp. 7794-7799.
    • (2005) Proceedings National Academy of Sciences , vol.102 , Issue.22 , pp. 7794-7799
    • Guimerá, R.1    Mossa, S.2    Turtschi, A.3    Amaral, L.A.N.4
  • 65
    • 0026925324 scopus 로고
    • New spectral methods for ratio cut partitioning and clustering
    • Hagen, L. and Kahng, A. B. (1992). New spectral methods for ratio cut partitioning and clustering, IEEE Transactions on Computer-Aided Design, 11, 9, pp. 1074-1085.
    • (1992) IEEE Transactions on Computer-Aided Design , vol.11 , Issue.9 , pp. 1074-1085
    • Hagen, L.1    Kahng, A.B.2
  • 66
    • 84974281204 scopus 로고
    • Weak ergodicitiy in non-homogeneous Markov chains
    • Hajnal, J. (1958). Weak ergodicitiy in non-homogeneous Markov chains, Proc. Cambridge Philos. Soc., 54, pp. 233-246.
    • (1958) Proc. Cambridge Philos. Soc , vol.54 , pp. 233-246
    • Hajnal, J.1
  • 67
    • 0000224828 scopus 로고
    • On the realizability of a set of integers as degrees of the vertices of a graph
    • Hakimi, S. L. (1962). On the realizability of a set of integers as degrees of the vertices of a graph, SIAM J. Appl. Math., 10, pp. 496-506.
    • (1962) SIAM J. Appl. Math , vol.10 , pp. 496-506
    • Hakimi, S.L.1
  • 70
    • 0013357555 scopus 로고
    • A remark on the existence of finite graphs
    • Havel, V. (1955). A remark on the existence of finite graphs, Casopis Pest. Mat., 80, pp. 477-480.
    • (1955) Casopis Pest. Mat , vol.80 , pp. 477-480
    • Havel, V.1
  • 73
  • 74
    • 0038548185 scopus 로고    scopus 로고
    • Coordination of groups of mobile autonomous agents using nearest neighbor rules
    • Jadbabaie, A., Lin, J. and Morse, A. S. (2003). Coordination of groups of mobile autonomous agents using nearest neighbor rules, IEEE Transactions on Automatic Control, 48, 6, pp. 988-1001.
    • (2003) IEEE Transactions on Automatic Control , vol.48 , Issue.6 , pp. 988-1001
    • Jadbabaie, A.1    Lin, J.2    Morse, A.S.3
  • 75
    • 4344617220 scopus 로고
    • The asymptotic behaviour of Fiedler’s algebraic connectivity for random graphs
    • Juhász, F. (1991). The asymptotic behaviour of Fiedler’s algebraic connectivity for random graphs, Discrete Mathematics, 96, pp. 59-63.
    • (1991) Discrete Mathematics , vol.96 , pp. 59-63
    • Juhász, F.1
  • 76
    • 0001586233 scopus 로고
    • Chaotic but regular posi-nega switch among coded attractors by cluster-size variation
    • Kaneko, K. (1989). Chaotic but regular posi-nega switch among coded attractors by cluster-size variation, Physical Review Letters, 63, 3, pp. 219-223.
    • (1989) Physical Review Letters , vol.63 , Issue.3 , pp. 219-223
    • Kaneko, K.1
  • 77
    • 0003160881 scopus 로고
    • On the characteristic roots of matrices with nonnegative elements
    • Russian
    • Karpelevich, F. I. (1951). On the characteristic roots of matrices with nonnegative elements, Izv. Akad. Nauk. USSR Ser. Mat. 14, pp. 361-383, in Russian.
    • (1951) Izv. Akad. Nauk. USSR Ser. Mat , vol.14 , pp. 361-383
    • Karpelevich, F.I.1
  • 78
    • 10044224057 scopus 로고
    • On complex eigenvalues of m and p matrices
    • Kellogg, R. B. (1972). On complex eigenvalues of m and p matrices, Numer. Math., 19, pp. 170-175.
    • (1972) Numer. Math , vol.19 , pp. 170-175
    • Kellogg, R.B.1
  • 83
    • 17744369639 scopus 로고
    • Sur la possibilité du l’équilibre électrique
    • Lévy, L. (1881). Sur la possibilité du l’équilibre électrique, C. R. Acad. Sci. Paris, 93, pp. 706-708.
    • (1881) C. R. Acad. Sci. Paris , vol.93 , pp. 706-708
    • Lévy, L.1
  • 85
    • 12944314808 scopus 로고    scopus 로고
    • Necessary and sufficient graphical conditions for formation control of unicycles
    • Lin, Z., Francis, B. and Maggiore, M. (2005). Necessary and sufficient graphical conditions for formation control of unicycles, IEEE Transactions on Automatic Control, 50, 1, pp. 121-127.
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.1 , pp. 121-127
    • Lin, Z.1    Francis, B.2    Maggiore, M.3
  • 86
    • 0022506289 scopus 로고
    • A chaotic asynchronous algorithm for computing the fixed point of a nonnegative matrix of unit spectral radius
    • Lubachevsky, B. and Mitra, D. (1986). A chaotic asynchronous algorithm for computing the fixed point of a nonnegative matrix of unit spectral radius, Journal of the Association for Computing Machinery, 33, 1, pp. 130-150.
    • (1986) Journal of the Association for Computing Machinery , vol.33 , Issue.1 , pp. 130-150
    • Lubachevsky, B.1    Mitra, D.2
  • 88
    • 0002687371 scopus 로고
    • The small-world problem
    • Milgram, S. (1967). The small-world problem, Psychology Today, 1, pp. 61-67.
    • (1967) Psychology Today , vol.1 , pp. 61-67
    • Milgram, S.1
  • 90
  • 92
    • 0002427040 scopus 로고
    • Eigenvalues, diameter, and mean distance in graphs
    • Mohar, B. (1991a). Eigenvalues, diameter, and mean distance in graphs, Graphs and Combinatorics 7, pp. 53-64.
    • (1991) Graphs and Combinatorics , vol.7 , pp. 53-64
    • Mohar, B.1
  • 93
    • 0001216057 scopus 로고
    • The Laplacian spectrum of graphs
    • Y. Alavi, G. Chartrand, O. R. Oellermann and A. J. Schwenk (eds.), Wiley
    • Mohar, B. (1991b). The Laplacian spectrum of graphs, in Y. Alavi, G. Chartrand, O. R. Oellermann and A. J. Schwenk (eds.), Graph Theory, Combinatorics, and Applications, vol. 2 (Wiley), pp. 871-898.
    • (1991) Graph Theory, Combinatorics, and Applications , vol.2 , pp. 871-898
    • Mohar, B.1
  • 94
    • 0002676043 scopus 로고    scopus 로고
    • Some applications of Laplace eigenvalues of graphs
    • G. Hahn and G. Sabidussi (eds.), Kluwer
    • Mohar, B. (1997). Some applications of Laplace eigenvalues of graphs, in G. Hahn and G. Sabidussi (eds.), Graph Symmetry: Algebraic Methods and Applications (Kluwer), pp. 225-275.
    • (1997) Graph Symmetry: Algebraic Methods and Applications , pp. 225-275
    • Mohar, B.1
  • 96
    • 12944293796 scopus 로고    scopus 로고
    • Stability of multiagent systems with time-dependent communication links
    • Moreau, L. (2005). Stability of multiagent systems with time-dependent communication links, IEEE Transactions on Automatic Control, 50, 2, pp. 169-182.
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.2 , pp. 169-182
    • Moreau, L.1
  • 98
    • 0007326895 scopus 로고
    • Generalization of the projection method with applications to SOR method for Hermitian positive semidefinite linear systems
    • Nelson, S. and Neumann, M. (1987). Generalization of the projection method with applications to SOR method for Hermitian positive semidefinite linear systems, Numerische Mathematik, 51, 2, pp. 123-141.
    • (1987) Numerische Mathematik , vol.51 , Issue.2 , pp. 123-141
    • Nelson, S.1    Neumann, M.2
  • 100
    • 0033482801 scopus 로고    scopus 로고
    • The convergence of general products of matrices and the weak ergodicity of Markov chains
    • Neumann, M. and Schneider, H. (1999). The convergence of general products of matrices and the weak ergodicity of Markov chains, Linear Algebra and its Applications, pp. 307-314.
    • (1999) Linear Algebra and its Applications , pp. 307-314
    • Neumann, M.1    Schneider, H.2
  • 101
    • 0038718854 scopus 로고    scopus 로고
    • The structure and function of complex networks
    • Newman, M. E. J. (2003). The structure and function of complex networks, SIAM Review, 45, 2, pp. 167-256.
    • (2003) SIAM Review , vol.45 , Issue.2 , pp. 167-256
    • Newman, M.E.J.1
  • 102
    • 0033487710 scopus 로고    scopus 로고
    • Scaling and percolation in the smallworld network model
    • Newman, M. E. J. and Watts, D. J. (1999). Scaling and percolation in the smallworld network model, Physical Review E, 60, 6, pp. 7332-7342.
    • (1999) Physical Review E , vol.60 , Issue.6 , pp. 7332-7342
    • Newman, M.E.J.1    Watts, D.J.2
  • 103
    • 0041707963 scopus 로고    scopus 로고
    • Heterogeneity in oscillator networks: Are smaller worlds easier to synchronize?
    • Nishikawa, T., Motter, A. E., Lai, Y.-C. and Hoppensteadt, F. C. (2003). Heterogeneity in oscillator networks: Are smaller worlds easier to synchronize? Physical Review Letters 91(1), pp. 014101-1-4.
    • (2003) Physical Review Letters , vol.91 , Issue.1 , pp. 014101-1-014101-4
    • Nishikawa, T.1    Motter, A.E.2    Lai, Y.-C.3    Hoppensteadt, F.C.4
  • 104
    • 4644244041 scopus 로고    scopus 로고
    • Consensus problems in networks of agents with switching topology and time-delays
    • Olfati-Saber, R. and Murray, R. M. (2004). Consensus problems in networks of agents with switching topology and time-delays, IEEE Transactions on Automatic Control, 49, 9, pp. 1520-1533.
    • (2004) IEEE Transactions on Automatic Control , vol.49 , Issue.9 , pp. 1520-1533
    • Olfati-Saber, R.1    Murray, R.M.2
  • 105
    • 84968515220 scopus 로고
    • Definite and quasidefinite sets of stochastic matrices
    • Paz, A. (1965). Definite and quasidefinite sets of stochastic matrices, Proceedings of the American Mathematical Society, 16, pp. 634-641.
    • (1965) Proceedings of the American Mathematical Society , vol.16 , pp. 634-641
    • Paz, A.1
  • 106
    • 2442682925 scopus 로고
    • Ergodic theorems for infinite probabilistic tables
    • Paz, A. (1970). Ergodic theorems for infinite probabilistic tables, Annals of Mathematical Statistics, 41, 2, pp. 539-550.
    • (1970) Annals of Mathematical Statistics , vol.41 , Issue.2 , pp. 539-550
    • Paz, A.1
  • 107
    • 84974143708 scopus 로고
    • Ergodic theorems for sequences of infinite stochastic matrices
    • Paz, A. and Reichaw, M. (1967). Ergodic theorems for sequences of infinite stochastic matrices, Proc. Cambridge Philos. Soc., 63, pp. 777-784.
    • (1967) Proc. Cambridge Philos. Soc , vol.63 , pp. 777-784
    • Paz, A.1    Reichaw, M.2
  • 108
    • 0343689904 scopus 로고
    • Synchronization in chaotic systems
    • Pecora, L. M. and Carroll, T. L. (1990). Synchronization in chaotic systems, Physical Review Letters, 64, 8, pp. 821-824.
    • (1990) Physical Review Letters , vol.64 , Issue.8 , pp. 821-824
    • Pecora, L.M.1    Carroll, T.L.2
  • 109
    • 0031643722 scopus 로고    scopus 로고
    • Master stability functions for synchronized chaos in arrays of oscillators
    • IEEE
    • Pecora, L. M. and Carroll, T. L. (1998a). Master stability functions for synchronized chaos in arrays of oscillators, in Proceedings of the 1998 IEEE Int. Symp. Circ. Syst., vol. 4 (IEEE), pp. IV-562-567.
    • (1998) Proceedings of the 1998 IEEE Int. Symp. Circ. Syst , vol.4 , pp. 4-562
    • Pecora, L.M.1    Carroll, T.L.2
  • 110
    • 4243241129 scopus 로고    scopus 로고
    • Master stability functions for synchronized coupled systems
    • Pecora, L. M. and Carroll, T. L. (1998b). Master stability functions for synchronized coupled systems, Physical Review Letters, 80, 10, pp. 2109-2112.
    • (1998) Physical Review Letters , vol.80 , Issue.10 , pp. 2109-2112
    • Pecora, L.M.1    Carroll, T.L.2
  • 112
    • 51249193741 scopus 로고
    • Contribution to the theory of random and biased nets
    • Rapoport, A. (1957). Contribution to the theory of random and biased nets, Bulletin of Mathematical Biology, 19, 4, pp. 257-277.
    • (1957) Bulletin of Mathematical Biology , vol.19 , Issue.4 , pp. 257-277
    • Rapoport, A.1
  • 113
    • 20344399896 scopus 로고    scopus 로고
    • Consensus seeking in multiagent systems under dynamically changing interaction topologies
    • Ren, W. and Beard, R. W. (2005). Consensus seeking in multiagent systems under dynamically changing interaction topologies, IEEE Transactions on Automatic Control, 50, 5, pp. 655-661.
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.5 , pp. 655-661
    • Ren, W.1    Beard, R.W.2
  • 114
    • 84880029368 scopus 로고    scopus 로고
    • Coordination variables and consensus building in multiple vehicle systems
    • V. Kumar, N. E. Leonard and A. S. Morse (eds.), Springer-Verlag
    • Ren, W., Beard, R. W. and McLain, T. W. (2004). Coordination variables and consensus building in multiple vehicle systems, in V. Kumar, N. E. Leonard and A. S. Morse (eds.), Cooperative Control, Lecture Notes in Control and Information Sciences, vol. 309 (Springer-Verlag), pp. 171-188.
    • (2004) Cooperative Control, Lecture Notes in Control and Information Sciences , vol.309 , pp. 171-188
    • Ren, W.1    Beard, R.W.2    McLain, T.W.3
  • 116
    • 0040029304 scopus 로고
    • On the historical development of the theory of finite inhomogeneous Markov chains
    • Seneta, E. (1973). On the historical development of the theory of finite inhomogeneous Markov chains, Proceedings of the Cambridge Philosophical Society, 74, pp. 507-513.
    • (1973) Proceedings of the Cambridge Philosophical Society , vol.74 , pp. 507-513
    • Seneta, E.1
  • 117
    • 0000210508 scopus 로고
    • Coefficients of ergodicity: Structure and applications
    • Seneta, E. (1979). Coefficients of ergodicity: structure and applications, Advances in Applied Probability, 11, pp. 576-590.
    • (1979) Advances in Applied Probability , vol.11 , pp. 576-590
    • Seneta, E.1
  • 119
    • 84987492120 scopus 로고
    • Seven criteria for integer sequences being graphic
    • Sierksma, G. and Hoogeveen, H. (1991). Seven criteria for integer sequences being graphic, Journal of Graph Theory, 15, 2, pp. 223-231.
    • (1991) Journal of Graph Theory , vol.15 , Issue.2 , pp. 223-231
    • Sierksma, G.1    Hoogeveen, H.2
  • 120
    • 0035218810 scopus 로고    scopus 로고
    • Convergence of pseudocontractions and applications to two-stage and asynchronous multisplitting for singular m-matrices
    • Su, Y. and Bhaya, A. (2001). Convergence of pseudocontractions and applications to two-stage and asynchronous multisplitting for singular m-matrices, SIAM journal of matrix analysis and its applications, 22, 3, pp. 948-964.
    • (2001) SIAM journal of matrix analysis and its applications , vol.22 , Issue.3 , pp. 948-964
    • Su, Y.1    Bhaya, A.2
  • 122
    • 0020295518 scopus 로고
    • A functional form for a particular coefficient of ergodicity
    • Tan, C.-P. (1982). A functional form for a particular coefficient of ergodicity, Journal of Applied Probability, 19, pp. 858-863.
    • (1982) Journal of Applied Probability , vol.19 , pp. 858-863
    • Tan, C.-P.1
  • 123
    • 0001790593 scopus 로고
    • Depth-first search and linear graph algorithms
    • Tarjan, R. E. (1972). Depth-first search and linear graph algorithms, SIAM Journal on Computing, 1, 2, pp. 146-160.
    • (1972) SIAM Journal on Computing , vol.1 , Issue.2 , pp. 146-160
    • Tarjan, R.E.1
  • 124
    • 0000004244 scopus 로고
    • A recurring theorem on determinants
    • Taussky, O. (1949). A recurring theorem on determinants, American Mathematical Monthly, 10, pp. 672-676.
    • (1949) American Mathematical Monthly , vol.10 , pp. 672-676
    • Taussky, O.1
  • 125
    • 0030106462 scopus 로고    scopus 로고
    • Semidefinite programming
    • Vandenberghe, L. and Boyd, S. (1996). Semidefinite programming, SIAM Review, 38, 1, pp. 49-95.
    • (1996) SIAM Review , vol.38 , Issue.1 , pp. 49-95
    • Vandenberghe, L.1    Boyd, S.2
  • 126
    • 0001730998 scopus 로고
    • Novel type of phase transition in a system of self-driven particles
    • Vicsek, T., Czirók, A., Ben-Jacob, E., Cohen, I. and Shochet, O. (1995). Novel type of phase transition in a system of self-driven particles, Physical Review Letters, 75, 6, pp. 1226-1229.
    • (1995) Physical Review Letters , vol.75 , Issue.6 , pp. 1226-1229
    • Vicsek, T.1    Czirók, A.2    Ben-Jacob, E.3    Cohen, I.4    Shochet, O.5
  • 128
    • 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, pp. 440-442.
    • (1998) Nature , vol.393 , pp. 440-442
    • Watts, D.J.1    Strogatz, S.H.2
  • 130
    • 0002843594 scopus 로고
    • The consensus of subjective probability distributions
    • Winkler, R. L. (1968). The consensus of subjective probability distributions, Management Science 15(2), pp. B61-B75.
    • (1968) Management Science , vol.15 , Issue.2 , pp. B61-B75
    • Winkler, R.L.1
  • 131
    • 84966219276 scopus 로고
    • Products of indecomposable, aperiodic, stochastic matrices
    • Wolfowitz, J. (1963). Products of indecomposable, aperiodic, stochastic matrices, Proc. Amer. Math. Soc., 14, pp. 733-737.
    • (1963) Proc. Amer. Math. Soc , vol.14 , pp. 733-737
    • Wolfowitz, J.1
  • 132
    • 0031635576 scopus 로고    scopus 로고
    • Global synchronization in coupled map lattices
    • IEEE
    • Wu, C. W. (1998a). Global synchronization in coupled map lattices, in Proceedings of the 1998 IEEE Int. Symp. Circ. Syst., vol. 3 (IEEE), pp. III-302-305.
    • (1998) Proceedings of the 1998 IEEE Int. Symp. Circ. Syst , vol.3 , pp. 302-305
    • Wu, C.W.1
  • 133
    • 0031618650 scopus 로고    scopus 로고
    • Synchronization in arrays of chaotic circuits coupled via hypergraphs: Static and dynamic coupling
    • IEEE
    • Wu, C. W. (1998b). Synchronization in arrays of chaotic circuits coupled via hypergraphs: static and dynamic coupling, in Proceedings of the 1998 IEEE Int. Symp. Circ. Syst., vol. 3 (IEEE), pp. III-287-290.
    • (1998) Proceedings of the 1998 IEEE Int. Symp. Circ. Syst , vol.3 , pp. 287-290
    • Wu, C.W.1
  • 134
    • 0035005407 scopus 로고    scopus 로고
    • Synchronization in arrays of coupled nonlinear systems: Passivity, circle criterion and observer design
    • Wu, C. W. (2001). Synchronization in arrays of coupled nonlinear systems: passivity, circle criterion and observer design, in IEEE International Symposium on Circuits and Systems, pp. III-692-695.
    • (2001) IEEE International Symposium on Circuits and Systems , pp. 692-695
    • Wu, C.W.1
  • 136
    • 0347533037 scopus 로고    scopus 로고
    • Perturbation of coupling matrices and its effect on the synchronizability in arrays of coupled chaotic circuits
    • Wu, C. W. (2003a). Perturbation of coupling matrices and its effect on the synchronizability in arrays of coupled chaotic circuits, Physics Letters A 319, pp. 495-503.
    • (2003) Physics Letters A , vol.319 , pp. 495-503
    • Wu, C.W.1
  • 139
    • 22544457667 scopus 로고    scopus 로고
    • Algebraic connectivity of directed graphs
    • Wu, C. W. (2005b). Algebraic connectivity of directed graphs, Linear and Multi-linear Algebra, 53, 3, pp. 203-223.
    • (2005) Linear and Multi-linear Algebra , vol.53 , Issue.3 , pp. 203-223
    • Wu, C.W.1
  • 140
    • 17744381357 scopus 로고    scopus 로고
    • On bounds of extremal eigenvalues of irreducible and m-reducible matrices
    • Wu, C. W. (2005c). On bounds of extremal eigenvalues of irreducible and m-reducible matrices, Linear Algebra and Its Applications 402, pp. 29-45.
    • (2005) Linear Algebra and Its Applications , vol.402 , pp. 29-45
    • Wu, C.W.1
  • 141
    • 17744377743 scopus 로고    scopus 로고
    • On Rayleigh-Ritz ratios of a generalized Laplacian matrix of directed graphs
    • Wu, C. W. (2005d). On Rayleigh-Ritz ratios of a generalized Laplacian matrix of directed graphs, Linear Algebra and its Applications 402, pp. 207-227.
    • (2005) Linear Algebra and its Applications , vol.402 , pp. 207-227
    • Wu, C.W.1
  • 142
    • 24944539632 scopus 로고    scopus 로고
    • Synchronizability of networks of chaotic systems coupled via a graph with a prescribed degree sequence
    • Wu, C. W. (2005e). Synchronizability of networks of chaotic systems coupled via a graph with a prescribed degree sequence, Physics Letters A 346, 4, pp. 281-287.
    • (2005) Physics Letters A , vol.346 , Issue.4 , pp. 281-287
    • Wu, C.W.1
  • 143
    • 20444387888 scopus 로고    scopus 로고
    • Synchronization in arrays of coupled nonlinear systems with delay and nonreciprocal time-varying coupling
    • Wu, C. W. (2005f). Synchronization in arrays of coupled nonlinear systems with delay and nonreciprocal time-varying coupling, IEEE Transactions on Circuits and Systems-II 53, 5, pp. 282-286.
    • (2005) IEEE Transactions on Circuits and Systems-II , vol.53 , Issue.5 , pp. 282-286
    • Wu, C.W.1
  • 144
    • 22544454677 scopus 로고    scopus 로고
    • Synchronization in networks of nonlinear dynamical systems coupled via a directed graph
    • Wu, C. W. (2005g). Synchronization in networks of nonlinear dynamical systems coupled via a directed graph, Nonlinearity 18, pp. 1057-1064.
    • (2005) Nonlinearity , vol.18 , pp. 1057-1064
    • Wu, C.W.1
  • 147
    • 33746130355 scopus 로고    scopus 로고
    • Synchronization and convergence of linear dynamics in random directed networks
    • Wu, C. W. (2006c). Synchronization and convergence of linear dynamics in random directed networks, IEEE Transactions on Automatic Control, 51, 7, pp. 1207-1210.
    • (2006) IEEE Transactions on Automatic Control , vol.51 , Issue.7 , pp. 1207-1210
    • Wu, C.W.1
  • 148
    • 0041988793 scopus 로고
    • A unified framework for synchronization and control of dynamical systems
    • Wu, C. W. and Chua, L. O. (1994). A unified framework for synchronization and control of dynamical systems, International Journal of Bifurcation and Chaos, 4, 4, pp. 979-998.
    • (1994) International Journal of Bifurcation and Chaos , vol.4 , Issue.4 , pp. 979-998
    • Wu, C.W.1    Chua, L.O.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.