-
3
-
-
0034624857
-
Simple rules yield complex food webs
-
Williams R.J., and Martinez N.D. Simple rules yield complex food webs. Nature 404 (2000) 180-183
-
(2000)
Nature
, vol.404
, pp. 180-183
-
-
Williams, R.J.1
Martinez, N.D.2
-
4
-
-
0033721503
-
Graph structure in the web
-
Broder A., Kumar R., Maghoul F., Raghavan P., Rajagopalan S., Stata R., et al. Graph structure in the web. Comput Networks 33 (2000) 309-320
-
(2000)
Comput Networks
, vol.33
, pp. 309-320
-
-
Broder, A.1
Kumar, R.2
Maghoul, F.3
Raghavan, P.4
Rajagopalan, S.5
Stata, R.6
-
5
-
-
0033204106
-
On power-law relationships of the Internet topology
-
Faloutsos M., Faloutsos P., and Faloutsos C. On power-law relationships of the Internet topology. Comput Commun Rev 29 4 (1999) 251-262
-
(1999)
Comput Commun Rev
, vol.29
, Issue.4
, pp. 251-262
-
-
Faloutsos, M.1
Faloutsos, P.2
Faloutsos, C.3
-
6
-
-
0032482432
-
Collective dynamics of 'small-world' networks
-
Watts D.J., and Strogatz S.H. Collective dynamics of 'small-world' networks. Nature 393 (1998) 440-442
-
(1998)
Nature
, vol.393
, pp. 440-442
-
-
Watts, D.J.1
Strogatz, S.H.2
-
7
-
-
0038483826
-
Emergence of scaling in random networks
-
Barabási A.L., and Albert R. Emergence of scaling in random networks. Science 286 (1999) 509-512
-
(1999)
Science
, vol.286
, pp. 509-512
-
-
Barabási, A.L.1
Albert, R.2
-
8
-
-
0036013593
-
Statistical mechanics of complex networks
-
Albert R., and Barabási A.L. Statistical mechanics of complex networks. Rev Mod Phys 74 (2002) 47-97
-
(2002)
Rev Mod Phys
, vol.74
, pp. 47-97
-
-
Albert, R.1
Barabási, A.L.2
-
9
-
-
0002256723
-
Stability theory of synchronized motion in coupled-oscillator systems
-
Fujisaka H., and Yamada T. Stability theory of synchronized motion in coupled-oscillator systems. Progr Theor Phys 69 1 (1983) 32-47
-
(1983)
Progr Theor Phys
, vol.69
, Issue.1
, pp. 32-47
-
-
Fujisaka, H.1
Yamada, T.2
-
11
-
-
0029358909
-
Synchronization in an array of linearly coupled dynamical systems
-
Wu C.W., and Chua L.O. Synchronization in an array of linearly coupled dynamical systems. IEEE Trans Circ Syst I 42 (1995) 430-447
-
(1995)
IEEE Trans Circ Syst I
, vol.42
, pp. 430-447
-
-
Wu, C.W.1
Chua, L.O.2
-
12
-
-
0003305527
-
Synchronization in arrays of coupled chaotic circuits and systems: theory and applications
-
Chen G. (Ed), CRC Press, Boca Raton (FL) [chapter 23]
-
Wu C.W. Synchronization in arrays of coupled chaotic circuits and systems: theory and applications. In: Chen G. (Ed). Controlling chaos and bifurcations in engineering systems (1999), CRC Press, Boca Raton (FL) [chapter 23]
-
(1999)
Controlling chaos and bifurcations in engineering systems
-
-
Wu, C.W.1
-
13
-
-
0035481261
-
Synchronization in arrays of coupled nonlinear systems: passivity, circle criterion, and observer design
-
Wu C.W. Synchronization in arrays of coupled nonlinear systems: passivity, circle criterion, and observer design. IEEE Trans Circ Syst I 48 (2001) 1257-1261
-
(2001)
IEEE Trans Circ Syst I
, vol.48
, pp. 1257-1261
-
-
Wu, C.W.1
-
15
-
-
0037301537
-
Synchronization in coupled arrays of chaotic oscillators with nonreciprocal coupling
-
Wu C.W. Synchronization in coupled arrays of chaotic oscillators with nonreciprocal coupling. IEEE Trans Circ Syst I 50 (2003) 294-297
-
(2003)
IEEE Trans Circ Syst I
, vol.50
, pp. 294-297
-
-
Wu, C.W.1
-
16
-
-
0347533037
-
Perturbation of coupling matrices and its effect on the synchronizability in arrays of coupled chaotic systems
-
Wu C.W. Perturbation of coupling matrices and its effect on the synchronizability in arrays of coupled chaotic systems. Phys Lett A 319 (2003) 495-503
-
(2003)
Phys Lett A
, vol.319
, pp. 495-503
-
-
Wu, C.W.1
-
17
-
-
4243241129
-
Master stability functions for synchronized coupled systems
-
Pecora L., and Carroll T. Master stability functions for synchronized coupled systems. Phys Rev Lett 80 10 (1998) 2109-2112
-
(1998)
Phys Rev Lett
, vol.80
, Issue.10
, pp. 2109-2112
-
-
Pecora, L.1
Carroll, T.2
-
18
-
-
0000540384
-
Three coupled oscillators as a universal probe of synchronization stability in coupled oscillator arrays
-
Fink K.S., Johnson G., Carroll T., Mar D., and Pecora L. Three coupled oscillators as a universal probe of synchronization stability in coupled oscillator arrays. Phys Rev E 61 5 (2000) 5080-5090
-
(2000)
Phys Rev E
, vol.61
, Issue.5
, pp. 5080-5090
-
-
Fink, K.S.1
Johnson, G.2
Carroll, T.3
Mar, D.4
Pecora, L.5
-
19
-
-
3343010976
-
Synchronization in small-world systems
-
054101(1-4)
-
Barahona M., and Pecora L.M. Synchronization in small-world systems. Phys Rev Lett 89 5 (2002) 054101(1-4)
-
(2002)
Phys Rev Lett
, vol.89
, Issue.5
-
-
Barahona, M.1
Pecora, L.M.2
-
20
-
-
0003582543
-
-
Cambridge University Press, Cambridge, UK
-
Ott E. Chaos in dynamical systems (1993), Cambridge University Press, Cambridge, UK
-
(1993)
Chaos in dynamical systems
-
-
Ott, E.1
-
21
-
-
0036125429
-
Synchronization in scale-free dynamical networks: robustness and fragility
-
Wang X.F., and Chen G. Synchronization in scale-free dynamical networks: robustness and fragility. IEEE Trans Circ Syst I 49 1 (2002) 54-62
-
(2002)
IEEE Trans Circ Syst I
, vol.49
, Issue.1
, pp. 54-62
-
-
Wang, X.F.1
Chen, G.2
-
22
-
-
0041707963
-
Heterogeneity in oscillator networks: are smaller worlds easier to synchronize?
-
Nishikawa T., Motter A.E., Lai Y.-C., and Hoppensteadt F.C. Heterogeneity in oscillator networks: are smaller worlds easier to synchronize?. Phys Rev Lett 91 (2003) 014101
-
(2003)
Phys Rev Lett
, vol.91
, pp. 014101
-
-
Nishikawa, T.1
Motter, A.E.2
Lai, Y.-C.3
Hoppensteadt, F.C.4
-
23
-
-
0242443717
-
Synchronization and desynchronization of complex dynamical networks: an engineering viewpoint
-
Li X., and Chen G. Synchronization and desynchronization of complex dynamical networks: an engineering viewpoint. IEEE Trans Circ Syst I 50 11 (2003) 1381-1390
-
(2003)
IEEE Trans Circ Syst I
, vol.50
, Issue.11
, pp. 1381-1390
-
-
Li, X.1
Chen, G.2
-
24
-
-
2542606242
-
Characterizing the synchronizability of small-world dynamical networks
-
Lu J., Yu X., Chen G., and Cheng D. Characterizing the synchronizability of small-world dynamical networks. IEEE Trans Circ Syst I: Regular papers 51 4 (2004) 787-796
-
(2004)
IEEE Trans Circ Syst I: Regular papers
, vol.51
, Issue.4
, pp. 787-796
-
-
Lu, J.1
Yu, X.2
Chen, G.3
Cheng, D.4
-
25
-
-
32644462566
-
Universality in the synchronization of weighted random networks
-
Zhou C., Motter A.E., and Kurths J. Universality in the synchronization of weighted random networks. Phys Rev Lett 96 (2006) 034101
-
(2006)
Phys Rev Lett
, vol.96
, pp. 034101
-
-
Zhou, C.1
Motter, A.E.2
Kurths, J.3
-
26
-
-
3042858242
-
Connection graph stability method for synchronized coupled chaotic systems
-
Belykh V.N., Belykh I.V., and Hasler M. Connection graph stability method for synchronized coupled chaotic systems. Physica D 195 (2004) 159-187
-
(2004)
Physica D
, vol.195
, pp. 159-187
-
-
Belykh, V.N.1
Belykh, I.V.2
Hasler, M.3
-
27
-
-
3042776965
-
Blinking model and synchronization in small-world networks with a time-varying coupling
-
Belykh I.V., Belykh V.N., and Hasler M. Blinking model and synchronization in small-world networks with a time-varying coupling. Physica D 195 (2004) 188-206
-
(2004)
Physica D
, vol.195
, pp. 188-206
-
-
Belykh, I.V.1
Belykh, V.N.2
Hasler, M.3
-
29
-
-
4344690153
-
On the synchronization region in networks of coupled oscillators
-
Checco P., Kocarev L., Maggio G.M., and Biey M. On the synchronization region in networks of coupled oscillators. ISCAS IV (2004) 800-803
-
(2004)
ISCAS
, vol.IV
, pp. 800-803
-
-
Checco, P.1
Kocarev, L.2
Maggio, G.M.3
Biey, M.4
-
34
-
-
0038652158
-
The spectra of random graphs with given expected degrees
-
Chung F., Lu L., and Vu V. The spectra of random graphs with given expected degrees. Proc Natl Acad Sci 100 11 (2003) 6313-6318
-
(2003)
Proc Natl Acad Sci
, vol.100
, Issue.11
, pp. 6313-6318
-
-
Chung, F.1
Lu, L.2
Vu, V.3
-
38
-
-
84987593465
-
Laplace eigenvalues and bandwidth-type invariants of graphs
-
Juvan M., and Mohar B. Laplace eigenvalues and bandwidth-type invariants of graphs. J. Graph Theory 17 (1993) 393-407
-
(1993)
J. Graph Theory
, vol.17
, pp. 393-407
-
-
Juvan, M.1
Mohar, B.2
-
39
-
-
0000664045
-
The asymptotic number of labelled graphs with given degree sequences
-
Bender E.A., and Canfield E.R. The asymptotic number of labelled graphs with given degree sequences. J Combinat Theory (A) 24 (1978) 296-307
-
(1978)
J Combinat Theory (A)
, vol.24
, pp. 296-307
-
-
Bender, E.A.1
Canfield, E.R.2
-
40
-
-
84990671447
-
A critical point for random graphs with a given degree sequence
-
Molloy M., and Reed B. A critical point for random graphs with a given degree sequence. Rand Struct Algorith 6 2-3 (1995) 161-179
-
(1995)
Rand Struct Algorith
, vol.6
, Issue.2-3
, pp. 161-179
-
-
Molloy, M.1
Reed, B.2
-
41
-
-
0032286776
-
The size of the giant component of a random graph with a given degree sequence
-
Molloy M., and Reed B. The size of the giant component of a random graph with a given degree sequence. Combinat Probab Comput 7 3 (1998) 295-305
-
(1998)
Combinat Probab Comput
, vol.7
, Issue.3
, pp. 295-305
-
-
Molloy, M.1
Reed, B.2
-
42
-
-
0035625228
-
The degree sequence of a scale-free random graph process
-
Bollobás B., Riordan O., Spencer J., and Tusnady G. The degree sequence of a scale-free random graph process. Rand Struct Algorith 18 3 (2001) 279-290
-
(2001)
Rand Struct Algorith
, vol.18
, Issue.3
, pp. 279-290
-
-
Bollobás, B.1
Riordan, O.2
Spencer, J.3
Tusnady, G.4
-
43
-
-
0034497785
-
-
Kumar R, Raghavan P, Rajagopalan S, Sivakumar D, Tomkins A, Upfal E, Stochastic models for the web graph. In: Proceedings of the 41st annual symposium on foundations of computer science, 2000. p. 57-65.
-
-
-
-
44
-
-
0003129436
-
Random evolution in massive graphs
-
Abello J., et al. (Ed), Kluwer Academic Publishers
-
Aiello W., Chung F., and Lu L. Random evolution in massive graphs. In: Abello J., et al. (Ed). Handbook on massive data sets (2002), Kluwer Academic Publishers 97-122
-
(2002)
Handbook on massive data sets
, pp. 97-122
-
-
Aiello, W.1
Chung, F.2
Lu, L.3
-
45
-
-
84943237131
-
-
Cooper C, Frieze A. A general model of web graphs. In: Proceedings of ESA 2001, 2001. p. 500-11.
-
-
-
-
46
-
-
0038763983
-
Connected components in random graphs with given expected degree sequences
-
Chung F., and Lu L. Connected components in random graphs with given expected degree sequences. Ann Combinat 6 (2001) 125-145
-
(2001)
Ann Combinat
, vol.6
, pp. 125-145
-
-
Chung, F.1
Lu, L.2
-
47
-
-
0033687763
-
-
Aiello W, Chung F, Lu L. A random graph model for massive graphs. In: Proceedings of the thirty-second annual ACM symposium on theory of computing, 2000. p. 171-80.
-
-
-
-
48
-
-
0001350119
-
Algebraic connectivity of graphs
-
Fiedler M. Algebraic connectivity of graphs. Czech Math J 23 98 (1973) 298-305
-
(1973)
Czech Math J
, vol.23
, Issue.98
, pp. 298-305
-
-
Fiedler, M.1
-
49
-
-
0001649842
-
Isoperimetric numbers of graphs
-
Mohar B. Isoperimetric numbers of graphs. J Combinat Theo Ser B 47 (1989) 274-291
-
(1989)
J Combinat Theo Ser B
, vol.47
, pp. 274-291
-
-
Mohar, B.1
-
50
-
-
0001246517
-
The isoperimetric number of random regular graphs
-
Bollobás B. The isoperimetric number of random regular graphs. Euro J Combinat 9 (1988) 241-244
-
(1988)
Euro J Combinat
, vol.9
, pp. 241-244
-
-
Bollobás, B.1
-
51
-
-
24144451978
-
The small world phenomenon in hybrid power law graphs
-
Ben-Naim E., Frauenfelder H., and Toroczkai Z. (Eds), Springer-Verlag
-
Chung F., and Lu L. The small world phenomenon in hybrid power law graphs. In: Ben-Naim E., Frauenfelder H., and Toroczkai Z. (Eds). Complex networks (2004), Springer-Verlag 91-106
-
(2004)
Complex networks
, pp. 91-106
-
-
Chung, F.1
Lu, L.2
-
52
-
-
34548648125
-
-
F. Chung, personal communication.
-
-
-
|