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Volumn 13, Issue 4, 2003, Pages 781-796

Synchronization of coupled extended dynamical systems: A short review

Author keywords

Cellular automata; Spatially extended systems; Synchronization

Indexed keywords

AUTOMATA THEORY; NEURAL NETWORKS; OSCILLATIONS;

EID: 0037732522     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127403007114     Document Type: Review
Times cited : (16)

References (47)
  • 2
    • 0034638808 scopus 로고    scopus 로고
    • Long transients and cluster size in globally coupled maps
    • Abramson, G. [2000] "Long transients and cluster size in globally coupled maps," Europhys. Lett. 52(6), 615-619.
    • (2000) Europhys. Lett. , vol.52 , Issue.6 , pp. 615-619
    • Abramson, G.1
  • 3
    • 0031560895 scopus 로고    scopus 로고
    • Synchronization of spatiotemporal chaos: The regime of coupled spatiotemporal intermittency
    • Amengual, A., Hernández-García, E., Montagne, R. & San Miguel, M. [1997] "Synchronization of spatiotemporal chaos: The regime of coupled spatiotemporal intermittency," Phys. Rev. Lett. 78(23), 4379-4382.
    • (1997) Phys. Rev. Lett. , vol.78 , Issue.23 , pp. 4379-4382
    • Amengual, A.1    Hernández-García, E.2    Montagne, R.3    San Miguel, M.4
  • 4
    • 0001505329 scopus 로고    scopus 로고
    • Synchronization and maximum Lyapunov exponents of cellular automata
    • Bagnoli, F. & Rechtman, R. [1999] "Synchronization and maximum Lyapunov exponents of cellular automata," Phys. Rev. E59(2), R1307-R1310.
    • (1999) Phys. Rev. , vol.E59 , Issue.2
    • Bagnoli, F.1    Rechtman, R.2
  • 5
    • 0001866395 scopus 로고    scopus 로고
    • Closing probabilities in the Kauffman model: An annealed computation
    • Bastolla, U. & Parisi, G. [1996] "Closing probabilities in the Kauffman model: An annealed computation," Physica D98(1), 1-25.
    • (1996) Physica , vol.D98 , Issue.1 , pp. 1-25
    • Bastolla, U.1    Parisi, G.2
  • 6
    • 22244483129 scopus 로고    scopus 로고
    • Relevant elements, magnetization and dynamical properties in Kauffman networks
    • Bastolla, U. & Parisi, G. [1998a] "Relevant elements, magnetization and dynamical properties in Kauffman networks," Physica D115(3 & 4), 203-218.
    • (1998) Physica , vol.D115 , Issue.3-4 , pp. 203-218
    • Bastolla, U.1    Parisi, G.2
  • 7
    • 0000676885 scopus 로고    scopus 로고
    • The modular structure of Kauffman networks
    • Bastolla, U. & Parisi, G. [1998b] "The modular structure of Kauffman networks," Physica D115 (3 & 4), 219-233.
    • (1998) Physica , vol.D115 , Issue.3-4 , pp. 219-233
    • Bastolla, U.1    Parisi, G.2
  • 9
    • 0016957851 scopus 로고
    • Synchronous fireflies
    • Buck, J. & Buck, E. [1976] "Synchronous fireflies," Sci. Am. 234(5), 74-85.
    • (1976) Sci. Am. , vol.234 , Issue.5 , pp. 74-85
    • Buck, J.1    Buck, E.2
  • 10
    • 0001570882 scopus 로고    scopus 로고
    • Broken ergodicity and glassy behavior in a deterministic chaotic map
    • Crisanti, A., Falcioni, M. & Vulpiani, A. [1996] "Broken ergodicity and glassy behavior in a deterministic chaotic map," Phys. Rev. Lett. 76(4), 612-615.
    • (1996) Phys. Rev. Lett. , vol.76 , Issue.4 , pp. 612-615
    • Crisanti, A.1    Falcioni, M.2    Vulpiani, A.3
  • 11
    • 84956252965 scopus 로고
    • Random networks of automata: A simple annealed approximation
    • Derrida, B. & Pomeau, Y. [1986] "Random networks of automata: A simple annealed approximation," Europhys. Lett. 1(2), 45-49.
    • (1986) Europhys. Lett. , vol.1 , Issue.2 , pp. 45-49
    • Derrida, B.1    Pomeau, Y.2
  • 12
    • 0000872030 scopus 로고
    • Evolution of overlaps between configurations in random Boolean networks
    • Derrida, B. & Weisbuch, G. [1986] "Evolution of overlaps between configurations in random Boolean networks," J. Physique 47(8), 1297-1303.
    • (1986) J. Physique , vol.47 , Issue.8 , pp. 1297-1303
    • Derrida, B.1    Weisbuch, G.2
  • 13
    • 0001065928 scopus 로고
    • An order parameter for networks of automata
    • Flyvbjerg, H. [1988] "An order parameter for networks of automata," J. Phys. A: Math. Gen. 21(19), L955-L960.
    • (1988) J. Phys. A: Math. Gen. , vol.21 , Issue.19
    • Flyvbjerg, H.1
  • 14
    • 0002256723 scopus 로고
    • Stability theory of synchronized motion in coupled oscillator systems
    • Fujisaka, H. & Yamada, T. [1983] "Stability theory of synchronized motion in coupled oscillator systems," Prog. Theor. Phys. 69(1), 32-47.
    • (1983) Prog. Theor. Phys. , vol.69 , Issue.1 , pp. 32-47
    • Fujisaka, H.1    Yamada, T.2
  • 15
    • 33745981128 scopus 로고
    • Clustering in globally coupled phase oscillators
    • Golomb, D., Hansel, D., Shraiman, B. & Sompolinsky, H. [1992] "Clustering in globally coupled phase oscillators," Phys. Rev. A45(6), 3516-3530.
    • (1992) Phys. Rev. , vol.A45 , Issue.6 , pp. 3516-3530
    • Golomb, D.1    Hansel, D.2    Shraiman, B.3    Sompolinsky, H.4
  • 16
    • 0001138438 scopus 로고    scopus 로고
    • Synchronization of coupled systems with spatiotemporal chaos
    • Grassberger, P. [1999] "Synchronization of coupled systems with spatiotemporal chaos," Phys. Rev. E59(3), R2520-R2522.
    • (1999) Phys. Rev. , vol.E59 , Issue.3
    • Grassberger, P.1
  • 17
    • 0000265121 scopus 로고
    • Synchronous chaos in coupled oscillator systems
    • Heagy, J. F., Carroll, T. L. & Pecora, L. M. [1994] "Synchronous chaos in coupled oscillator systems," Phys. Rev. E50(3), 1874-1885.
    • (1994) Phys. Rev. , vol.E50 , Issue.3 , pp. 1874-1885
    • Heagy, J.F.1    Carroll, T.L.2    Pecora, L.M.3
  • 18
    • 0038279165 scopus 로고
    • Cellular automata
    • ed. Proto, A. N. (North-Holland, Amsterdam)
    • Herrmann, H. J. [1989] "Cellular automata," in Nonlinear Phenomena in Complex Systems, ed. Proto, A. N. (North-Holland, Amsterdam), pp. 151-199.
    • (1989) Nonlinear Phenomena in Complex Systems , pp. 151-199
    • Herrmann, H.J.1
  • 19
    • 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," Phys. Rev. Lett. 63(3), 219-223.
    • (1989) Phys. Rev. Lett. , vol.63 , Issue.3 , pp. 219-223
    • Kaneko, K.1
  • 20
    • 5244237607 scopus 로고
    • Globally coupled chaos violates the law of large numbers but not the central-limit theorem
    • Kaneko, K. [1990] "Globally coupled chaos violates the law of large numbers but not the central-limit theorem," Phys. Rev. Lett. 65(12), 1391-1394.
    • (1990) Phys. Rev. Lett. , vol.65 , Issue.12 , pp. 1391-1394
    • Kaneko, K.1
  • 22
    • 0002215637 scopus 로고
    • Relevance of clustering to biological networks
    • Kaneko, K. [1994] "Relevance of clustering to biological networks," Physica D75 (1-3), 55-73.
    • (1994) Physica , vol.D75 , Issue.1-3 , pp. 55-73
    • Kaneko, K.1
  • 23
    • 0014489272 scopus 로고
    • Metabolic stability and epigenesis in random constructed genetic nets
    • Kauffman, S. A. [1969] "Metabolic stability and epigenesis in random constructed genetic nets," J. Theor. Biol. 22(3), 437-467.
    • (1969) J. Theor. Biol. , vol.22 , Issue.3 , pp. 437-467
    • Kauffman, S.A.1
  • 24
    • 0020495096 scopus 로고
    • Emergent properties in random complex automata
    • Kauffman, S. A. [1984] "Emergent properties in random complex automata," Physica D10 (1 & 2), 145-156.
    • (1984) Physica , vol.D10 , Issue.1-2 , pp. 145-156
    • Kauffman, S.A.1
  • 27
    • 0035793526 scopus 로고    scopus 로고
    • Globally coupled logistic maps as dynamical glasses
    • Manrubia, S. C. & Mikhailov A. S. [2001] "Globally coupled logistic maps as dynamical glasses," Euro-phys. Lett. 53(4), 451-457.
    • (2001) Euro-phys. Lett. , vol.53 , Issue.4 , pp. 451-457
    • Manrubia, S.C.1    Mikhailov, A.S.2
  • 29
    • 0002955610 scopus 로고    scopus 로고
    • Synchronization of stochastically coupled cellular automata
    • Morelli, L. G. & Zanette, D. H. [1998] "Synchronization of stochastically coupled cellular automata," Phys. Rev. E58(1), R8-R11.
    • (1998) Phys. Rev. , vol.E58 , Issue.1
    • Morelli, L.G.1    Zanette, D.H.2
  • 30
    • 4244104303 scopus 로고    scopus 로고
    • Synchronization of Kauffman networks
    • Morelli, L. G. & Zanette, D. H. [2001] "Synchronization of Kauffman networks," Phys. Rev. E63(3), 036204.
    • (2001) Phys. Rev. , vol.E63 , Issue.3 , pp. 036204
    • Morelli, L.G.1    Zanette, D.H.2
  • 33
    • 0001044789 scopus 로고
    • Nonstatistical behavior of coupled optical systems
    • Perez, G., Pando-Lambruschini, C., Sinha, S. & Cerdeira, H. A. [1992] "Nonstatistical behavior of coupled optical systems," Phys. Rev. A45(8), 5469-5473.
    • (1992) Phys. Rev. , vol.A45 , Issue.8 , pp. 5469-5473
    • Perez, G.1    Pando-Lambruschini, C.2    Sinha, S.3    Cerdeira, H.A.4
  • 34
    • 0001479293 scopus 로고
    • Order in the turbulent phase of globally coupled maps
    • Perez, G., Sinha, S., & Cerdeira, H. A. [1993] "Order in the turbulent phase of globally coupled maps," Physica D63 (3 & 4), 341-349.
    • (1993) Physica , vol.D63 , Issue.3-4 , pp. 341-349
    • Perez, G.1    Sinha, S.2    Cerdeira, H.A.3
  • 35
    • 4243262725 scopus 로고    scopus 로고
    • Phase synchronization of chaotic oscillators
    • Rosemblum, M. G., Pikovsky, A. S. & Kurths, J. [1996] "Phase synchronization of chaotic oscillators," Phys. Rev. Lett. 76(11), 1804-1807.
    • (1996) Phys. Rev. Lett. , vol.76 , Issue.11 , pp. 1804-1807
    • Rosemblum, M.G.1    Pikovsky, A.S.2    Kurths, J.3
  • 36
    • 0031548743 scopus 로고    scopus 로고
    • From phase to lag synchronization in coupled chaotic oscillators
    • Rosemblum, M. G., Pikovsky, A. S. & Kurths, J. [1997] "From phase to lag synchronization in coupled chaotic oscillators," Phys. Rev. Lett. 78(22), 4193-4196.
    • (1997) Phys. Rev. Lett. , vol.78 , Issue.22 , pp. 4193-4196
    • Rosemblum, M.G.1    Pikovsky, A.S.2    Kurths, J.3
  • 37
    • 0027519363 scopus 로고
    • Coupled oscillators and biological synchronization
    • Strogatz, S. H. & Stewart, I. [1993] "Coupled oscillators and biological synchronization," Sci. Am. 269(6), 68-75.
    • (1993) Sci. Am. , vol.269 , Issue.6 , pp. 68-75
    • Strogatz, S.H.1    Stewart, I.2
  • 38
    • 0000254372 scopus 로고
    • Acoustic synchrony: Two mechanisms in the snowy tree cricket
    • Walker, T. J. [1969] "Acoustic synchrony: Two mechanisms in the snowy tree cricket," Science 166(3907), 891-894.
    • (1969) Science , vol.166 , Issue.3907 , pp. 891-894
    • Walker, T.J.1
  • 39
    • 0037941928 scopus 로고
    • Dynamical behavior of the firings in a coupled neuronal system
    • Wang, W., Perez, G. & Cerdeira, H. A. [1993] "Dynamical behavior of the firings in a coupled neuronal system," Phys. Rev. E47(4), 2893-2898.
    • (1993) Phys. Rev. , vol.E47 , Issue.4 , pp. 2893-2898
    • Wang, W.1    Perez, G.2    Cerdeira, H.A.3
  • 40
    • 0034147063 scopus 로고    scopus 로고
    • Experiments on arrays of globally coupled chaotic electro-chemical oscillators: Synchronization and clustering
    • Wang, W., Kiss, I. S. & Hudson, J. L. [2000] "Experiments on arrays of globally coupled chaotic electro-chemical oscillators: Synchronization and clustering," Chaos 10(1), 248-256.
    • (2000) Chaos , vol.10 , Issue.1 , pp. 248-256
    • Wang, W.1    Kiss, I.S.2    Hudson, J.L.3
  • 41
    • 0032482432 scopus 로고    scopus 로고
    • Collective dynamics of 'small-world' networks
    • Watts, D. J. & Strogatz, S. H. [1998] "Collective dynamics of 'small-world' networks," Nature 393(6684), 440-442.
    • (1998) Nature , vol.393 , Issue.6684 , pp. 440-442
    • Watts, D.J.1    Strogatz, S.H.2
  • 43
    • 35949018560 scopus 로고
    • Statistical mechanics of cellular automata
    • Wolfram, S. [1983] "Statistical mechanics of cellular automata," Rev. Mod. Phys. 55(3), 601-644.
    • (1983) Rev. Mod. Phys. , vol.55 , Issue.3 , pp. 601-644
    • Wolfram, S.1
  • 45
    • 0000101116 scopus 로고    scopus 로고
    • Condensation in globally coupled populations of chaotic dynamical systems
    • Zanette, D. H. & Mikhailov, A. S. [1998a] "Condensation in globally coupled populations of chaotic dynamical systems," Phys. Rev. E57(1), 276-281.
    • (1998) Phys. Rev. , vol.E57 , Issue.1 , pp. 276-281
    • Zanette, D.H.1    Mikhailov, A.S.2
  • 46
    • 0032112573 scopus 로고    scopus 로고
    • Mutual synchronization in ensembles of globally coupled neural networks
    • Zanette, D. H. & Mikhailov, A. S. [1998b] "Mutual synchronization in ensembles of globally coupled neural networks," Phys. Rev. E58(1), 872-875.
    • (1998) Phys. Rev. , vol.E58 , Issue.1 , pp. 872-875
    • Zanette, D.H.1    Mikhailov, A.S.2
  • 47
    • 0034514395 scopus 로고    scopus 로고
    • Dynamical clustering in large populations of Rössler oscillators under the action of noise
    • Zanette, D. H. & Mikhailov, A. S. [2000] "Dynamical clustering in large populations of Rössler oscillators under the action of noise," Phys. Rev. E62(6), R7571-R7574.
    • (2000) Phys. Rev. , vol.E62 , Issue.6
    • Zanette, D.H.1    Mikhailov, A.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.