메뉴 건너뛰기




Volumn 69, Issue 1-2, 2012, Pages 667-683

Generalized synchronization of the fractional-order chaos in weighted complex dynamical networks with nonidentical nodes

Author keywords

Chaotic system; Fractional order; Generalized synchronization; Nonidentical nodes; Weighted complex networks

Indexed keywords

COMPLEX DYNAMICAL NETWORKS; COMPLEX NETWORKS; FEEDBACK GAIN; FRACTIONAL ORDER; FRACTIONAL-ORDER CHAOTIC SYSTEMS; GENERALIZED CHAOTIC SYNCHRONIZATION; GENERALIZED SYNCHRONIZATION; GOAL DYNAMICS; NOISE PERTURBATION; NON-LINEAR CONTROLLERS; NONIDENTICAL NODES; STABILITY THEORIES; THEORETICAL RESULT; WEIGHTED COMPLEX NETWORKS; WEIGHTED NETWORKS;

EID: 84861733446     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-011-0295-9     Document Type: Article
Times cited : (73)

References (36)
  • 1
    • 0343689904 scopus 로고
    • Synchronization in chaotic systems
    • 1038263 10.1103/PhysRevLett.64.821
    • L.M. Pecora T.L. Carroll 1990 Synchronization in chaotic systems Phys. Rev. Lett. 64 821 824 1038263 10.1103/PhysRevLett.64.821
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 821-824
    • Pecora, L.M.1    Carroll, T.L.2
  • 2
    • 33744833457 scopus 로고
    • Generalized synchronization of chaos in directionally coupled chaotic systems
    • 10.1103/PhysRevE.51.980
    • N.F. Rulkov M.M. Sushchik L.S. Tsimring 1995 Generalized synchronization of chaos in directionally coupled chaotic systems Phys. Rev. E 51 980 994 10.1103/PhysRevE.51.980
    • (1995) Phys. Rev. e , vol.51 , pp. 980-994
    • Rulkov, N.F.1    Sushchik, M.M.2    Tsimring, L.S.3
  • 3
    • 0000777715 scopus 로고    scopus 로고
    • Projective synchronization in three-dimensional chaotic systems
    • R. Mainieri J. Rehacek 1999 Projective synchronization in three-dimensional chaotic systems Phys. Rev. Lett. 82 3042 3045 10.1103/PhysRevLett.82.3042 (Pubitemid 129689207)
    • (1999) Physical Review Letters , vol.82 , Issue.15 , pp. 3042-3045
    • Mainieri, R.1    Rehacek, J.2
  • 4
    • 4243073993 scopus 로고    scopus 로고
    • Lag synchronization of Rössler system and Chua circuit via a scalar signal
    • 2095330 1209.93118 10.1016/j.physleta.2004.06.077
    • C. Li X. Liao 2004 Lag synchronization of Rössler system and Chua circuit via a scalar signal Phys. Lett. A 329 301 308 2095330 1209.93118 10.1016/j.physleta.2004.06.077
    • (2004) Phys. Lett. A , vol.329 , pp. 301-308
    • Li, C.1    Liao, X.2
  • 5
    • 0032482432 scopus 로고    scopus 로고
    • Collective dynamics of 'small-world' networks
    • DOI 10.1038/30918
    • D.J. Watts S.H. Strogatz 1998 Collective dynamics of "small- world" networks Nature 393 440 442 10.1038/30918 (Pubitemid 28292183)
    • (1998) Nature , vol.393 , Issue.6684 , pp. 440-442
    • Watts, D.J.1    Strogatz, S.H.2
  • 6
    • 0038483826 scopus 로고    scopus 로고
    • Emergence of scaling in random networks
    • 2091634 10.1126/science.286.5439.509
    • A.L. Barabási R. Albert 1999 Emergence of scaling in random networks Science 286 509 512 2091634 10.1126/science.286.5439.509
    • (1999) Science , vol.286 , pp. 509-512
    • Barabási, A.L.1    Albert, R.2
  • 7
    • 0035826155 scopus 로고    scopus 로고
    • Exploring complex networks
    • DOI 10.1038/35065725
    • S.H. Strogatz 2001 Exploring complex networks Nature 410 268 276 10.1038/35065725 (Pubitemid 32216604)
    • (2001) Nature , vol.410 , Issue.6825 , pp. 268-276
    • Strogatz, S.H.1
  • 8
    • 0036013593 scopus 로고    scopus 로고
    • Statistical mechanics of complex networks
    • 1205.82086 10.1103/RevModPhys.74.47
    • R. Albert A.L. Barabási 2002 Statistical mechanics of complex networks Rev. Mod. Phys. 74 47 97 1205.82086 10.1103/RevModPhys.74.47
    • (2002) Rev. Mod. Phys. , vol.74 , pp. 47-97
    • Albert, R.1    Barabási, A.L.2
  • 9
    • 0037460091 scopus 로고    scopus 로고
    • Evolving protein interaction networks through gene duplication
    • DOI 10.1016/S0022-5193(03)00028-6
    • R. Pastor-Satorras E. Smith R.V. Sole 2003 Evolving protein interaction networks through gene duplication J. Theor. Biol. 222 199 210 2070214 10.1016/S0022-5193(03)00028-6 (Pubitemid 36506752)
    • (2003) Journal of Theoretical Biology , vol.222 , Issue.2 , pp. 199-210
    • Pastor-Satorras, R.1    Smith, E.2    Sole, R.V.3
  • 12
    • 56549084695 scopus 로고    scopus 로고
    • Synchronization in complex networks
    • 2477097 10.1016/j.physrep.2008.09.002
    • A. Arenas A.D. Guilera J. Kurths Y. Moreno C. Zhou 2008 Synchronization in complex networks Phys. Rep. 469 93 153 2477097 10.1016/j.physrep.2008.09.002
    • (2008) Phys. Rep. , vol.469 , pp. 93-153
    • Arenas, A.1    Guilera, A.D.2    Kurths, J.3    Moreno, Y.4    Zhou, C.5
  • 13
    • 58349088745 scopus 로고    scopus 로고
    • On pinning synchronization of complex dynamical networks
    • 1158.93308 10.1016/j.automatica.2008.07.016
    • W. Yu G. Chen J. Lü 2009 On pinning synchronization of complex dynamical networks Automatica 45 429 435 1158.93308 10.1016/j.automatica.2008. 07.016
    • (2009) Automatica , vol.45 , pp. 429-435
    • Yu, W.1    Chen, G.2    Lü, J.3
  • 14
    • 77956610759 scopus 로고    scopus 로고
    • Adaptive synchronization of chaotic Cohen-Crossberg neural networks with mixed time delays
    • 2718311 1204.93064 10.1007/s11071-010-9668-8
    • Q. Zhu J. Cao 2010 Adaptive synchronization of chaotic Cohen-Crossberg neural networks with mixed time delays Nonlinear Dyn. 61 517 534 2718311 1204.93064 10.1007/s11071-010-9668-8
    • (2010) Nonlinear Dyn. , vol.61 , pp. 517-534
    • Zhu, Q.1    Cao, J.2
  • 15
    • 77956060087 scopus 로고    scopus 로고
    • Analyzing inner and outer synchronization between two coupled discrete-time networks with time delays
    • 10.1007/s11571-010-9118-9
    • W. Sun R. Wang W. Wang J. Cao 2010 Analyzing inner and outer synchronization between two coupled discrete-time networks with time delays Cogn. Neurodyn. 4 225 231 10.1007/s11571-010-9118-9
    • (2010) Cogn. Neurodyn. , vol.4 , pp. 225-231
    • Sun, W.1    Wang, R.2    Wang, W.3    Cao, J.4
  • 16
    • 77955775398 scopus 로고    scopus 로고
    • Projective synchronization with different scale factors in a driven-response complex network and its application in image encryption
    • 1214.93014 10.1016/j.nonrwa.2009.11.003
    • J. Chen L. Jiao J. Wu X. Wang 2010 Projective synchronization with different scale factors in a driven-response complex network and its application in image encryption Nonlinear Anal. Real World Appl. 11 3045 3058 1214.93014 10.1016/j.nonrwa.2009.11.003
    • (2010) Nonlinear Anal. Real World Appl. , vol.11 , pp. 3045-3058
    • Chen, J.1    Jiao, L.2    Wu, J.3    Wang, X.4
  • 17
    • 78651360989 scopus 로고    scopus 로고
    • Synchronization of complex community networks with nonidentical nodes and adaptive coupling strength
    • 10.1016/j.physleta.2010.12.057
    • C. Hu J. Yu H. Jiang Z. Teng 2011 Synchronization of complex community networks with nonidentical nodes and adaptive coupling strength Phys. Lett. A 375 873 879 10.1016/j.physleta.2010.12.057
    • (2011) Phys. Lett. A , vol.375 , pp. 873-879
    • Hu, C.1    Yu, J.2    Jiang, H.3    Teng, Z.4
  • 20
    • 0021440218 scopus 로고
    • Applications of fractional calculus to the theory of viscoelasticity
    • R.C. Koeller 1984 Application of fractional calculus to the theory of viscoelasticity J. Appl. Mech. 51 299 307 747787 0544.73052 10.1115/1.3167616 (Pubitemid 14583151)
    • (1984) Journal of Applied Mechanics, Transactions ASME , vol.51 , Issue.2 , pp. 299-307
    • Koeller, R.C.1
  • 21
    • 0010178279 scopus 로고
    • An analog simulation of noninteger order transfer functions for analysis of electrode process
    • 10.1016/S0022-0728(71)80115-8
    • M. Ichise Y. Nagayanagi T. Kojima 1971 An analog simulation of noninteger order transfer functions for analysis of electrode process J. Electroanal. Chem. 33 253 265 10.1016/S0022-0728(71)80115-8
    • (1971) J. Electroanal. Chem. , vol.33 , pp. 253-265
    • Ichise, M.1    Nagayanagi, Y.2    Kojima, T.3
  • 23
    • 3342927052 scopus 로고    scopus 로고
    • Chaos and hyperchaos in fractional order Rössler equations
    • 2092674 10.1016/j.physa.2004.04.113
    • C.G. Li G.R. Chen 2004 Chaos and hyperchaos in fractional order Rössler equations Physica A 341 55 61 2092674 10.1016/j.physa.2004.04.113
    • (2004) Physica A , vol.341 , pp. 55-61
    • Li, C.G.1    Chen, G.R.2
  • 24
    • 70449574688 scopus 로고    scopus 로고
    • Chaos in the fractional-order Lorenz system
    • 2537927 1169.65115 10.1080/00207160701864426
    • X.J. Wu S.L. Shen 2009 Chaos in the fractional-order Lorenz system Int. J. Comput. Math. 86 1274 1282 2537927 1169.65115 10.1080/00207160701864426
    • (2009) Int. J. Comput. Math. , vol.86 , pp. 1274-1282
    • Wu, X.J.1    Shen, S.L.2
  • 25
    • 41849090145 scopus 로고    scopus 로고
    • Chaos in the fractional order unified system and its synchronization
    • 1166.34030 10.1016/j.jfranklin.2007.11.003
    • X. Wu J. Li G. Chen 2008 Chaos in the fractional order unified system and its synchronization J. Franklin Inst. 345 392 401 1166.34030 10.1016/j.jfranklin.2007.11.003
    • (2008) J. Franklin Inst. , vol.345 , pp. 392-401
    • Wu, X.1    Li, J.2    Chen, G.3
  • 26
    • 63449084428 scopus 로고    scopus 로고
    • Ping control of fractional-order weighted complex networks
    • 2513760 10.1063/1.3068350
    • Y. Tang Z. Wang J. Fang 2009 Ping control of fractional-order weighted complex networks Chaos 19 013112 2513760 10.1063/1.3068350
    • (2009) Chaos , vol.19 , pp. 013112
    • Tang, Y.1    Wang, Z.2    Fang, J.3
  • 27
    • 69049091852 scopus 로고    scopus 로고
    • Synchronization of N-coupled fractional-order chaotic systems with ring connection
    • 2572572 1221.34103 10.1016/j.cnsns.2009.03.024
    • Y. Tang J. Fang 2010 Synchronization of N-coupled fractional-order chaotic systems with ring connection Commun. Nonlinear Sci. Numer. Simul. 15 401 412 2572572 1221.34103 10.1016/j.cnsns.2009.03.024
    • (2010) Commun. Nonlinear Sci. Numer. Simul. , vol.15 , pp. 401-412
    • Tang, Y.1    Fang, J.2
  • 28
    • 77649232335 scopus 로고    scopus 로고
    • Network synchronization in a population of star-coupled fractional nonlinear oscillators
    • 1236.05188 10.1016/j.physleta.2010.01.042
    • J. Wang Y. Zhang 2010 Network synchronization in a population of star-coupled fractional nonlinear oscillators Phys. Lett. A 374 1464 1468 1236.05188 10.1016/j.physleta.2010.01.042
    • (2010) Phys. Lett. A , vol.374 , pp. 1464-1468
    • Wang, J.1    Zhang, Y.2
  • 29
    • 0038718854 scopus 로고    scopus 로고
    • The structure and function of complex networks
    • 2010377 1029.68010 10.1137/S003614450342480
    • M.E.J. Newman 2003 The structure and function of complex networks SIAM Rev. 45 167 256 2010377 1029.68010 10.1137/S003614450342480
    • (2003) SIAM Rev. , vol.45 , pp. 167-256
    • Newman, M.E.J.1
  • 30
    • 84977255207 scopus 로고
    • Linear models of dissipation whose Q is almost frequency independent II
    • 10.1111/j.1365-246X.1967.tb02303.x
    • M. Caputo 1967 Linear models of dissipation whose Q is almost frequency independent II Geophys. J. R. Astron. Soc. 13 529 539 10.1111/j.1365-246X.1967. tb02303.x
    • (1967) Geophys. J. R. Astron. Soc. , vol.13 , pp. 529-539
    • Caputo, M.1
  • 31
    • 0036650479 scopus 로고    scopus 로고
    • A predictor-corrector approach for the numerical solution of fractional differential equations
    • DOI 10.1023/A:1016592219341, Fractional Order Calculus and Its Applications
    • K. Diethelm N.J. Ford A.D. Freed 2002 A predictor-corrector approach for the numerical solution of fractional differential equations Nonlinear Dyn. 29 3 22 1926466 1009.65049 10.1023/A:1016592219341 (Pubitemid 34945390)
    • (2002) Nonlinear Dynamics , vol.29 , Issue.1-4 , pp. 3-22
    • Diethelm, K.1    Ford, N.J.2    Freed, A.D.3
  • 32
    • 0037081673 scopus 로고    scopus 로고
    • Analysis of fractional differential equations
    • 1876137 1014.34003 10.1006/jmaa.2000.7194
    • K. Diethelm N.J. Ford 2002 Analysis of fractional differential equations J. Math. Anal. Appl. 265 229 248 1876137 1014.34003 10.1006/jmaa.2000.7194
    • (2002) J. Math. Anal. Appl. , vol.265 , pp. 229-248
    • Diethelm, K.1    Ford, N.J.2
  • 33
    • 0004178386 scopus 로고    scopus 로고
    • Prentice-Hall Englewood Cliffs 1003.34002
    • Khalil, H.K.: Nonlinear Systems. Prentice-Hall, Englewood Cliffs (2002)
    • (2002) Nonlinear Systems
    • Khalil, H.K.1
  • 34
    • 34848901352 scopus 로고    scopus 로고
    • Dynamic analysis of the fractional-order Liu system and its synchronization
    • 10.1063/1.2755420
    • X. Wang M. Wang 2007 Dynamic analysis of the fractional-order Liu system and its synchronization Chaos 17 033106 10.1063/1.2755420
    • (2007) Chaos , vol.17 , pp. 033106
    • Wang, X.1    Wang, M.2
  • 35
    • 33646366905 scopus 로고    scopus 로고
    • Chaotic dynamics of the fractional-order Lü system and its synchronization
    • DOI 10.1016/j.physleta.2006.01.068, PII S0375960106001551
    • J. Lu 2006 Chaotic dynamics of the fractional-order Lü system and its synchronization Phys. Lett. A 354 305 311 10.1016/j.physleta.2006.01.068 (Pubitemid 43668647)
    • (2006) Physics Letters, Section A: General, Atomic and Solid State Physics , vol.354 , Issue.4 , pp. 305-311
    • Lu, J.G.1
  • 36
    • 1842832060 scopus 로고    scopus 로고
    • Chaos in Chen's system with a fractional order
    • 2060878 1060.37026 10.1016/j.chaos.2004.02.013
    • C.P. Li G.J. Peng 2004 Chaos in Chen's system with a fractional order Chaos Solitons Fractals 22 443 450 2060878 1060.37026 10.1016/j.chaos.2004.02. 013
    • (2004) Chaos Solitons Fractals , vol.22 , pp. 443-450
    • Li, C.P.1    Peng, G.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.