메뉴 건너뛰기




Volumn 56, Issue 1-2, 2009, Pages 127-144

Effects of small world connection on the dynamics of a delayed ring network

Author keywords

Bifurcation; Chaos; Global stability; Ring network; Small world

Indexed keywords

ASYMPTOTIC STABILITY; CONTROL THEORY; DYNAMICS; STABILITY CRITERIA; SYSTEM STABILITY;

EID: 61449163926     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-008-9384-9     Document Type: Article
Times cited : (33)

References (31)
  • 1
    • 0001063412 scopus 로고    scopus 로고
    • Characterization and control of small-world networks
    • S.A. Pandit R.E. Amritkar 1999 Characterization and control of small-world networks Phys. Rev. E 60 1119 1122
    • (1999) Phys. Rev. e , vol.60 , pp. 1119-1122
    • Pandit, S.A.1    Amritkar, R.E.2
  • 3
    • 0034599275 scopus 로고    scopus 로고
    • Mean-field solution of the small-world network model
    • M.E.J. Newman C. Morre D.J. Watts 2000 Mean-field solution of the small-world network model Phys. Rev. Lett. 84 3201 3204
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 3201-3204
    • Newman, M.E.J.1    Morre, C.2    Watts, D.J.3
  • 4
    • 0036340313 scopus 로고    scopus 로고
    • Synchronization in small-world dynamical networks
    • X.F. Wang G. Chen 2002 Synchronization in small-world dynamical networks Int. J. Bifur. Chaos 12 187 192
    • (2002) Int. J. Bifur. Chaos , vol.12 , pp. 187-192
    • Wang, X.F.1    Chen, G.2
  • 5
    • 0000193738 scopus 로고    scopus 로고
    • Exact results and scaling properties of small-world networks
    • R.V. Kulkarni E. Almaas D. Stroud 2000 Exact results and scaling properties of small-world networks Phys. Rev. E 61 4268 4271
    • (2000) Phys. Rev. e , vol.61 , pp. 4268-4271
    • Kulkarni, R.V.1    Almaas, E.2    Stroud, D.3
  • 6
    • 3042776965 scopus 로고    scopus 로고
    • Blinking model and synchronization in small-world networks with a time-varying coupling
    • I.V. Belykh V.N. Belykh M. Hasler 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
  • 7
    • 37649029693 scopus 로고    scopus 로고
    • Propagation in a two-dimensional weighted local small-world network
    • N. Zekri B. Porterie J.P. Clerc J.C. Loraud 2005 Propagation in a two-dimensional weighted local small-world network Phys. Rev. E 71 046121 046125
    • (2005) Phys. Rev. e , vol.71 , pp. 046121-046125
    • Zekri, N.1    Porterie, B.2    Clerc, J.P.3    Loraud, J.C.4
  • 8
    • 33847682304 scopus 로고    scopus 로고
    • Dynamics of a two dimensional delayed small-world network under delayed feedback control
    • X. Xu H.Y. Hu H.L. Wang 2006 Dynamics of a two dimensional delayed small-world network under delayed feedback control Int. J. Bifur. Chaos 16 3257 3273
    • (2006) Int. J. Bifur. Chaos , vol.16 , pp. 3257-3273
    • Xu, X.1    Hu, H.Y.2    Wang, H.L.3
  • 9
    • 0035306020 scopus 로고    scopus 로고
    • Chaos in small-world networks
    • X.S. Yang 2001 Chaos in small-world networks Phys. Rev. E 63 046206
    • (2001) Phys. Rev. e , vol.63 , pp. 046206
    • Yang, X.S.1
  • 10
    • 0036462768 scopus 로고    scopus 로고
    • Fractals in small-world networks with time-delay
    • X.H. Yang 2002 Fractals in small-world networks with time-delay Chaos Solitons Fractals 13 215 219
    • (2002) Chaos Solitons Fractals , vol.13 , pp. 215-219
    • Yang, X.H.1
  • 11
    • 0142259447 scopus 로고    scopus 로고
    • Local stability and Hopf bifurcation in small-world delayed networks
    • C. Li G. Chen 2004 Local stability and Hopf bifurcation in small-world delayed networks Chaos Solitons Fractals 20 353 361
    • (2004) Chaos Solitons Fractals , vol.20 , pp. 353-361
    • Li, C.1    Chen, G.2
  • 12
    • 0032482432 scopus 로고    scopus 로고
    • Collective dynamics of 'small-world' networks
    • D.J. Watts S.H. Strogatz 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
  • 13
    • 35348957264 scopus 로고    scopus 로고
    • Efficient behavior of small-world networks
    • V. Latora M. Marchiori 2001 Efficient behavior of small-world networks Phys. Rev. Lett. 87 198701
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 198701
    • Latora, V.1    Marchiori, M.2
  • 14
    • 0034299710 scopus 로고    scopus 로고
    • Harmony in the small-world
    • M. Marchiori V. Latora 2000 Harmony in the small-world Physica A 285 539
    • (2000) Physica A , vol.285 , pp. 539
    • Marchiori, M.1    Latora, V.2
  • 16
    • 0032558840 scopus 로고    scopus 로고
    • Stability is woven by complex webs
    • G.A. Plois 1998 Stability is woven by complex webs Nature 395 744 745
    • (1998) Nature , vol.395 , pp. 744-745
    • Plois, G.A.1
  • 17
    • 0032558786 scopus 로고    scopus 로고
    • Weak tropic interactions and the balance of nature
    • K. McCann A. Hastings G.R. Huxel 1998 Weak tropic interactions and the balance of nature Nature 395 794 798
    • (1998) Nature , vol.395 , pp. 794-798
    • Hastings, A.1    Huxel, G.R.2
  • 18
    • 0033602470 scopus 로고    scopus 로고
    • Strong effects of weak interactions in ecological communities
    • E.L. Berlow 1999 Strong effects of weak interactions in ecological communities Nature 398 330 334
    • (1999) Nature , vol.398 , pp. 330-334
    • Berlow, E.L.1
  • 19
    • 0034322846 scopus 로고    scopus 로고
    • Connectivity and complexity: The relationship between neuroanatomy and brain dynamics
    • O. Sporns G. Tononi G.M. Edelman 2002 Connectivity and complexity: the relationship between neuroanatomy and brain dynamics Neural Netw. 13 909
    • (2002) Neural Netw. , vol.13 , pp. 909
    • Sporns, O.1    Tononi, G.2    Edelman, G.M.3
  • 20
    • 18244392161 scopus 로고    scopus 로고
    • Economic small-world behavior in weighted networks
    • V. Latora M. Marchiori 2003 Economic small-world behavior in weighted networks Eur. Phys. J. B 32 249 263
    • (2003) Eur. Phys. J. B , vol.32 , pp. 249-263
    • Latora, V.1    Marchiori, M.2
  • 21
    • 0002848816 scopus 로고    scopus 로고
    • Stability and bifurcation of a simple neural network with multiple time delays
    • S.A. Campbell 1999 Stability and bifurcation of a simple neural network with multiple time delays Fields Inst. Commun. 21 65 78
    • (1999) Fields Inst. Commun. , vol.21 , pp. 65-78
    • Campbell, S.A.1
  • 22
    • 26944444656 scopus 로고    scopus 로고
    • Equivariant Hopf bifurcation in a ring of identical cells with delayed coupling
    • S.A. Campbell Y. Yuan S.D. Bungay 2005 Equivariant Hopf bifurcation in a ring of identical cells with delayed coupling Nonlinearity 18 2827 2846
    • (2005) Nonlinearity , vol.18 , pp. 2827-2846
    • Campbell, S.A.1    Yuan, Y.2    Bungay, S.D.3
  • 23
    • 0041511877 scopus 로고    scopus 로고
    • Hopf bifurcation periodic orbits in a ring of neurons with delays
    • S. Guo L. Huang 2003 Hopf bifurcation periodic orbits in a ring of neurons with delays Physica D 183 19 44
    • (2003) Physica D , vol.183 , pp. 19-44
    • Guo, S.1    Huang, L.2
  • 24
    • 38049039264 scopus 로고    scopus 로고
    • Complicated dynamics of a ring neural network with time delays
    • X. Xu 2008 Complicated dynamics of a ring neural network with time delays J. Phys. A: Math. Theory 41 035102
    • (2008) J. Phys. A: Math. Theory , vol.41 , pp. 035102
    • Xu, X.1
  • 25
    • 0028542772 scopus 로고
    • Delay-independent stability in bidirectional associative memory networks
    • K. Gopalsamy X.Z. He 1994 Delay-independent stability in bidirectional associative memory networks IEEE Trans. Neural Netw. 5 998 1002
    • (1994) IEEE Trans. Neural Netw. , vol.5 , pp. 998-1002
    • Gopalsamy, K.1    He, X.Z.2
  • 27
    • 33646864830 scopus 로고    scopus 로고
    • Symmetric functional differential equations and neural networks with memory
    • J. Wu 1998 Symmetric functional differential equations and neural networks with memory Trans. Am. Math. Soc. 350 4799 4838
    • (1998) Trans. Am. Math. Soc. , vol.350 , pp. 4799-4838
    • Wu, J.1
  • 31
    • 37649032583 scopus 로고    scopus 로고
    • Delayed feedback control of chaos: Bifurcation analysis
    • 016222-1
    • A.G. Balanov N.B. Janson E. Schöll 2005 Delayed feedback control of chaos: bifurcation analysis Phys. Rev. E 71 9 016222-1
    • (2005) Phys. Rev. e , vol.71 , pp. 9
    • Balanov, A.G.1    Janson, N.B.2    Schöll, E.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.