메뉴 건너뛰기




Volumn 23, Issue 1, 2008, Pages 17-41

Periodic dynamics of coupled cell networks II: Cyclic symmetry

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINED OPTIMIZATION; DYNAMICAL SYSTEMS; PERTURBATION TECHNIQUES; PHASE SHIFT; THEOREM PROVING;

EID: 41549140067     PISSN: 14689367     EISSN: 14689375     Source Type: Journal    
DOI: 10.1080/14689360701631126     Document Type: Article
Times cited : (22)

References (33)
  • 1
    • 23444460700 scopus 로고    scopus 로고
    • Flow invariant subspaces for lattice dynamical systems
    • Antoneli, F., Dias, A.P.S., Golubitsky, M. and Wang, Y., 2005, Flow invariant subspaces for lattice dynamical systems. Nonlinearity, 18, 2193-2209.
    • (2005) Nonlinearity , vol.18 , pp. 2193-2209
    • Antoneli, F.1    Dias, A.P.S.2    Golubitsky, M.3    Wang, Y.4
  • 2
    • 33744771704 scopus 로고    scopus 로고
    • Symmetry and synchrony in coupled cell networks 1: Fixed-point spaces
    • Antoneli, F. and Stewart, I., 2006, Symmetry and synchrony in coupled cell networks 1: fixed-point spaces. International Journal of Bifurcation and Chaos, 16, 559-577.
    • (2006) International Journal of Bifurcation and Chaos , vol.16 , pp. 559-577
    • Antoneli, F.1    Stewart, I.2
  • 3
    • 4043122685 scopus 로고    scopus 로고
    • A unifying framework for synchronization of coupled dynamical systems
    • Boccaletti, S., Pecora, L.M. and Pelaez, A., 2001, A unifying framework for synchronization of coupled dynamical systems. Physical Review E, 63, 066219.
    • (2001) Physical Review E , vol.63 , pp. 066219
    • Boccaletti, S.1    Pecora, L.M.2    Pelaez, A.3
  • 4
    • 0043275453 scopus 로고
    • Über eine Verallgemeinerung des Gruppenbegriffes.
    • Brandt, H., 1927, Über eine Verallgemeinerung des Gruppenbegriffes. Mathematische Annalen, 96, 360-366.
    • (1927) Mathematische Annalen , vol.96 , pp. 360-366
    • Brandt, H.1
  • 6
    • 0035321478 scopus 로고    scopus 로고
    • Models of central pattern generators for quadruped locomotion: I. primary gaits
    • Buono, P.L. and Golubitsky, M., 2001, Models of central pattern generators for quadruped locomotion: I. primary gaits. Journal of Mathematical Biology, 42(4), 291-326.
    • (2001) Journal of Mathematical Biology , vol.42 , Issue.4 , pp. 291-326
    • Buono, P.L.1    Golubitsky, M.2
  • 8
    • 3042598152 scopus 로고    scopus 로고
    • Symmetry groupoids and admissible vector fields for coupled cell networks
    • Dias, A.P.S. and Stewart, I., 2004, Symmetry groupoids and admissible vector fields for coupled cell networks. Journal of the London Mathematical Society, 69, 707-736.
    • (2004) Journal of the London Mathematical Society , vol.69 , pp. 707-736
    • Dias, A.P.S.1    Stewart, I.2
  • 13
    • 0033554720 scopus 로고    scopus 로고
    • Symmetry in locomotor central pattern generators and animal gaits
    • Golubitsky, M., Stewart, I., Buono, P.-L. and Collins, J.J., 1999, Symmetry in locomotor central pattern generators and animal gaits. Nature, 401, 693-695.
    • (1999) Nature , vol.401 , pp. 693-695
    • Golubitsky, M.1    Stewart, I.2    Buono, P.-L.3    Collins, J.J.4
  • 15
    • 11144319940 scopus 로고    scopus 로고
    • Patterns of synchrony in coupled cell networks with multiple arrows
    • DOI: 10.1137/040612634
    • Golubitsky, M., Stewart, I.N. and Török, A., 2005, Patterns of synchrony in coupled cell networks with multiple arrows, SIAM Journal of Applied Dynamical System, 4, 78-100. DOI: 10.1137/040612634.
    • (2005) SIAM Journal of Applied Dynamical System , vol.4 , pp. 78-100
    • Golubitsky, M.1    Stewart, I.N.2    Török, A.3
  • 18
    • 33751008033 scopus 로고    scopus 로고
    • Network architecture and spatio-temporally symmetric dynamics
    • Josić, K. and Török, A., 2006, Network architecture and spatio-temporally symmetric dynamics, Physica D: Nonlinear Phenomena, 224, 52-68.
    • (2006) Physica D: Nonlinear Phenomena , vol.224 , pp. 52-68
    • Josić, K.1    Török, A.2
  • 21
    • 40749096575 scopus 로고
    • Coupled oscillators and the design of central pattern generators
    • Kopell, N. and Ermentrout, G.B., 1988, Coupled oscillators and the design of central pattern generators. Mathematical Biosciences, 90, 87-109.
    • (1988) Mathematical Biosciences , vol.90 , pp. 87-109
    • Kopell, N.1    Ermentrout, G.B.2
  • 25
    • 0032830151 scopus 로고    scopus 로고
    • Neuronal synchrony: A versatile code for the definition of relations
    • Singer, W., 1999, Neuronal synchrony: a versatile code for the definition of relations. Neuron, 24, 49-65.
    • (1999) Neuron , vol.24 , pp. 49-65
    • Singer, W.1
  • 27
    • 36949025701 scopus 로고    scopus 로고
    • Periodic dynamics of coupled, cell networks I: Rigid patterns of synchrony and phase relations
    • Stewart, I.N. and Parker, M., Periodic dynamics of coupled, cell networks I: rigid patterns of synchrony and phase relations, Dynamical Systems, 22, 389-450.
    • Dynamical Systems , vol.22 , pp. 389-450
    • Stewart, I.N.1    Parker, M.2
  • 28
    • 41549101210 scopus 로고    scopus 로고
    • homogeneous networks
    • Periodic dynamics of coupled cell networks III:, in preparation
    • Stewart, LN. and Parker, M., Periodic dynamics of coupled cell networks III: homogeneous networks, in preparation.
    • Stewart, L.N.1    Parker, M.2
  • 30
    • 0036336705 scopus 로고    scopus 로고
    • Complex networks: Topology, dynamics and synchronization
    • Wang, X.F., 2002, Complex networks: topology, dynamics and synchronization. International Journal of Bifuration and Chaos, 12, 885-916.
    • (2002) International Journal of Bifuration and Chaos , vol.12 , pp. 885-916
    • Wang, X.F.1
  • 31
    • 14844310237 scopus 로고    scopus 로고
    • Two-color patterns of synchrony in lattice dynamical systems
    • Wang, Y. and Golubitsky, M., 2005, Two-color patterns of synchrony in lattice dynamical systems. Nonlinearity, 18, 631-657.
    • (2005) Nonlinearity , vol.18 , pp. 631-657
    • Wang, Y.1    Golubitsky, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.