메뉴 건너뛰기




Volumn 2, Issue 4, 2003, Pages 609-646

Symmetry groupoids and patterns of synchrony in coupled cell networks

Author keywords

Coupled systems; Groupoids; Symmetry; Synchrony

Indexed keywords


EID: 3042534417     PISSN: 15360040     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1111111103419896     Document Type: Article
Times cited : (313)

References (16)
  • 1
    • 0043275453 scopus 로고
    • Über eine Verallgemeinerung des Gruppenbegriffes
    • H. BRANDT, Über eine Verallgemeinerung des Gruppenbegriffes, Math. Ann., 96 (1927), pp. 360-366.
    • (1927) Math. Ann. , vol.96 , pp. 360-366
    • Brandt, H.1
  • 2
    • 4043122685 scopus 로고    scopus 로고
    • Unifying framework for synchronization of coupled dynamical systems
    • S. BOCCALETTI, L. M. PECORA, AND A. PELAEZ, Unifying framework for synchronization of coupled dynamical systems, Phys. Rev. E (3), 63 (2001), 066219.
    • (2001) Phys. Rev. E (3) , vol.63 , pp. 066219
    • Boccaletti, S.1    Pecora, L.M.2    Pelaez, A.3
  • 3
    • 0002354714 scopus 로고
    • From groups to groupoids: A brief survey
    • R. BROWN, From groups to groupoids: A brief survey, Bull. London Math. Soc., 19 (1987), pp. 113-134.
    • (1987) Bull. London Math. Soc. , vol.19 , pp. 113-134
    • Brown, R.1
  • 4
    • 0035321478 scopus 로고    scopus 로고
    • Models of central pattern generators for quadruped locomotion I. Primary gaits
    • P. L. BUONO AND M. GOLUBITSKY, Models of central pattern generators for quadruped locomotion I. Primary gaits, J. Math. Biol., 42 (2001), pp. 291-326.
    • (2001) J. Math. Biol. , vol.42 , pp. 291-326
    • Buono, P.L.1    Golubitsky, M.2
  • 7
    • 0242440718 scopus 로고    scopus 로고
    • The Symmetry Perspective: From Equilibrium to Chaos in Phase Space and Physical Space
    • Birkhäuser Verlag, Basel
    • M. GOLUBITSKY AND I. STEWART, The Symmetry Perspective: From Equilibrium to Chaos in Phase Space and Physical Space, Progr. Math. 200, Birkhäuser Verlag, Basel, 2002.
    • (2002) Progr. Math. , vol.200
    • Golubitsky, M.1    Stewart, I.2
  • 9
    • 0013551127 scopus 로고
    • Singularities and Groups in Bifurcation Theory: Vol. 2
    • Springer-Verlag, New York
    • M. GOLUBITSKY, I. N. STEWART, AND D. G. SCHAEFFER, Singularities and Groups in Bifurcation Theory: Vol. 2., Appl. Math. Sci. 69, Springer-Verlag, New York, 1988.
    • (1988) Appl. Math. Sci. , vol.69
    • Golubitsky, M.1    Stewart, I.N.2    Schaeffer, D.G.3
  • 10
  • 12
    • 0343689904 scopus 로고
    • Synchronization in chaotic systems
    • L. M. PECORA AND T. L. CARROLL, Synchronization in chaotic systems, Phys. Rev. Lett., 64 (1990), pp. 821-824.
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 821-824
    • Pecora, L.M.1    Carroll, T.L.2
  • 13
    • 0003354205 scopus 로고
    • Graph Theory
    • G.-C. Rota, ed., Addison-Wesley, Reading, MA
    • W. T. TUTTE, Graph Theory, Encyclopedia Math. Appl. 21, G.-C. Rota, ed., Addison-Wesley, Reading, MA, 1984.
    • (1984) Encyclopedia Math. Appl. , vol.21
    • Tutte, W.T.1
  • 14
    • 0036336705 scopus 로고    scopus 로고
    • Complex networks: Topology, dynamics and synchronization
    • X. F. WANG, Complex networks: Topology, dynamics and synchronization, Internat. J. Bifur. Chaos Appl. Sci. Engrg., 12 (2002) pp. 885-916.
    • (2002) Internat. J. Bifur. Chaos Appl. Sci. Engrg. , vol.12 , pp. 885-916
    • Wang, X.F.1
  • 15
    • 0000137650 scopus 로고    scopus 로고
    • Groupoids: Unifying internal and external symmetry
    • A. WEINSTEIN, Groupoids: Unifying internal and external symmetry, Notices Amer. Math. Soc., 43 (1996), pp.744-752.
    • (1996) Notices Amer. Math. Soc. , vol.43 , pp. 744-752
    • Weinstein, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.