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Volumn 143, Issue 1-4, 2000, Pages 74-108

Heteroclinic cycles in rings of coupled cells

Author keywords

Coupled cell systems; Equivariant bifurcation theory* Dn symmetry; Heteroclinic cycles; Spatio temporal patterns

Indexed keywords


EID: 0040778387     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(00)00097-X     Document Type: Article
Times cited : (51)

References (24)
  • 1
    • 45549113061 scopus 로고
    • Heteroclinic cycles and modulated travelling waves in systems with O(2) -symmetry
    • Armbruster D., Guckenheimer J., Holmes P. Heteroclinic cycles and modulated travelling waves in systems with. O(2) -symmetry Physica D. 29:1988;257-282.
    • (1988) Physica D , vol.29 , pp. 257-282
    • Armbruster, D.1    Guckenheimer, J.2    Holmes, P.3
  • 4
    • 51249169446 scopus 로고
    • Coupled nonlinear oscillators and the symmetries of animal gaits
    • Collins J.J., Stewart I. Coupled nonlinear oscillators and the symmetries of animal gaits. J. Nonlinear Sci. 3:1993;349-392.
    • (1993) J. Nonlinear Sci. , vol.3 , pp. 349-392
    • Collins, J.J.1    Stewart, I.2
  • 5
    • 0041614065 scopus 로고
    • Hexapodal gaits and coupled nonlinear oscillator models
    • Collins J.J., Stewart I. Hexapodal gaits and coupled nonlinear oscillator models. Biol. Cybernet. 68:1993;287-298.
    • (1993) Biol. Cybernet. , vol.68 , pp. 287-298
    • Collins, J.J.1    Stewart, I.2
  • 6
    • 0028166567 scopus 로고
    • A group-theoretic approach to rings of coupled biological oscillators
    • Collins J.J., Stewart I. A group-theoretic approach to rings of coupled biological oscillators. Biol. Cybernet. 71:1994;95-103.
    • (1994) Biol. Cybernet. , vol.71 , pp. 95-103
    • Collins, J.J.1    Stewart, I.2
  • 7
    • 22244462113 scopus 로고    scopus 로고
    • Coupled cells with internal symmetry. I. Wreath products
    • Dionne B., Golubitsky M., Stewart I. Coupled cells with internal symmetry. I. Wreath products. Nonlinearity. 9:1996;559-574.
    • (1996) Nonlinearity , vol.9 , pp. 559-574
    • Dionne, B.1    Golubitsky, M.2    Stewart, I.3
  • 8
    • 22244486670 scopus 로고    scopus 로고
    • Coupled cells with internal symmetry. II. Direct products
    • Dionne B., Golubitsky M., Stewart I. Coupled cells with internal symmetry. II. Direct products. Nonlinearity. 9:1996;575-599.
    • (1996) Nonlinearity , vol.9 , pp. 575-599
    • Dionne, B.1    Golubitsky, M.2    Stewart, I.3
  • 9
    • 84967792016 scopus 로고
    • Equivariant dynamical systems
    • Field M.J. Equivariant dynamical systems. Trans. Am. Math. Soc. 259(1):1980;185-205.
    • (1980) Trans. Am. Math. Soc. , vol.259 , Issue.1 , pp. 185-205
    • Field, M.J.1
  • 15
    • 0001161091 scopus 로고
    • Phase locking of Josephson junction series arrays
    • Hadley P., Beasley M.R., Wiesenfeld K. Phase locking of Josephson junction series arrays. Phys. Rev. B. 38:1988;8712-8719.
    • (1988) Phys. Rev. B , vol.38 , pp. 8712-8719
    • Hadley, P.1    Beasley, M.R.2    Wiesenfeld, K.3
  • 16
    • 0006204472 scopus 로고
    • Coupled oscillators and the design of central pattern generators
    • Kopell N., Ermentrout G.B. Coupled oscillators and the design of central pattern generators. Math. Biosci. 89:1988;14-23.
    • (1988) Math. Biosci. , vol.89 , pp. 14-23
    • Kopell, N.1    Ermentrout, G.B.2
  • 17
    • 0025477416 scopus 로고
    • Phase transitions and other phenomena in chains of oscillators
    • Kopell N., Ermentrout G.B. Phase transitions and other phenomena in chains of oscillators. SIAM J. Appl. Math. 50:1990;1014-1052.
    • (1990) SIAM J. Appl. Math. , vol.50 , pp. 1014-1052
    • Kopell, N.1    Ermentrout, G.B.2
  • 18
    • 0001225644 scopus 로고    scopus 로고
    • Robust heteroclinic cycles
    • Krupa M. Robust heteroclinic cycles. J. Nonlinear Sci. 7(2):1997;129-176.
    • (1997) J. Nonlinear Sci. , vol.7 , Issue.2 , pp. 129-176
    • Krupa, M.1
  • 19
    • 84974489205 scopus 로고
    • Asymptotic stability of heteroclinic cycles in systems with symmetry
    • Krupa M., Melbourne I. Asymptotic stability of heteroclinic cycles in systems with symmetry. Ergodic Theory Dyn. Syst. 15:1995;121-147.
    • (1995) Ergodic Theory Dyn. Syst. , vol.15 , pp. 121-147
    • Krupa, M.1    Melbourne, I.2
  • 21
    • 0002077676 scopus 로고
    • Intermittency as a codimension three phenomenon
    • Melbourne I. Intermittency as a codimension three phenomenon. Dyn. Differential Equations. 1:1989;347-367.
    • (1989) Dyn. Differential Equations , vol.1 , pp. 347-367
    • Melbourne, I.1
  • 22
    • 84971194609 scopus 로고
    • Heteroclinic cycles involving periodic solutions in mode interactions with O(2) -symmetry
    • Melbourne I., Chossat P., Golubitsky M. Heteroclinic cycles involving periodic solutions in mode interactions with. O(2) -symmetry Proc. Roy. Soc. Edinburgh A. 113:1989;315-345.
    • (1989) Proc. Roy. Soc. Edinburgh a , vol.113 , pp. 315-345
    • Melbourne, I.1    Chossat, P.2    Golubitsky, M.3
  • 23
    • 0000412447 scopus 로고
    • Systems of coupled oscillators as models of central pattern generators
    • in: A.H. Cohen, S. Rossignol, S. Grillner (Eds.), Wiley, New York
    • R.H. Rand, A.H. Cohen, P.J. Holmes, Systems of coupled oscillators as models of central pattern generators, in: A.H. Cohen, S. Rossignol, S. Grillner (Eds.), Neural Control of Rhythmic Movements in Vertebrates, Wiley, New York, 1988, pp. 333-367.
    • (1988) Neural Control of Rhythmic Movements in Vertebrates , pp. 333-367
    • Rand, R.H.1    Cohen, A.H.2    Holmes, P.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.