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Volumn 9, Issue 7, 2003, Pages 671-686

Heteroclinic cycles in coupled systems of difference equations

Author keywords

Cycling chaos; Difference equations; Heteroclinic cycles; Symmetry

Indexed keywords


EID: 0037505923     PISSN: 10236198     EISSN: None     Source Type: Journal    
DOI: 10.1080/1023619021000042207     Document Type: Conference Paper
Times cited : (5)

References (14)
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    • 45549113061 scopus 로고
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    • Armbruster, D.1    Guckenheimer, J.2    Holmes, P.3
  • 2
    • 0040778387 scopus 로고    scopus 로고
    • Heteroclinic cycles in rings of coupled cells
    • P. L. Buono, M. Golubitsky and A. Palacios, Heteroclinic cycles in rings of coupled cells, Physica D, 143 (2000), 74-108.
    • (2000) Physica D , vol.143 , pp. 74-108
    • Buono, P.L.1    Golubitsky, M.2    Palacios, A.3
  • 4
    • 22244462113 scopus 로고    scopus 로고
    • Coupled cells with internal symmetry. Part I: Wreath products
    • B. Dionne, M. Golubitsky and I. Stewart, Coupled cells with internal symmetry. Part I: wreath products, Nonlinearity, 9 (1996), 559-574.
    • (1996) Nonlinearity , vol.9 , pp. 559-574
    • Dionne, B.1    Golubitsky, M.2    Stewart, I.3
  • 5
    • 84967792016 scopus 로고
    • Equivariant dynamical systems
    • M. J. Field, 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
  • 8
    • 0001225644 scopus 로고    scopus 로고
    • Robust heteroclinic cycles
    • M. Krupa, Robust heteroclinic cycles, J. Nonlin. Sci., 7(2) (1997), 129-176.
    • (1997) J. Nonlin. Sci. , vol.7 , Issue.2 , pp. 129-176
    • Krupa, M.1
  • 9
    • 84974489205 scopus 로고
    • Asymptotic stability of heteroclinic cycles in systems with symmetry
    • M. Krupa and I. Melbourne, Asymptotic stability of heteroclinic cycles in systems with symmetry, Ergod. Th. & Dynam. Sys., 15 (1995), 121-147.
    • (1995) Ergod. Th. & Dynam. Sys. , vol.15 , pp. 121-147
    • Krupa, M.1    Melbourne, I.2
  • 11
    • 84971194609 scopus 로고
    • Heteroclinic cycles involving periodic solutions in mode interactions with O(2) symmetry
    • I. Melbourne, P. Chossat and M. Golubitsky, Heteroclinic cycles involving periodic solutions in mode interactions with O(2) symmetry, Proc. R. Soc. Edinburgh, 113A (1989), 315-345.
    • (1989) Proc. R. Soc. Edinburgh , vol.113 A , pp. 315-345
    • Melbourne, I.1    Chossat, P.2    Golubitsky, M.3
  • 12
    • 0036695939 scopus 로고    scopus 로고
    • Cycling chaos in one-dimensional coupled iterated maps
    • In press
    • A. Palacios, Cycling chaos in one-dimensional coupled iterated maps, Int. J. Bifurc. Chaos, 12(8) (2002), In press.
    • (2002) Int. J. Bifurc. Chaos , vol.12 , Issue.8
    • Palacios, A.1
  • 13
    • 0017185443 scopus 로고
    • Simple mathematical models with very complicated dynamics
    • R. May, Simple mathematical models with very complicated dynamics, Nature, 261 (1976), 459-467.
    • (1976) Nature , vol.261 , pp. 459-467
    • May, R.1
  • 14


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.