메뉴 건너뛰기




Volumn 12, Issue 8, 2002, Pages 1859-1868

Cycling chaos in one-dimensional coupled iterated maps

Author keywords

Coupled cell systems; Cycling chaos; Symmetry

Indexed keywords

ASYMPTOTIC STABILITY; DIFFERENTIAL EQUATIONS; ITERATIVE METHODS; NONLINEAR EQUATIONS; SET THEORY;

EID: 0036695939     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127402005492     Document Type: Article
Times cited : (30)

References (11)
  • 1
    • 45549113061 scopus 로고
    • Heteroclinic cycles and modulated traveling waves in systems with O(2) symmetry
    • Armbruster, D., Guckenheimer, J. & Holmes, P. [1988] "Heteroclinic cycles and modulated traveling waves in systems with O(2) symmetry," Physica D29, 257-282.
    • (1988) Physica , vol.D29 , pp. 257-282
    • Armbruster, D.1    Guckenheimer, J.2    Holmes, P.3
  • 2
    • 0040778387 scopus 로고    scopus 로고
    • Heteroclinic cycles in rings of coupled cells
    • Buono, P. L., Golubitsky, M. & Palacios, A. [2000] "Heteroclinic cycles in rings of coupled cells," Physica D143, 74-108.
    • (2000) Physica , vol.D143 , 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
    • Dionne, B., Golubitsky, M. & Stewart, I. [1996] "Coupled cells with internal symmetry. Part I: Wreath products," Nonlinearity 9, 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
    • Field, M. J. [1980] "Equivariant dynamical systems," Trans. Amer. Math. Soc. 259(1), 185-205.
    • (1980) Trans. Amer. Math. Soc. , vol.259 , Issue.1 , pp. 185-205
    • Field, M.J.1
  • 8
    • 0017185443 scopus 로고
    • Simple mathematical models with very complicated dynamics
    • May, R. [1976] "Simple mathematical models with very complicated dynamics," Nature 261, 459-467.
    • (1976) Nature , vol.261 , pp. 459-467
    • May, R.1
  • 9
    • 84971194609 scopus 로고
    • Heteroclinic cycles involving periodic solutions in mode interactions with O(2) symmetry
    • Melbourne, I., Chossat, P. & Golubitsky, M. [1989] "Heteroclinic cycles involving periodic solutions in mode interactions with O(2) symmetry," Proc. R. Soc. Edinburgh A113, 315-345.
    • (1989) Proc. R. Soc. Edinburgh , vol.A113 , pp. 315-345
    • Melbourne, I.1    Chossat, P.2    Golubitsky, M.3
  • 10
    • 0010532713 scopus 로고    scopus 로고
    • Heteroclinic cycles in coupled systems of difference equations
    • to appear
    • Palacios, A. [2002] "Heteroclinic cycles in coupled systems of difference equations," J. Diff. Eq. Appl., to appear.
    • (2002) J. Diff. Eq. Appl.
    • Palacios, A.1
  • 11
    • 49049123108 scopus 로고
    • Chaos in the cubic mapping
    • Rogers, T. & Whitley, D. C. [1983] "Chaos in the cubic mapping," Math. Model. 4, 9-25.
    • (1983) Math. Model , vol.4 , pp. 9-25
    • Rogers, T.1    Whitley, D.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.