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Volumn 11, Issue 1, 1998, Pages 89-104

A robust heteroclinic cycle in an O(2) × Z2 steady-state mode interaction

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EID: 0039572119     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/11/1/007     Document Type: Article
Times cited : (9)

References (13)
  • 1
    • 45549113061 scopus 로고
    • Heteroclinic cycles and modulated traveling waves in systems with O(2) symmetry
    • Armbruster D, Guckenheimer J and Holmes P 1988 Heteroclinic cycles and modulated traveling waves in systems with O(2) symmetry Physica D 29 257-82
    • (1988) Physica D , vol.29 , pp. 257-282
    • Armbruster, D.1    Guckenheimer, J.2    Holmes, P.3
  • 2
    • 84954683140 scopus 로고
    • Steady-state mode interactions in the presence of O(2) symmetry
    • Dangelmayr G 1986 Steady-state mode interactions in the presence of O(2) symmetry Dynam. Stab. Syst. 1 160-85
    • (1986) Dynam. Stab. Syst. , vol.1 , pp. 160-185
    • Dangelmayr, G.1
  • 3
    • 0004770513 scopus 로고
    • The takens-bogdanov bifurcation with O(2)-symmetry
    • Dangelmayr G and Knobloch E 1987 The Takens-Bogdanov bifurcation with O(2)-symmetry Phil. Trans. R. Soc. A 332 243-79
    • (1987) Phil. Trans. R. Soc. A , vol.332 , pp. 243-279
    • Dangelmayr, G.1    Knobloch, E.2
  • 4
    • 84967792016 scopus 로고
    • Equivariant dynamical systems
    • Field M J 1980 Equivariant dynamical systems Trans. Am. Math. Soc. 259 185-205
    • (1980) Trans. Am. Math. Soc. , vol.259 , pp. 185-205
    • Field, M.J.1
  • 5
    • 0007987708 scopus 로고
    • Zigzag and varicose instabilities of a localized stripe
    • Hirschberg P and Knobloch E 1993 Zigzag and varicose instabilities of a localized stripe CHAOS 3 713-21
    • (1993) Chaos , vol.3 , pp. 713-721
    • Hirschberg, P.1    Knobloch, E.2
  • 6
    • 0001609913 scopus 로고
    • A minimal model of binary fluid convection
    • Knobloch E and Moore D R 1990 A minimal model of binary fluid convection Phys. Rev. A 42 4693-709
    • (1990) Phys. Rev. A , vol.42 , pp. 4693-4709
    • Knobloch, E.1    Moore, D.R.2
  • 7
    • 0038889884 scopus 로고
    • Chaotic travelling wave convection
    • Knobloch E and Moore D R 1991 Chaotic travelling wave convection Eur. J. Mech. B 10 no 2 supplement 37-42
    • (1991) Eur. J. Mech. B , vol.10 , Issue.2 SUPPL. , pp. 37-42
    • Knobloch, E.1    Moore, D.R.2
  • 8
    • 0001225644 scopus 로고    scopus 로고
    • Robust heteroclinic cycles
    • Krupa M 1997 Robust heteroclinic cycles J. Nonlin. Sci. 7 129-76
    • (1997) J. Nonlin. Sci. , vol.7 , pp. 129-176
    • Krupa, M.1
  • 9
    • 84974489205 scopus 로고
    • Asymptotic stability of heteroclinic cycles in systems with symmetry
    • Krupa M and Melbourne I 1995 Asymptotic stability of heteroclinic cycles in systems with symmetry Ergod. Theor. Dynam. Syst. 14 121-17
    • (1995) Ergod. Theor. Dynam. Syst. , vol.14 , pp. 121-217
    • Krupa, M.1    Melbourne, I.2
  • 10
    • 0038889885 scopus 로고
    • Nonasymptotically stable attractors in O(2) mode interactions
    • ed W Langford and W Nagata (Providence, RI: American Mathematical Society)
    • Krupa M and Melbourne I 1995 Nonasymptotically stable attractors in O(2) mode interactions Normal Forms and Homoclinic Chaos ed W Langford and W Nagata (Providence, RI: American Mathematical Society)
    • (1995) Normal Forms and Homoclinic Chaos
    • Krupa, M.1    Melbourne, I.2
  • 11
    • 84971194609 scopus 로고
    • Heteroclinic cycles involving periodic solutions in mode interactions with O(2) symmetry
    • Melbourne I, Chossat P and Golubitsky M 1989 Heteroclinic cycles involving periodic solutions in mode interactions with O(2) symmetry Proc. R. Soc. Edinburgh A 113 315-45
    • (1989) Proc. R. Soc. Edinburgh A , vol.113 , pp. 315-345
    • Melbourne, I.1    Chossat, P.2    Golubitsky, M.3
  • 12
    • 11544318802 scopus 로고
    • Higher-dimensional localized patterns in excitable media
    • Ohta T, Mimura M and Kobayashi R 1989 Higher-dimensional localized patterns in excitable media Physica D 34 115-44
    • (1989) Physica D , vol.34 , pp. 115-144
    • Ohta, T.1    Mimura, M.2    Kobayashi, R.3
  • 13
    • 84971848073 scopus 로고
    • The interaction of two spatially resonant patterns in thermal convection part 1 exact 1:2 resonance
    • Proctor M R E and Jones C A 1988 The interaction of two spatially resonant patterns in thermal convection Part 1 Exact 1:2 resonance J. Fluid Mech. 188 301-35
    • (1988) J. Fluid Mech. , vol.188 , pp. 301-335
    • Proctor, M.R.E.1    Jones, C.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.