메뉴 건너뛰기




Volumn 24, Issue 4, 2009, Pages 459-471

Essentially asymptotically stable homoclinic networks

Author keywords

Essential asymptotic stablility; Homoclinic cycle

Indexed keywords

ASYMPTOTICALLY STABLE; CODIMENSION; ESSENTIAL ASYMPTOTIC STABLILITY; HOMOCLINIC; HOMOCLINIC CYCLE; NON-LINEARITY; STABLE MANIFOLD;

EID: 70350788857     PISSN: 14689367     EISSN: 14689375     Source Type: Journal    
DOI: 10.1080/14689360903039664     Document Type: Article
Times cited : (14)

References (19)
  • 1
    • 0000301793 scopus 로고
    • An example of a nonasymptotically stable attractor
    • I. Melbourne, An example of a nonasymptotically stable attractor, Nonlinearity 4(3) (1991), pp. 835-844.
    • (1991) Nonlinearity , vol.4 , Issue.3 , pp. 835-844
    • Melbourne, I.1
  • 2
    • 0011289134 scopus 로고
    • Heteroclinic networks on the tetrahedron
    • W. Brannath, Heteroclinic networks on the tetrahedron, Nonlinearity 7(5) (1994), pp. 1367-1384.
    • (1994) Nonlinearity , vol.7 , Issue.5 , pp. 1367-1384
    • Brannath, W.1
  • 3
    • 22244472608 scopus 로고
    • A competition between heteroclinic cycles
    • V. Kirk and M. Silber, A competition between heteroclinic cycles, Nonlinearity 7(6) (1994), pp. 1605-1621.
    • (1994) Nonlinearity , vol.7 , Issue.6 , pp. 1605-1621
    • Kirk, V.1    Silber, M.2
  • 4
    • 0038889885 scopus 로고
    • Nonasymptotically stable attractors in O(2) mode interactions, in normal forms and homoclinic chaos (Waterloo, ON, 1992)
    • W.F. Langford and W. Nagata, eds. of Fields Institute Communications, Providence, RI
    • M. Krupa and I. Melbourne, Nonasymptotically stable attractors in O(2) mode interactions, in Normal Forms and Homoclinic Chaos (Waterloo, ON, 1992), W.F. Langford and W. Nagata, eds., Volume 4 of Fields Institute Communications, American Mathematical Society, Providence, RI, 1995, pp. 219-232.
    • (1995) American Mathematical Society , vol.4 , pp. 219-232
    • Krupa, M.1    Melbourne, I.2
  • 5
    • 21244491558 scopus 로고    scopus 로고
    • Regular and irregular cycling near a heteroclinic network
    • C.M. Postlethwaite and J.H.P. Dawes, Regular and irregular cycling near a heteroclinic network, Nonlinearity 18(4) (2005), pp. 1477-1509.
    • (2005) Nonlinearity , vol.18 , Issue.4 , pp. 1477-1509
    • Postlethwaite, C.M.1    Dawes, J.H.P.2
  • 7
    • 0005876698 scopus 로고    scopus 로고
    • Magnetic dynamos in rotating convection - A dynamical systems approach
    • (Differential equations and dynamical systems (Waterloo, ON, 1997))
    • P. Chossat, M. Krupa, I. Melbourne, and A. Scheel, Magnetic dynamos in rotating convection - A dynamical systems approach, Dynam. Contin. Discrete Impuls. Systems 5(1-4) (1999), pp. 327-340 (Differential equations and dynamical systems (Waterloo, ON, 1997)).
    • (1999) Dynam. Contin. Discrete Impuls. Systems , vol.5 , Issue.1-4 , pp. 327-340
    • Chossat, P.1    Krupa, M.2    Melbourne, I.3    Scheel, A.4
  • 8
    • 0005793561 scopus 로고    scopus 로고
    • Transverse bifurcations of homoclinic cycles
    • P. Chossat, M. Krupa, I. Melbourne, and A. Scheel, Transverse bifurcations of homoclinic cycles, Phys. D 100(1-2) (1997), pp. 85-100.
    • (1997) Phys. D , vol.100 , Issue.1-2 , pp. 85-100
    • Chossat, P.1    Krupa, M.2    Melbourne, I.3    Scheel, A.4
  • 9
    • 0001225644 scopus 로고    scopus 로고
    • Robust heteroclinic cycles
    • M. Krupa, Robust heteroclinic cycles, J. Nonlinear Sci. 7(2) (1997), pp. 129-176.
    • (1997) J. Nonlinear Sci. , vol.7 , Issue.2 , pp. 129-176
    • Krupa, M.1
  • 10
    • 45549113061 scopus 로고
    • Heteroclinic cycles and modulated travelling waves in systems with O 2) symmetry
    • D. Armbruster, J. Guckenheimer, and P. Holmes, Heteroclinic cycles and modulated travelling waves in systems with O(2) symmetry, Phys. D 29(3) (1988), pp. 257-282.
    • (1988) Phys. D , vol.29 , Issue.3 , pp. 257-282
    • Armbruster, D.1    Guckenheimer, J.2    Holmes, P.3
  • 11
    • 84971848073 scopus 로고    scopus 로고
    • The interaction of two spatially resonant patterns in thermal convection. I. Exact 1:2 resonance
    • M.R.E. Proctor and C.A. Jones, The interaction of two spatially resonant patterns in thermal convection. I. Exact 1:2 resonance, J. Fluid Mech. 188 (1998), pp. 301-335.
    • (1998) J. Fluid Mech. , vol.188 , pp. 301-335
    • Proctor, M.R.E.1    Jones, C.A.2
  • 12
    • 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, Ergodic Theory Dynam. Systems 15(1) (1995), pp. 121-147.
    • (1995) Ergodic Theory Dynam. Systems , vol.15 , Issue.1 , pp. 121-147
    • Krupa, M.1    Melbourne, I.2
  • 13
    • 0005862118 scopus 로고
    • Forced symmetry breaking of homoclinic cycles
    • B. Sandstede and A. Scheel, Forced symmetry breaking of homoclinic cycles, Nonlinearity 8(3) (1995), pp. 333-365.
    • (1995) Nonlinearity , vol.8 , Issue.3 , pp. 333-365
    • Sandstede, B.1    Scheel, A.2
  • 15
    • 0000152319 scopus 로고
    • Partially hyperbolic fixed points
    • F. Takens, Partially hyperbolic fixed points, Topology 10 (1971), pp. 133-147.
    • (1971) Topology , vol.10 , pp. 133-147
    • Takens, F.1
  • 16
    • 0002928614 scopus 로고
    • Finitely smooth normal forms of local families of diffeomorphisms and vector fields
    • 240
    • Y.S. Ilyashenko and S.Y. Yakovenko, Finitely smooth normal forms of local families of diffeomorphisms and vector fields, Uspekhi Mat. Nauk 46(1(277)) (1991), pp. 3-39, 240.
    • (1991) Uspekhi Mat. Nauk , vol.46 , Issue.1-277 , pp. 3-39
    • Ilyashenko, Y.S.1    Yakovenko, S.Y.2
  • 17
    • 0034356490 scopus 로고    scopus 로고
    • Symmetric and reversible families of vector fields near a partially hyperbolic singularity
    • P. Bonckaert, Symmetric and reversible families of vector fields near a partially hyperbolic singularity, Ergodic Theory Dynam. Systems 20(6) (2000), pp. 1627-1637.
    • (2000) Ergodic Theory Dynam. Systems , vol.20 , Issue.6 , pp. 1627-1637
    • Bonckaert, P.1
  • 18
    • 0033542306 scopus 로고    scopus 로고
    • Genericity conditions for finite cyclicity of elementary graphics
    • A. Guzmán and C. Rousseau, Genericity conditions for finite cyclicity of elementary graphics, J. Diff. Equ. 155(1) (1999), pp. 44-72.
    • (1999) J. Diff. Equ. , vol.155 , Issue.1 , pp. 44-72
    • Guzmán, A.1    Rousseau, C.2
  • 19
    • 52849085252 scopus 로고
    • Le théorème de préparation différentiable en classe p
    • (Colloque International sur l'Analyse et la Topologie Diffé rentielle (Colloq. Internat. CNRS, No. 210, Strasbourg, 1972)
    • G. Lassalle, Le théorème de préparation différentiable en classe p, Ann. Inst. Fourier (Grenoble) 23(2) (1973), pp. 97-108 (Colloque International sur l'Analyse et la Topologie Diffé rentielle (Colloq. Internat. CNRS, No. 210, Strasbourg, 1972)).
    • (1973) Ann. Inst. Fourier (Grenoble) , vol.23 , Issue.2 , pp. 97-108
    • Lassalle, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.