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Volumn 16, Issue 3, 1996, Pages 431-450

A non-transverse homoclinic orbit to a saddle-node equilibrium

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EID: 0040201571     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0143385700008919     Document Type: Article
Times cited : (24)

References (22)
  • 2
    • 21844486228 scopus 로고
    • Numerical detection and continuation of codimension-two homoclinic bifurcations
    • A. Champneys and Yu. A. Kuznetsov. Numerical detection and continuation of codimension-two homoclinic bifurcations. Int. J. Bifurcation & Chaos 4 (1994), 785-822.
    • (1994) Int. J. Bifurcation & Chaos , vol.4 , pp. 785-822
    • Champneys, A.1    Kuznetsov, Yu.A.2
  • 3
    • 84972533582 scopus 로고
    • Bifurcation of a homoclinic orbit with a saddle-node equilibrium
    • S.-N. Chow and X. B. Lin. Bifurcation of a homoclinic orbit with a saddle-node equilibrium. Diff. Integr. Eq. 3 (1990), 435-466.
    • (1990) Diff. Integr. Eq. , vol.3 , pp. 435-466
    • Chow, S.-N.1    Lin, X.B.2
  • 4
    • 0000025015 scopus 로고
    • Homoclinic bifurcations with nonhyperbolic equilibria
    • B. Deng. Homoclinic bifurcations with nonhyperbolic equilibria. SIAM J. Math. Anal. 21 (1990), 693-720.
    • (1990) SIAM J. Math. Anal. , vol.21 , pp. 693-720
    • Deng, B.1
  • 8
    • 0003324839 scopus 로고
    • Global bifurcation in flows
    • ed T. Bedford and J. Swift, Cambridge University Press
    • P. Glendinning. Global bifurcation in flows. New directions in dynamical systems ed T. Bedford and J. Swift, pages 120-149. Cambridge University Press, 1988.
    • (1988) New Directions in Dynamical Systems , pp. 120-149
    • Glendinning, P.1
  • 9
    • 0001559874 scopus 로고
    • The cusp horseshoe and its bifurcations from inclination-flip homoclinic orbits
    • A. J. Homburg, H. Kokubu and M. Krupa. The cusp horseshoe and its bifurcations from inclination-flip homoclinic orbits. Ergod. Th. & Dynam. Sys. 14 (1994), 667-693.
    • (1994) Ergod. Th. & Dynam. Sys. , vol.14 , pp. 667-693
    • Homburg, A.J.1    Kokubu, H.2    Krupa, M.3
  • 10
    • 84957312349 scopus 로고
    • Finitely-smooth normal forms of local families of diffeomorphisms and vector fields
    • Yu. S. Il'yanshenko and S. Yu. Yakovenko. Finitely-smooth normal forms of local families of diffeomorphisms and vector fields. Russian Math. Surveys 46 (1991), 1-43.
    • (1991) Russian Math. Surveys , vol.46 , pp. 1-43
    • Il'yanshenko, Yu.S.1    Yakovenko, S.Yu.2
  • 11
    • 0001028637 scopus 로고
    • Bifurcations of dynamical systems with a saddle-node separatrix loop
    • V. I. Lukyanov. Bifurcations of dynamical systems with a saddle-node separatrix loop. Diff. Eq. 18 (1982), 1049-1059.
    • (1982) Diff. Eq. , vol.18 , pp. 1049-1059
    • Lukyanov, V.I.1
  • 12
    • 0242344635 scopus 로고
    • Abundance of strange attractors
    • L. Mora and M. Viana. Abundance of strange attractors. Acta. Math. 171 (1993), 1-71.
    • (1993) Acta. Math. , vol.171 , pp. 1-71
    • Mora, L.1    Viana, M.2
  • 17
    • 0001449766 scopus 로고
    • The saddle-node separatrix-loop bifurcation
    • S. Schecter. The saddle-node separatrix-loop bifurcation. SIAM J. Math. Anal. 28 (1987), 1142-1156.
    • (1987) SIAM J. Math. Anal. , vol.28 , pp. 1142-1156
    • Schecter, S.1
  • 18
    • 0000851724 scopus 로고
    • On a new type of bifurcation of multidimensional dynamical systems
    • L. P. Shilnikov. On a new type of bifurcation of multidimensional dynamical systems. Soviet Math. Dokl. 10 (1969), 1368-1371.
    • (1969) Soviet Math. Dokl. , vol.10 , pp. 1368-1371
    • Shilnikov, L.P.1
  • 19
    • 84956230541 scopus 로고
    • A contribution to a problem of the structure of an extended neighborhood of a rough equilibrium state of saddle-focus type
    • L. P. Shilnikov. A contribution to a problem of the structure of an extended neighborhood of a rough equilibrium state of saddle-focus type. Math. USSR Sbornik 10 (1970), 91-102.
    • (1970) Math. USSR Sbornik , vol.10 , pp. 91-102
    • Shilnikov, L.P.1
  • 20
    • 51249189135 scopus 로고
    • Generic one-parameter families of vector fields
    • J. Sotomayor. Generic one-parameter families of vector fields. Inst. Hautes Etudes Sci. Publ. Math. 43 (1974), 5-46.
    • (1974) Inst. Hautes Etudes Sci. Publ. Math. , vol.43 , pp. 5-46
    • Sotomayor, J.1
  • 21
    • 0002876557 scopus 로고
    • Centre manifolds, normal forms and elementary bifurcations
    • ed U. Kirchgraber and H. O. Walther. Wiley, New York
    • A. Vanderbauwhede. Centre manifolds, normal forms and elementary bifurcations. Dynamics Reported vol 2, pp 89-169. ed U. Kirchgraber and H. O. Walther. Wiley, New York, 1989.
    • (1989) Dynamics Reported , vol.2 , pp. 89-169
    • Vanderbauwhede, A.1
  • 22
    • 0002223697 scopus 로고
    • Period doubling cascades of attractors: A pre-requisite for horseshoes
    • J. A. Yorke and K. T. Alligood. Period doubling cascades of attractors: a pre-requisite for horseshoes. Comm. Math. Phys. 101 (1985), 305-321.
    • (1985) Comm. Math. Phys. , vol.101 , pp. 305-321
    • Yorke, J.A.1    Alligood, K.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.