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Volumn 35, Issue 6, 1999, Pages 711-733

Stable curves asymptotic to a degenerate fixed point

Author keywords

Invariant manifold; Parabolic points

Indexed keywords

BIFURCATION (MATHEMATICS); CURVE FITTING; EIGENVALUES AND EIGENFUNCTIONS; THEOREM PROVING;

EID: 0033101751     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(98)00004-2     Document Type: Article
Times cited : (24)

References (15)
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  • 2
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    • On the Bogdanov-Takens bifurcation for planar diffeomorphisms
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    • H.W. Broer, R. Roussarie, C. Simo, On the Bogdanov-Takens bifurcation for planar diffeomorphisms, in: Int. Conf. on Differential Equations (Equadiff 91). C. Perelló et al. (Eds.), World Scientific, 1993, pp. 81-92.
    • (1993) In: Int. Conf. on Differential Equations (Equadiff 91) , pp. 81-92
    • Broer, H.W.1    Roussarie, R.2    Simo, C.3
  • 3
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    • Invariant circles in the Bogdanov-Takens bifurcation diffeomorphisms
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    • (1996) Ergod. Theor. Dyn. Systems , vol.16 , pp. 1147-1172
    • Broer, H.W.1    Roussarie, R.2    Simo, C.3
  • 4
    • 0001280518 scopus 로고
    • Invariant manifolds for a class of parabolic points
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  • 8
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    • The existence of transverse homoclinic points in the Sitnikov problem
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    • Dankowicz, H.1    Holmes, P.2
  • 9
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    • Analytic invariants of mappings of two variables
    • Diamond P.M. Analytic invariants of mappings of two variables. J. Math. Anal. Applic. 27:1969;601-608.
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  • 11
    • 0002007686 scopus 로고
    • A stable manifold theorem for degenerate fixed points with applications to Celestial Mechanics
    • McGehee R. A stable manifold theorem for degenerate fixed points with applications to Celestial Mechanics. J. Differential Equations. 14:1973;70-88.
    • (1973) J. Differential Equations , vol.14 , pp. 70-88
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  • 12
    • 0002036709 scopus 로고
    • Invariant curves near parabolic points and regions of stability
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    • C. Simo, Invariant curves near parabolic points and regions of stability, Lecture Notes in Mathematics, vol. 819, Springer, Berlin, 1980, pp. 418-424.
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  • 13
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  • 15
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.