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Volumn 138, Issue 2, 2008, Pages 265-299

Canard cycles in the presence of slow dynamics with singularities

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EID: 48849115485     PISSN: 03082105     EISSN: 14737124     Source Type: Journal    
DOI: 10.1017/S0308210506000199     Document Type: Article
Times cited : (61)

References (9)
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    • F. Dumortier. Techniques in the theory of local bifurcations: blow up, normal forms, nilpotent bifurcations, singular perturbations. In Bifurcations and periodic orbits and vector fields (ed. D. Schlomiuk), NATO Advanced Study Institute Series C, vol. 408, pp. 19-73 (Kluwer, 1993).
    • (1993) NATO Advanced Study Institute Series , vol.100 , pp. 19-73
    • Dumortier, F.1
  • 4
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    • Topics on singularities and bifurcations of vector fields
    • Normal forms, bifurcations and finiteness problems in differential equations, Kluwer
    • F. Dumortier and P. De Maesschalck. Topics on singularities and bifurcations of vector fields. In Normal forms, bifurcations and finiteness problems in differential equations, NATO Science Series II, vol. 137 (Kluwer, 2004).
    • (2004) NATO Science Series II , vol.137
    • Dumortier, F.1    De Maesschalck, P.2
  • 5
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    • Time analysis and entry-exit relation near planar turning points
    • F. Dumortier and P. De Maesschalck. Time analysis and entry-exit relation near planar turning points. J. Diff. Eqns 215 (2005), 225-267.
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    • Dumortier, F.1    De Maesschalck, P.2
  • 6
    • 33646684699 scopus 로고    scopus 로고
    • Canard solutions at non-generic turning points
    • F. Dumortier and P. De Maesschalck. Canard solutions at non-generic turning points. Trans. Am. Math. Soc. 358 (2006), 2291-2334.
    • (2006) Trans. Am. Math. Soc , vol.358 , pp. 2291-2334
    • Dumortier, F.1    De Maesschalck, P.2
  • 7
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    • Canard cycles and center manifolds
    • F. Dumortier and R. Roussarie. Canard cycles and center manifolds. Mem. Am. Math. Soc. 121 (1996), no. 577.
    • (1996) Mem. Am. Math. Soc , vol.121 , Issue.577
    • Dumortier, F.1    Roussarie, R.2
  • 8
    • 0035920091 scopus 로고    scopus 로고
    • Multiple canard cycles in generalized Liénard equations
    • F. Dumortier and R. Roussarie. Multiple canard cycles in generalized Liénard equations. J. Diff. Eqns 174 (2001), 1-29.
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    • Dumortier, F.1    Roussarie, R.2
  • 9
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    • Finitely smooth normal forms of local families of diffeomorphisms and vector fields
    • Yu. Ilyashenko and S. Yakovenko. Finitely smooth normal forms of local families of diffeomorphisms and vector fields. Usp. Mat. Nauk 46 (1991), 3-39.
    • (1991) Usp. Mat. Nauk , vol.46 , pp. 3-39
    • Ilyashenko, Y.1    Yakovenko, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.