메뉴 건너뛰기




Volumn 17, Issue 5, 2004, Pages 1965-1983

Robust normal forms for saddles of analytic vector fields

Author keywords

[No Author keywords available]

Indexed keywords


EID: 4644297602     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/17/5/020     Document Type: Article
Times cited : (8)

References (16)
  • 1
    • 84956274275 scopus 로고
    • Equivalence and normal forms of germs of smooth mappings
    • [Be78]
    • [Be78] Belitskii G R 1978 Equivalence and normal forms of germs of smooth mappings Russ. Math. Surv. 33 107-77
    • (1978) Russ. Math. Surv. , vol.33 , pp. 107-177
    • Belitskii, G.R.1
  • 2
    • 0035422693 scopus 로고    scopus 로고
    • Verified integration of dynamics in the solar system
    • [Be01]
    • [Be01] Berz M, Makino K and Hoefkens J 2001 Verified integration of dynamics in the solar system Nonlinear Anal. 47 179-90
    • (2001) Nonlinear Anal. , vol.47 , pp. 179-190
    • Berz, M.1    Makino, K.2    Hoefkens, J.3
  • 3
    • 0000625704 scopus 로고
    • Exponential expansion with Sil'nikov's saddle-focus
    • [De89]
    • [De89] Deng B 1989 Exponential expansion with Sil'nikov's saddle-focus J. Diff. Eqns 82 156-73
    • (1989) J. Diff. Eqns , vol.82 , pp. 156-173
    • Deng, B.1
  • 4
    • 0000820638 scopus 로고
    • On local homeomorphisms of Euclidian spaces
    • [Ha60]
    • [Ha60] Hartman P 1960 On local homeomorphisms of Euclidian spaces Bol. Soc. Math. Mexicana 5 220-41
    • (1960) Bol. Soc. Math. Mexicana , vol.5 , pp. 220-241
    • Hartman, P.1
  • 7
    • 0242510851 scopus 로고    scopus 로고
    • The existence of simple choreographies for the N-body problem - A computer-assisted proof
    • [KZ03]
    • [KZ03] Kapela T and Zgliczynski P 2003 The existence of simple choreographies for the N-body problem - a computer-assisted proof Nonlinearity 16 1899-918
    • (2003) Nonlinearity , vol.16 , pp. 1899-1918
    • Kapela, T.1    Zgliczynski, P.2
  • 8
    • 0003692654 scopus 로고
    • [Ne64] (Princeton, NJ: Princeton University Press)
    • [Ne64] Nelson E 1964 Topics in Dynamics I: Flaws (Princeton, NJ: Princeton University Press)
    • (1964) Topics in Dynamics I: Flaws
    • Nelson, E.1
  • 9
    • 4243263455 scopus 로고
    • Sur les proprietes des fonctions definies par les equations aux differences partielles
    • [Po29] (Paris: Gautiers-Villars)
    • [Po29] Poincaré H 1929 Sur les proprietes des fonctions definies par les equations aux differences partielles Oeuvres vol 1 (Paris: Gautiers-Villars)
    • (1929) Oeuvres , vol.1
    • Poincaré, H.1
  • 10
    • 0002341745 scopus 로고
    • Über die analytische Normalform analytischer Differentialgleichungen in der Nähe einer Gleichgewichtslösung
    • [Si52]
    • [Si52] Siegel C L 1952 Über die analytische Normalform analytischer Differentialgleichungen in der Nähe einer Gleichgewichtslösung Nachr. Akad. Wiss. Göttingen, Math. Phys. Kl. 21-30
    • (1952) Nachr. Akad. Wiss. Göttingen, Math. Phys. Kl. , pp. 21-30
    • Siegel, C.L.1
  • 12
    • 0000935977 scopus 로고
    • Smooth linearization near a fixed point
    • [Se85]
    • [Se85] Sell G R 1985 Smooth linearization near a fixed point Am. J. Math. 107 1035-91
    • (1985) Am. J. Math. , vol.107 , pp. 1035-1091
    • Sell, G.R.1
  • 13
    • 0000781644 scopus 로고
    • Local contractions and a theorem of Poincaré
    • [St57]
    • [St57] Sternberg S 1957 Local contractions and a theorem of Poincaré Am. J. Math. 79 809-24
    • (1957) Am. J. Math. , vol.79 , pp. 809-824
    • Sternberg, S.1
  • 14
    • 0000542238 scopus 로고
    • On the structure of local homeomorphisms of Euclidian n-space - II
    • [St58]
    • [St58] Sternberg S 1958 On the structure of local homeomorphisms of Euclidian n-space - II Am. J. Math. 80 623-31
    • (1958) Am. J. Math. , vol.80 , pp. 623-631
    • Sternberg, S.1
  • 15
    • 0002061016 scopus 로고    scopus 로고
    • A rigorous ODE solver and Smale's 14th problem
    • [Tu02]
    • [Tu02] Tucker W 2002 A rigorous ODE solver and Smale's 14th problem Found. Comput. Math. 2 53-117
    • (2002) Found. Comput. Math. , vol.2 , pp. 53-117
    • Tucker, W.1
  • 16
    • 0344578972 scopus 로고    scopus 로고
    • Rigorous numerics for partial differential equations: The Kuramoto - Sivashinsky equation
    • [ZM01]
    • [ZM01] Zgliczynski P and Mischaikow K 2001 Rigorous numerics for partial differential equations: the Kuramoto - Sivashinsky equation Found. Comput. Math. 1255-88
    • (2001) Found. Comput. Math. , pp. 1255-1288
    • Zgliczynski, P.1    Mischaikow, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.