메뉴 건너뛰기




Volumn 10, Issue 2-3, 2008, Pages 377-400

Gevrey and analytic local models for families of vector fields

Author keywords

Gevrey series; Normal forms; Resonance; Summation

Indexed keywords


EID: 73149089645     PISSN: 15313492     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcdsb.2008.10.377     Document Type: Article
Times cited : (10)

References (17)
  • 1
    • 67650723060 scopus 로고    scopus 로고
    • One dimensional invariant manifolds of Gevrey type in real-analytic maps
    • I. Baldomà and A. Haro, One dimensional invariant manifolds of Gevrey type in real-analytic maps, Discrete and Continuous Dynamical Systems Series B, 10 (2008), 295-322.
    • (2008) Discrete and Continuous Dynamical Systems Series B , vol.10 , pp. 295-322
    • Baldomà, I.1    Haro, A.2
  • 2
    • 0003223456 scopus 로고
    • From divergent power series to analytic functions
    • Springer-Verlag, Berlin. Theory and application of multisummable power series
    • W. Baiser, From divergent power series to analytic functions, volume 1582 of "Lecture Notes in Mathematics," Springer-Verlag, Berlin, 1994. Theory and application of multisummable power series.
    • (1994) Lecture Notes in Mathematics , vol.1582
    • Baiser, W.1
  • 3
    • 84878781923 scopus 로고    scopus 로고
    • Summability of power series in several variables, with applications to singular perturbation problems and partial differential equations
    • W. Baiser, Summability of power series in several variables, with applications to singular perturbation problems and partial differential equations, Ann. Fac. Sci. Toulouse, 14 (2005), 593-608.
    • (2005) Ann. Fac. Sci. Toulouse , vol.14 , pp. 593-608
    • Baiser, W.1
  • 5
    • 0006419372 scopus 로고
    • A finiteness theorem for families of vector fields in the neighborhood of a singular point of Poincaré type
    • N. N. BruŠlinskaja, A finiteness theorem for families of vector fields in the neighborhood of a singular point of Poincaré type, Funkcional. Anal, i Priložen., 5 (1971), 10-15.
    • (1971) Funkcional. Anal, i Priložen , vol.5 , pp. 10-15
    • Brušlinskaja, N.N.1
  • 6
    • 27744477144 scopus 로고    scopus 로고
    • The parametrization method for invariant manifolds iii: Overview and applications
    • X. Cabré, E. Fontich, and R. de la Llave, The parametrization method for invariant manifolds iii: overview and applications, Journal of Differential Equations, 218 (2005), 444-515.
    • (2005) Journal of Differential Equations , vol.218 , pp. 444-515
    • Cabré, X.1    Fontich, E.2    De La Llave, R.3
  • 7
    • 0038521746 scopus 로고    scopus 로고
    • The Lagrange inversion formula on non-Archimedean fields. Non-analytical form of differential and finite difference equations
    • T. Cadetti, The Lagrange inversion formula on non-Archimedean fields. Non-analytical form of differential and finite difference equations, Discrete Contin. Dyn. Syst., 9 (2003), 835-858.
    • (2003) Discrete Contin. Dyn. Syst. , vol.9 , pp. 835-858
    • Cadetti, T.1
  • 9
    • 0002147237 scopus 로고
    • Asymptotic Analysis for Integrable Connections with Irregular Singular Points
    • Springer-Verlag, Berlin
    • H. Majima, "Asymptotic Analysis for Integrable Connections with Irregular Singular Points," volume 1075 of "Lecture Notes in Mathematics," Springer-Verlag, Berlin, 1984.
    • (1984) Lecture Notes in Mathematics , vol.1075
    • Majima, H.1
  • 10
    • 3042936341 scopus 로고
    • The implicit function theorem and analytic differential equations
    • Springer-Verlag, Lecture notes in mathematics
    • K. R. Meyer, The implicit function theorem and analytic differential equations, In "Dynamical Systems - Warwick 1974," volume 468 of "Lecture notes in mathematics," 191-208, Springer-Verlag, 1975.
    • (1975) Dynamical Systems - Warwick 1974 , vol.468 , pp. 191-208
    • Meyer, K.R.1
  • 11
    • 0036477844 scopus 로고    scopus 로고
    • Summability in a direction of formal power series in several variables
    • J. Sanz, Summability in a direction of formal power series in several variables, Asymptot. Anal., 29 (2002), 115-141.
    • (2002) Asymptot. Anal. , vol.29 , pp. 115-141
    • Sanz, J.1
  • 12
    • 0041632102 scopus 로고    scopus 로고
    • Linear continuous extension operators for Gevrey classes on polysectors
    • J. Sanz, Linear continuous extension operators for Gevrey classes on polysectors, Glasg. Math. J., 45 (2003), 199-216.
    • (2003) Glasg. Math. J. , vol.45 , pp. 199-216
    • Sanz, J.1
  • 13
    • 0006989182 scopus 로고    scopus 로고
    • On strongly asymptotically developable functions and the Borel-Ritt theorem
    • J. Sanz and F. Galindo, On strongly asymptotically developable functions and the Borel-Ritt theorem, Studia Math., 133 (1999), 231-248.
    • (1999) Studia Math. , vol.133 , pp. 231-248
    • Sanz, J.1    Galindo, F.2
  • 14
    • 4644297602 scopus 로고    scopus 로고
    • Robust normal forms for saddles of analytic vector fields
    • W. Tucker, Robust normal forms for saddles of analytic vector fields, Nonlinearity, 17 (2004), 1965-1983.
    • (2004) Nonlinearity , vol.17 , pp. 1965-1983
    • Tucker, W.1
  • 16
    • 0040983034 scopus 로고
    • Summability au plus petit terme
    • M.-A. Zurro, Summability "au plus petit terme", Studia Math., 113 (1995), 197-198.
    • (1995) Studia Math. , vol.113 , pp. 197-198
    • Zurro, M.-A.1
  • 17
    • 0041111269 scopus 로고    scopus 로고
    • ∞ extensions for asymptotically developable functions
    • ∞ extensions for asymptotically developable functions, Studia Math., 123 (1997), 151-163.
    • (1997) Studia Math. , vol.123 , pp. 151-163
    • Zurro, M.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.