Perturbative computation of analytic invariants of resonant diffeomorphisms of ( C , 0 )

Ezio Todesco; Julio Cesar Canille Martins

Annales de la Faculté des sciences de Toulouse : Mathématiques (1996)

  • Volume: 5, Issue: 1, page 155-172
  • ISSN: 0240-2963

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Todesco, Ezio, and Canille Martins, Julio Cesar. "Perturbative computation of analytic invariants of resonant diffeomorphisms of $(C,0)$." Annales de la Faculté des sciences de Toulouse : Mathématiques 5.1 (1996): 155-172. <http://eudml.org/doc/73374>.

@article{Todesco1996,
author = {Todesco, Ezio, Canille Martins, Julio Cesar},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {analytic conjugation; analytic invariants; perturbations},
language = {eng},
number = {1},
pages = {155-172},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Perturbative computation of analytic invariants of resonant diffeomorphisms of $(C,0)$},
url = {http://eudml.org/doc/73374},
volume = {5},
year = {1996},
}

TY - JOUR
AU - Todesco, Ezio
AU - Canille Martins, Julio Cesar
TI - Perturbative computation of analytic invariants of resonant diffeomorphisms of $(C,0)$
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1996
PB - UNIVERSITE PAUL SABATIER
VL - 5
IS - 1
SP - 155
EP - 172
LA - eng
KW - analytic conjugation; analytic invariants; perturbations
UR - http://eudml.org/doc/73374
ER -

References

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  1. [1] Ecalle ( J.) .— Les fonctions résurgentes et leurs applications, Publications Math. d'Orsay (1982). 
  2. [2] Voronin ( S.M.) .— Analytic classification of germs of conformal mappings (C, 0) → (C, 0) with identity linear part, Funct. Analy. and Appl.15 (1981), pp. 1-13. Zbl0463.30010MR609790
  3. [3] Elizarov ( P.M.) .— Orbital analytical nonequivalence of saddle resonance vector fields in (C2, 0), Math. U.S.S.R. Sbornik51 (1985), pp. 533-547. Zbl0569.34009MR740677
  4. [4] Martinet ( J.) and Ramis ( J.-P.) .— Classification analytique des équations différentielles non linéaires résonnantes du premier ordre, Ann. scient. Ec. Norm. Sup.16 (1983), pp. 571-621. Zbl0534.34011MR740592
  5. [5] Malgrange ( B.) .- Travaux d'Ecalle et de Martinet-Ramis sur les systèmes dynamiques, Astérique92-93 (1982), pp. 59-73. Zbl0526.58009MR689526
  6. [6] Camacho ( C.) .- On the local structure of conformal mappings and holomorphic vector fields in C2, Astérique59-60 (1978), pp. 83-94. Zbl0415.30015MR542732
  7. [7] Kimura ( T.) .- On the iteration of analytic functions, Funk. Equacioj14-3 (1971), pp. 197-238. Zbl0237.30008MR302876
  8. [8] Eckmann ( J.-P.) and Witter ( P.) .— Computer methods and Borel summability applied to Feigenbaum's equation, Lecture Notes in Physics Vol. 227, Springer Verlag, Berlin (1985). Zbl0598.58040MR788690
  9. [9] Canille Martins ( J.-C.) .— Desenvolvimento Assintótico e Introdução ao Calculo Diferencial Resurgente, 17e Colóquio Brasileiro de Matamática, IMPA (1989), 143 p. 
  10. [10] Eckmann ( J.-P.) and Witter ( P.) .— Multiplicative and additive renormalization, Les Houches SessionXLIII, Elsevier Science Publ.1984, pp. 455-465. Zbl0697.30025MR880531

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