The second term of the asymptotics of the monodromy map in case of two even edges of Newton diagram

Electronic Journal of Qualitative Theory of Differential Equations

Volumn , Issue , 2000, Pages 1-15

  Medvedeva, N ^a   Batcheva, E ^a  

^a CHELYABINSK STATE UNIVERSITY   (Russian Federation)

Author keywords

Center; Focus; Monodromic singular point; Monodromy map; Newton diagram; Resolution of singularity

Indexed keywords

EID: 0002109505     PISSN: 14173875     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (6)

1. V.I.Arnol'd and Yu.S.Il'yashenko, Ordinary differential equations. 1. in: "Sovremennye problemy matematiki. Fundamental'nye napravleniya, Vol.1, Itogi Nauki i Tekhniki, VINITI AN SSSR, Moscow, 1985, 7-149
2. (English: Encyclopaedia of Mathematical Science, Vol.1, Springer, Heidelberg).
3. N.B.Medvedeva, The principal term of the first return function of a monodromic singular point is linear, Sibirskii matematicheskii zhurnal. 1992, Vol.33, No.2 p.116-124.
4. F.S.Berezovskaja and N.B.Medvedeva, A complicated Singular point of "Center-focus" type and the Newton diagram, Selecta Mathematica Vol.13, No 1, 1994, p.1-15.
5. Yu.S.Il'yashenko, The memoir of Dulak "About the limit cycles" and the ajacent questions of the local theory of the differential equations, Uspekhi Mat. Nauk 40(1985), p.41-78.
6. Chen K.T. Equivalence and decomposition of vector fields about an elementary critical point. - Amer.J. Math., 1963, v. 85, N4, p.693-722.