Geodesic
An analytic integral along the separatrix of the semistandard map:existence and an exponential estimate for the distance between the stable and unstable separatrices
Algebra i analiz, Tome 4 (1992) no. 4, pp. 110-142 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Неге I give the proof to the existence of separatrices of the semistandard map, the exponential estimate from above for the distance between the stable and unstable separatrices, and the existence of an analytical ingtegral near the unstable separatrix. These three things are necessary for obtaining the asymtotics of separatrices splittings for the standard map with small values of the parameter and for defining quantities entering the asymptotics. 
@article{AA_1992_4_4_a4,
     author = {V. F. Lazutkin},
     title = {An analytic integral along the separatrix of the semistandard map:existence and an exponential estimate for the distance between the stable and unstable separatrices},
     journal = {Algebra i analiz},
     pages = {110--142},
     year = {1992},
     volume = {4},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AA_1992_4_4_a4/}
}
TY  - JOUR
AU  - V. F. Lazutkin
TI  - An analytic integral along the separatrix of the semistandard map:existence and an exponential estimate for the distance between the stable and unstable separatrices
JO  - Algebra i analiz
PY  - 1992
SP  - 110
EP  - 142
VL  - 4
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/AA_1992_4_4_a4/
LA  - en
ID  - AA_1992_4_4_a4
ER  - 
%0 Journal Article
%A V. F. Lazutkin
%T An analytic integral along the separatrix of the semistandard map:existence and an exponential estimate for the distance between the stable and unstable separatrices
%J Algebra i analiz
%D 1992
%P 110-142
%V 4
%N 4
%U http://geodesic.mathdoc.fr/item/AA_1992_4_4_a4/
%G en
%F AA_1992_4_4_a4
V. F. Lazutkin. An analytic integral along the separatrix of the semistandard map:existence and an exponential estimate for the distance between the stable and unstable separatrices. Algebra i analiz, Tome 4 (1992) no. 4, pp. 110-142. http://geodesic.mathdoc.fr/item/AA_1992_4_4_a4/