Geodesic
Necessary and sufficient conditions for the topological conjugacy of 3-diffeomorphisms with heteroclinic tangencies
Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 77 (2016) no. 1, pp. 83-102

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we consider a class of three-dimensional diffeomorphisms that differ from gradient-like systems through the presence of heteroclinic tangencies. It is well known that such cascades are not structurally stable. However, here we find a complete system of topological invariants for a certain meaningful class of such diffeomorphisms. 
@article{MMO_2016_77_1_a2,
     author = {T. M. Mitryakova and O. V. Pochinka},
     title = {Necessary and sufficient conditions for the topological conjugacy of 3-diffeomorphisms with heteroclinic tangencies},
     journal = {Trudy Moskovskogo matemati\v{c}eskogo ob\^{s}estva},
     pages = {83--102},
     publisher = {mathdoc},
     volume = {77},
     number = {1},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MMO_2016_77_1_a2/}
}
TY  - JOUR
AU  - T. M. Mitryakova
AU  - O. V. Pochinka
TI  - Necessary and sufficient conditions for the topological conjugacy of 3-diffeomorphisms with heteroclinic tangencies
JO  - Trudy Moskovskogo matematičeskogo obŝestva
PY  - 2016
SP  - 83
EP  - 102
VL  - 77
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MMO_2016_77_1_a2/
LA  - ru
ID  - MMO_2016_77_1_a2
ER  - 
%0 Journal Article
%A T. M. Mitryakova
%A O. V. Pochinka
%T Necessary and sufficient conditions for the topological conjugacy of 3-diffeomorphisms with heteroclinic tangencies
%J Trudy Moskovskogo matematičeskogo obŝestva
%D 2016
%P 83-102
%V 77
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MMO_2016_77_1_a2/
%G ru
%F MMO_2016_77_1_a2
T. M. Mitryakova; O. V. Pochinka. Necessary and sufficient conditions for the topological conjugacy of 3-diffeomorphisms with heteroclinic tangencies. Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 77 (2016) no. 1, pp. 83-102. http://geodesic.mathdoc.fr/item/MMO_2016_77_1_a2/