Geodesic
On Realization of Topological Conjugacy Classes of Morse--Smale Cascades on the Sphere $S^n$
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected issues of mathematics and mechanics, Tome 310 (2020), pp. 119-134

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

We consider the class $G(S^n)$ of orientation-preserving Morse–Smale diffeomorphisms defined on the sphere $S^n$ of dimension $n\geq 4$ under the assumption that the invariant manifolds of different saddle periodic points are disjoint. For diffeomorphisms in this class, we describe an algorithm for constructing representatives of all topological conjugacy classes. 
@article{TM_2020_310_a7,
     author = {V. Z. Grines and E. Ya. Gurevich and V. S. Medvedev},
     title = {On {Realization} of {Topological} {Conjugacy} {Classes} of {Morse--Smale} {Cascades} on the {Sphere} $S^n$},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {119--134},
     publisher = {mathdoc},
     volume = {310},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2020_310_a7/}
}
TY  - JOUR
AU  - V. Z. Grines
AU  - E. Ya. Gurevich
AU  - V. S. Medvedev
TI  - On Realization of Topological Conjugacy Classes of Morse--Smale Cascades on the Sphere $S^n$
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2020
SP  - 119
EP  - 134
VL  - 310
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_2020_310_a7/
LA  - ru
ID  - TM_2020_310_a7
ER  - 
%0 Journal Article
%A V. Z. Grines
%A E. Ya. Gurevich
%A V. S. Medvedev
%T On Realization of Topological Conjugacy Classes of Morse--Smale Cascades on the Sphere $S^n$
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2020
%P 119-134
%V 310
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2020_310_a7/
%G ru
%F TM_2020_310_a7
V. Z. Grines; E. Ya. Gurevich; V. S. Medvedev. On Realization of Topological Conjugacy Classes of Morse--Smale Cascades on the Sphere $S^n$. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected issues of mathematics and mechanics, Tome 310 (2020), pp. 119-134. http://geodesic.mathdoc.fr/item/TM_2020_310_a7/