Geodesic
On scenarios of chaos appearance in three-dimensional nonoriented maps
Žurnal Srednevolžskogo matematičeskogo obŝestva, Tome 18 (2016) no. 4, pp. 17-29

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

For one-parameter families of three-dimensional nonorientable maps we study scenarios of appearance of strange homoclinic attractors (containing only one fixed point). We describe 4 different scenarios leading to discrete homoclinic nonorientable attractors: correspondingly, of Lorenz and figure-eight types (containing a saddle fixed point), and spiral attractors of two types (containing a saddle-focus fixed point). Some examples of realization of these scenarios in the case of three-dimensional nonorientable generalized Henon maps are given.
Keywords: strange attractor, Lorenz attractor, spiral attractor, invariant curve, three-dimensional generalized Henon map.
Mots-clés : homoclinic orbit 
@article{SVMO_2016_18_4_a1,
     author = {A. S. Gonchenko and A. D. Kozlov},
     title = {On scenarios of chaos appearance in three-dimensional nonoriented maps},
     journal = {\v{Z}urnal Srednevol\v{z}skogo matemati\v{c}eskogo ob\^{s}estva},
     pages = {17--29},
     publisher = {mathdoc},
     volume = {18},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVMO_2016_18_4_a1/}
}
TY  - JOUR
AU  - A. S. Gonchenko
AU  - A. D. Kozlov
TI  - On scenarios of chaos appearance in three-dimensional nonoriented maps
JO  - Žurnal Srednevolžskogo matematičeskogo obŝestva
PY  - 2016
SP  - 17
EP  - 29
VL  - 18
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SVMO_2016_18_4_a1/
LA  - ru
ID  - SVMO_2016_18_4_a1
ER  - 
%0 Journal Article
%A A. S. Gonchenko
%A A. D. Kozlov
%T On scenarios of chaos appearance in three-dimensional nonoriented maps
%J Žurnal Srednevolžskogo matematičeskogo obŝestva
%D 2016
%P 17-29
%V 18
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SVMO_2016_18_4_a1/
%G ru
%F SVMO_2016_18_4_a1
A. S. Gonchenko; A. D. Kozlov. On scenarios of chaos appearance in three-dimensional nonoriented maps. Žurnal Srednevolžskogo matematičeskogo obŝestva, Tome 18 (2016) no. 4, pp. 17-29. http://geodesic.mathdoc.fr/item/SVMO_2016_18_4_a1/