Geodesic
A study of iteration of cubic maps with the position of linear conjugacy
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2011), pp. 20-39

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

The device of a linear conjugacy is applied to research of real cubic maps. The program of studying of map cycles is proposed. This program is connected with construction of multipliers constancy lines on the half-plane of material parameters. We study the cycles of small periods: 1 and 2-cycles, and also – it is less detailed – 3-cycles.
Keywords: cubic mapping, linear conjugacy, the stability region of cycles.
Mots-clés : line multipliers cycles 
@article{VUU_2011_1_a3,
     author = {V. A. Gustomesov},
     title = {A study of iteration of cubic maps with the position of linear conjugacy},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {20--39},
     publisher = {mathdoc},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2011_1_a3/}
}
TY  - JOUR
AU  - V. A. Gustomesov
TI  - A study of iteration of cubic maps with the position of linear conjugacy
JO  - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
PY  - 2011
SP  - 20
EP  - 39
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VUU_2011_1_a3/
LA  - ru
ID  - VUU_2011_1_a3
ER  - 
%0 Journal Article
%A V. A. Gustomesov
%T A study of iteration of cubic maps with the position of linear conjugacy
%J Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
%D 2011
%P 20-39
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VUU_2011_1_a3/
%G ru
%F VUU_2011_1_a3
V. A. Gustomesov. A study of iteration of cubic maps with the position of linear conjugacy. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2011), pp. 20-39. http://geodesic.mathdoc.fr/item/VUU_2011_1_a3/