Geodesic
On the numerical method of construction of unstable solutions of dynamical systems with quadratic nonlinearities
Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 123, pp. 555-565

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

In this paper, the author considers the modification of the method of power series for the numerical construction of unstable solutions of systems of ordinary differential equations of chaotic type with quadratic nonlinearities in general form. A region of convergence of series is found and an algorithm for constructing approximate solutions is proposed.
Mots-clés : chaos
Keywords: Lorentz system, attractor, power series. 
@article{VTAMU_2018_23_123_a26,
     author = {A. N. Pchelintsev},
     title = {On the numerical method of construction of unstable solutions of dynamical systems with quadratic nonlinearities},
     journal = {Vestnik rossijskih universitetov. Matematika},
     pages = {555--565},
     publisher = {mathdoc},
     volume = {23},
     number = {123},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTAMU_2018_23_123_a26/}
}
TY  - JOUR
AU  - A. N. Pchelintsev
TI  - On the numerical method of construction of unstable solutions of dynamical systems with quadratic nonlinearities
JO  - Vestnik rossijskih universitetov. Matematika
PY  - 2018
SP  - 555
EP  - 565
VL  - 23
IS  - 123
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VTAMU_2018_23_123_a26/
LA  - ru
ID  - VTAMU_2018_23_123_a26
ER  - 
%0 Journal Article
%A A. N. Pchelintsev
%T On the numerical method of construction of unstable solutions of dynamical systems with quadratic nonlinearities
%J Vestnik rossijskih universitetov. Matematika
%D 2018
%P 555-565
%V 23
%N 123
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VTAMU_2018_23_123_a26/
%G ru
%F VTAMU_2018_23_123_a26
A. N. Pchelintsev. On the numerical method of construction of unstable solutions of dynamical systems with quadratic nonlinearities. Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 123, pp. 555-565. http://geodesic.mathdoc.fr/item/VTAMU_2018_23_123_a26/