Geodesic
Analysis of the effect of random noise on the strange attractors of Monte Carlo on a~supercomputer
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 18 (2015) no. 2, pp. 121-134

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

In this paper, we numerically investigate the influence of random noise on the behavior of the trajectories of strange attractors defined by a system of ordinary differential equations. The resulting stochastic differential equations are solved by the generalized Euler method. The results of numerical experiments conducted on a cluster of NKS-30T Siberian Supercomputer Center at ICMMG using the program package PARMONC. For the analysis of the numerical solutions, the frequency characteristics of generalizing the integral curve and the phase portrait are used. 
@article{SJVM_2015_18_2_a1,
     author = {S. S. Artemiev and A. A. Ivanov},
     title = {Analysis of the effect of random noise on the strange attractors of {Monte} {Carlo} on a~supercomputer},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {121--134},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2015_18_2_a1/}
}
TY  - JOUR
AU  - S. S. Artemiev
AU  - A. A. Ivanov
TI  - Analysis of the effect of random noise on the strange attractors of Monte Carlo on a~supercomputer
JO  - Sibirskij žurnal vyčislitelʹnoj matematiki
PY  - 2015
SP  - 121
EP  - 134
VL  - 18
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJVM_2015_18_2_a1/
LA  - ru
ID  - SJVM_2015_18_2_a1
ER  - 
%0 Journal Article
%A S. S. Artemiev
%A A. A. Ivanov
%T Analysis of the effect of random noise on the strange attractors of Monte Carlo on a~supercomputer
%J Sibirskij žurnal vyčislitelʹnoj matematiki
%D 2015
%P 121-134
%V 18
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJVM_2015_18_2_a1/
%G ru
%F SJVM_2015_18_2_a1
S. S. Artemiev; A. A. Ivanov. Analysis of the effect of random noise on the strange attractors of Monte Carlo on a~supercomputer. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 18 (2015) no. 2, pp. 121-134. http://geodesic.mathdoc.fr/item/SJVM_2015_18_2_a1/