Geodesic
Regular and stochastic auto-oscillations in the reological model
Russian journal of nonlinear dynamics, Tome 5 (2009) no. 4, pp. 603-620.

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

This paper is devoted to research of mathematical model of a suspension flow. For these flows, the transitions from stationary to the oscillatory regimes have been observed in experiments. Bifurcation analysis allows us to divide the space of parameters onto steady equilibria and limit cycles zones. Details of Hopf bifurcation depending on degree of system stiffness are investigated. On the basis of the stochastic sensitivity function technique, the parametrical analysis of influence of random disturbances on the system attractors is carried out. It is shown that as a system stiffness increases, the stochastic sensitivity of oscillations rises sharply. The narrow zone of super-sensitivity of oscillations was found. In this zone, even small background disturbances result in the essential fluctuations of their amplitude.
Keywords: reology, stability, sensitivity
Mots-clés : suspension, stochastic oscillations. 
@article{ND_2009_5_4_a10,
     author = {I. A. Bashkirtseva and A. Yu. Zubarev and L. Yu. Iskakova and L. B. Ryashko},
     title = {Regular and stochastic auto-oscillations in the reological model},
     journal = {Russian journal of nonlinear dynamics},
     pages = {603--620},
     publisher = {mathdoc},
     volume = {5},
     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2009_5_4_a10/}
}
TY  - JOUR
AU  - I. A. Bashkirtseva
AU  - A. Yu. Zubarev
AU  - L. Yu. Iskakova
AU  - L. B. Ryashko
TI  - Regular and stochastic auto-oscillations in the reological model
JO  - Russian journal of nonlinear dynamics
PY  - 2009
SP  - 603
EP  - 620
VL  - 5
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ND_2009_5_4_a10/
LA  - ru
ID  - ND_2009_5_4_a10
ER  - 
%0 Journal Article
%A I. A. Bashkirtseva
%A A. Yu. Zubarev
%A L. Yu. Iskakova
%A L. B. Ryashko
%T Regular and stochastic auto-oscillations in the reological model
%J Russian journal of nonlinear dynamics
%D 2009
%P 603-620
%V 5
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ND_2009_5_4_a10/
%G ru
%F ND_2009_5_4_a10
I. A. Bashkirtseva; A. Yu. Zubarev; L. Yu. Iskakova; L. B. Ryashko. Regular and stochastic auto-oscillations in the reological model. Russian journal of nonlinear dynamics, Tome 5 (2009) no. 4, pp. 603-620. http://geodesic.mathdoc.fr/item/ND_2009_5_4_a10/