Conditions for existence of relaxation oscillations in singular systems of low dimension
Sibirskij žurnal industrialʹnoj matematiki, Tome 8 (2005) no. 3, pp. 87-92

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

Relaxation oscillations are studied in a singularly perturbed system of ordinary differential equations with $m$ slow and $n$ fast variables for the case of $m=2$ and $n=1$. Necessary conditions and sufficient conditions for existence of relaxation oscillations are given.
@article{SJIM_2005_8_3_a9,
     author = {L. I. Kononenko},
     title = {Conditions for existence of relaxation oscillations in singular systems of low dimension},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {87--92},
     publisher = {mathdoc},
     volume = {8},
     number = {3},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2005_8_3_a9/}
}
TY  - JOUR
AU  - L. I. Kononenko
TI  - Conditions for existence of relaxation oscillations in singular systems of low dimension
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2005
SP  - 87
EP  - 92
VL  - 8
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2005_8_3_a9/
LA  - ru
ID  - SJIM_2005_8_3_a9
ER  - 
%0 Journal Article
%A L. I. Kononenko
%T Conditions for existence of relaxation oscillations in singular systems of low dimension
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2005
%P 87-92
%V 8
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2005_8_3_a9/
%G ru
%F SJIM_2005_8_3_a9
L. I. Kononenko. Conditions for existence of relaxation oscillations in singular systems of low dimension. Sibirskij žurnal industrialʹnoj matematiki, Tome 8 (2005) no. 3, pp. 87-92. http://geodesic.mathdoc.fr/item/SJIM_2005_8_3_a9/