Geodesic
Dynamical systems with several equilibria and natural Liapunov functions
Archivum mathematicum, Tome 34 (1998) no. 1, pp. 207-215

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Dynamical systems with several equilibria occur in various fields of science and engineering: electrical machines, chemical reactions, economics, biology, neural networks. As pointed out by many researchers, good results on qualitative behaviour of such systems may be obtained if a Liapunov function is available. Fortunately for almost all systems cited above the Liapunov function is associated in a natural way as an energy of a certain kind and it is at least nonincreasing along systems solutions.
Classification : 34C11, 34C99, 34D20, 37-99
Keywords: Several equilibria; qualitative behaviour; Liapunov function Introduction Dynamical systems with several equilibria occur in various fields of science and engineering: electrical machines; chemical reactions; economics; biology; neural networks 
@article{ARM_1998__34_1_a19,
     author = {R\u{a}svan, Vladimir},
     title = {Dynamical systems with several equilibria and natural {Liapunov} functions},
     journal = {Archivum mathematicum},
     pages = {207--215},
     publisher = {mathdoc},
     volume = {34},
     number = {1},
     year = {1998},
     mrnumber = {1629709},
     zbl = {0915.34043},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1998__34_1_a19/}
}
TY  - JOUR
AU  - Răsvan, Vladimir
TI  - Dynamical systems with several equilibria and natural Liapunov functions
JO  - Archivum mathematicum
PY  - 1998
SP  - 207
EP  - 215
VL  - 34
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ARM_1998__34_1_a19/
LA  - en
ID  - ARM_1998__34_1_a19
ER  - 
%0 Journal Article
%A Răsvan, Vladimir
%T Dynamical systems with several equilibria and natural Liapunov functions
%J Archivum mathematicum
%D 1998
%P 207-215
%V 34
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ARM_1998__34_1_a19/
%G en
%F ARM_1998__34_1_a19
Răsvan, Vladimir. Dynamical systems with several equilibria and natural Liapunov functions. Archivum mathematicum, Tome 34 (1998) no. 1, pp. 207-215. http://geodesic.mathdoc.fr/item/ARM_1998__34_1_a19/