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

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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 
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     title = {Dynamical systems with several equilibria and natural {Liapunov} functions},
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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/