Dynamical systems with several equilibria and natural Liapunov functions

Vladimir Răsvan

Archivum Mathematicum (1998)

  • Volume: 034, Issue: 1, page 207-215
  • ISSN: 0044-8753

Abstract

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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.

How to cite

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Răsvan, Vladimir. "Dynamical systems with several equilibria and natural Liapunov functions." Archivum Mathematicum 034.1 (1998): 207-215. <http://eudml.org/doc/248198>.

@article{Răsvan1998,
abstract = {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.},
author = {Răsvan, Vladimir},
journal = {Archivum Mathematicum},
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; equilibria; qualitative behaviour; Lyapunov functions},
language = {eng},
number = {1},
pages = {207-215},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Dynamical systems with several equilibria and natural Liapunov functions},
url = {http://eudml.org/doc/248198},
volume = {034},
year = {1998},
}

TY - JOUR
AU - Răsvan, Vladimir
TI - Dynamical systems with several equilibria and natural Liapunov functions
JO - Archivum Mathematicum
PY - 1998
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 034
IS - 1
SP - 207
EP - 215
AB - 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.
LA - eng
KW - 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; equilibria; qualitative behaviour; Lyapunov functions
UR - http://eudml.org/doc/248198
ER -

References

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