Global behaviour of polynomial differential systems in the positive orthant

Abstract : We study polynomial n-dimensional differential systems defined in the positive orthant. By using tools from positivity and functions that decrease along the trajectories, we give sufficient conditions for a regular global behaviour: that is, all the trajectories eiter converge towards the equilibria or are unbounded. We also give results on global stability or unstability in some cases.
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Rapport
[Research Report] RR-1345, INRIA. 1990, pp.11
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https://hal.inria.fr/inria-00075214
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Soumis le : mercredi 24 mai 2006 - 17:45:05
Dernière modification le : samedi 27 janvier 2018 - 01:31:05
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Jean-Luc Gouzé. Global behaviour of polynomial differential systems in the positive orthant. [Research Report] RR-1345, INRIA. 1990, pp.11. 〈inria-00075214〉

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