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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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https://hal.inria.fr/inria-00075214
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Submitted on : Wednesday, May 24, 2006 - 5:45:05 PM
Last modification on : Friday, February 4, 2022 - 3:17:04 AM
Long-term archiving on: : Tuesday, April 12, 2011 - 9:52:12 PM

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  • HAL Id : inria-00075214, version 1

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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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