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Transformation of polynomial differential systems in the positive orthant

Abstract : We study polynomial n-dimensional differential systems when the (n-dimensional) variable keeps the same sign; that is, the system is defined inside one of the orthants. We show it is always possible to transform the system into a quadratic Lotka-Volterra type system. We give several tools to study these last systems; we deduce indications on the global behaviour of the original system.
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https://hal.inria.fr/inria-00075251
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Submitted on : Wednesday, May 24, 2006 - 5:49:13 PM
Last modification on : Friday, February 4, 2022 - 3:15:43 AM
Long-term archiving on: : Tuesday, April 12, 2011 - 10:06:47 PM

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  • HAL Id : inria-00075251, version 1

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Jean-Luc Gouzé. Transformation of polynomial differential systems in the positive orthant. [Research Report] RR-1308, INRIA. 1990, pp.10. ⟨inria-00075251⟩

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