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Reports (Research Report) Year : 1990

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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Other [cs.OH]
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Dates and versions

inria-00075251 , version 1 (24-05-2006)

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  • HAL Id : inria-00075251 , version 1

Cite

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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