Local Darboux first integrals of analytic differential systems

Sebastian Walcher; Jaume Llibre; Xiang Zhang

doi:10.1016/j.bulsci.2013.09.007

Local Darboux first integrals of analytic differential systems

Sebastian Walcher, Jaume Llibre, Xiang Zhang

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

8 Citations (Scopus)

Abstract

We discuss local and formal Darboux first integrals of analytic differential systems, using the theory of Poincaré-Dulac normal forms, and we study the effect of local Darboux integrability on analytic normalization. Moreover we determine local restrictions on classical Darboux integrability of polynomial systems. © 2013 Elsevier Masson SAS.

Original language	English
Pages (from-to)	71-88
Journal	Bulletin des Sciences Mathematiques
Volume	138
Issue number	1
DOIs	https://doi.org/10.1016/j.bulsci.2013.09.007
Publication status	Published - 1 Jan 2014

Keywords

Polynomial differential system
Analytic differential system
Local Darboux first integral
Poincaré-Dulac normal form

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10.1016/j.bulsci.2013.09.007

https://ddd.uab.cat/record/150739

Cite this

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KW - Local Darboux first integral

KW - Poincaré-Dulac normal form

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Local Darboux first integrals of analytic differential systems

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Keywords

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