Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4668808 | Bulletin des Sciences Mathématiques | 2014 | 18 Pages |
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.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Jaume Llibre, Sebastian Walcher, Xiang Zhang,