Darboux polynomials and global phase portraits for the D2 vector field
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DOI: 10.1016/j.jmaa.2018.12.043
Abstract: We study a vector field of R^3 equivariant under the D_2 symmetry group, called "the D_2 field" in the literature. We construct the complete list of Darboux polynomials for it, solving the partial differential equation… read more here.
Keywords: vector field; field; polynomials global; global phase ... See more keywords
Darboux polynomials, balances and Painlevé property
Sign Up to like & getrecommendations! Published in 2017 at "Regular and Chaotic Dynamics"
DOI: 10.1134/s1560354717050057
Abstract: For a given polynomial differential system we provide different necessary conditions for the existence of Darboux polynomials using the balances of the system and the Painlevé property. As far as we know, these are the… read more here.
Keywords: balances painlev; painlev property; property; polynomials balances ... See more keywords