A class of polynomial planar vector fields with polynomial first integral
comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadata
Title
A class of polynomial planar vector fields with polynomial first integralDate
2015-10Publisher
ElsevierBibliographic citation
Ferragut, A., Galindo, C., & Monserrat, F. (2015). A class of polynomial planar vector fields with polynomial first integral. Journal of Mathematical Analysis and Applications, 430(1), 354-380.Type
info:eu-repo/semantics/articlePublisher version
http://www.sciencedirect.com/science/article/pii/S0022247X15003935Version
info:eu-repo/semantics/publishedVersionSubject
Abstract
We give an algorithm for deciding whether a planar polynomial differential system has a first integral which factorizes as a product of defining polynomials of curves with only one place at infinity. In the affirmative ... [+]
We give an algorithm for deciding whether a planar polynomial differential system has a first integral which factorizes as a product of defining polynomials of curves with only one place at infinity. In the affirmative case, our algorithm computes a minimal first integral. In addition, we solve the Poincaré problem for the class of systems which admit a polynomial first integral as above in the sense that the degree of the minimal first integral can be computed from the reduction of singularities of the corresponding vector field. [-]
Is part of
Journal of Mathematical Analysis and Applications Volume 430, Issue 1, 1 October 2015Rights
Copyright © 2015 Elsevier Inc. All rights reserved.
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info:eu-repo/semantics/openAccess
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info:eu-repo/semantics/openAccess
This item appears in the folowing collection(s)
- MAT_Articles [751]