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Abelian integrals for cubic vector fields.
- Source :
- Annali di Matematica Pura ed Applicata; Dec1999, Vol. 176 Issue 1, p251-272, 22p
- Publication Year :
- 1999
-
Abstract
- It is proved in this paper that the lowest upper bound of the number of the isolated zeros of the Abelian integral is two for h∈(−1/12, 0), where Γ<subscript>h</subscript> is the compact component of H(x, y)=(1/2) y<superscript>2</superscript>+(1/3) x<superscript>3</superscript>+(1/4) x<superscript>4</superscript>=h, and α, β, γ are arbitrary constants. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03733114
- Volume :
- 176
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Annali di Matematica Pura ed Applicata
- Publication Type :
- Academic Journal
- Accession number :
- 49946544
- Full Text :
- https://doi.org/10.1007/BF02505998