Quadratic vector fields with invariant algebraic curve of large degree

R. Ramirez; N. Sadovskaia

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arXiv · 0904.4189

Quadratic vector fields with invariant algebraic curve of large degree

R. Ramirez·N. Sadovskaia

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Abstract

We construct a polynomial planar vector field of degree two with one invariant algebraic curves of large degree. We exhibit an explicit quadratic vector fields which invariant curves of degree nine, twelve, fifteen and eighteen degree.

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BibTeX RIS

R. Ramirez, N. Sadovskaia. 2009-04-30. Quadratic vector fields with invariant algebraic curve of large degree. https://arxiv.org/abs/0904.4189

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