Quadratic vector fields with invariant algebraic curve of large degree

Details Quadratic vector fields with invariant algebraic curve of large degree Quadratic vector fields with invariant algebraic curve of large degree

2009-04-27

arxiv.org/abs/0904.4189v4

Mathematics

Dynamical Systems

Scientific paper

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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