A Globally Asymptotically Stable Polynomial Vector Field with Rational Coefficients and no Local Polynomial Lyapunov Function
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Abstract (arXiv)
We give an explicit example of a two-dimensional polynomial vector field of degree seven that has rational coefficients, is globally asymptotically stable, but does not admit an analytic Lyapunov function even locally.
Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). First posted on arXiv 16 Mar 2018.
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