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arxiv: 1504.04258 · v1 · pith:TVGJQJWRnew · submitted 2015-04-16 · 🧮 math.DS

A countable number of homoclinic loops as an {ω}-limit set for a planar vector field

classification 🧮 math.DS
keywords countablefieldhomocliniclimitloopsnumberomegaplanar
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We construct an example of a smooth, non analytic planar vector field with an {\omega}-limit set consisting of a countable number of homoclinic loops.

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