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Topological classification of limit periodic sets of polynomial planar vector fields - MaRDI portal

Topological classification of limit periodic sets of polynomial planar vector fields (Q1732279)

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Topological classification of limit periodic sets of polynomial planar vector fields
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    Topological classification of limit periodic sets of polynomial planar vector fields (English)
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    22 March 2019
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    This paper characterizes the limit periodic sets of families of algebraic planar vector fields up to homeomorphisms. They show that any compact and connected semialgebraic set of the sphere of dimension 0 or 1 can be realized as a limit periodic set. The tools used in this paper is not new but the paper is a bit too computationally intensive.
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    limit periodic sets
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    ordinary differential equations
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    semi-algebraic sets
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