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- W2510237788 abstract "Abstract In this article we establish the following result: if a nondegenerate quadratic endomorphism of the plane has no fixed points, then every point has empty omega-limit set and alpha-limit set. It is also shown that there exists a six parameter family open and dense in the space of all quadratic mappings of the plane (even those having fixed points). The degenerate case (when the quadratic forms of both components are linearly dependent), for which the theorem fails, is considered in the last section." @default.
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- W2510237788 date "2004-02-01" @default.
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- W2510237788 title "On the Quadratic Endomorphisms of the Plane" @default.
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- W2510237788 doi "https://doi.org/10.1515/ans-2004-0103" @default.
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