On the geometries of the rational unfoldings of X
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Authors: | Willem Kuyk Lieven Smits |
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Institution: | (1) RUCA, University of Antwerp, Groenemborgerlaan 171, 2020 Antwerp, Belgium |
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Abstract: | With a view to applications to self-regulating dynamical processes in biology, we determine the geometric structure of what we call isotangent curves , i.e. curves parametrized by the slopes of their points. They come up naturally as bifurcation curves of rational unfoldings of X
k, and we classify them according to degree and number of cusps. They, as well as their isotangent involute curves, turn up in simulations of these processes. |
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Keywords: | 52A10 28A75 26B15 |
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