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On the geometries of the rational unfoldings ofXk

✍ Scribed by Willem Kuyk; Lieven Smits

Book ID
104622723
Publisher
Springer Netherlands
Year
1990
Tongue
English
Weight
540 KB
Volume
19
Category
Article
ISSN
0167-8019

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✦ Synopsis

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 bifurca'Aon 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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