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On the existence of limit cycles in motion field

✍ Scribed by F. Aicardi

Publisher
Springer-Verlag
Year
1989
Tongue
English
Weight
610 KB
Volume
62
Category
Article
ISSN
0340-1200

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✦ Synopsis

In this paper we show the existence of limit cycles in the vector field generated by the perspective projection on the image plane of the velocity field of a moving surface. The existence of limit cycles is proved with the Poincar6-Bendixon theorem, in the case of a rotating smooth non-planar surface and illustrated with computer graphics. The structural stability of the limit cycles is also discussed.

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