On the existence of limit cycles in motion field.
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 Poincaré-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.
Aicardi
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Istituto Ricerca Scientifica e Tecnologica, Povo, Trento, Italy.
D003198:Computer Simulation; D009038:Motion