title: On the existence of limit cycles in motion field.
abstract: 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.
authors.affiliation: Istituto Ricerca Scientifica e Tecnologica, Povo, Trento, Italy.
authors.forename: F
authors.initials: F
authors.lastname: Aicardi
mesh_terms: D003198:Computer Simulation; D009038:Motion