Entsprechendes gilt auch sonst für durch Vektorfelder beschriebene dynamische Systeme auf Flächen: die qualitativen Eigenschaften (also z.B. ob es geschlossene Orbits gibt, ob ein Orbit gegen einen anderen Orbit konvergiert, etc) hängen nicht davon ab, wie die Fläche im Raum liegt, sondern nur von der Topologie der Fläche und des Vektorfeldes. Man darf also bei einer sphärischen Fläche (z.B. einer Kuh) durchaus annehmen, daß diese rund und symmetrisch ist.

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