Geodesic
On closedness of curves with periodic curvature
Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 2, pp. 477-483.

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We consider some class of curves with periodic curvature, given by the following formula: $k=a\sin^2 t$. We give the equations of this curve and the values of $a$, corresponding to closed curves. 
@article{FPM_2000_6_2_a8,
     author = {V. O. Manturov},
     title = {On closedness of curves with periodic curvature},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {477--483},
     publisher = {mathdoc},
     volume = {6},
     number = {2},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a8/}
}
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V. O. Manturov. On closedness of curves with periodic curvature. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 2, pp. 477-483. http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a8/