Geodesic
Number of limit cycles of the~quotient system of the $n$-dimensional Fuller problem
Sbornik. Mathematics, Tome 187 (1996) no. 12, pp. 1737-1753

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The number of limit cycles of the quotient system of the $n$-dimensional Fuller problem (that is, the number of one-parameter families of self-similar solutions of the equation $y^{(2n)}=(-1)^{n+1}\operatorname {sgn}y$) is proved to be equal to $[n/2]$. 
@article{SM_1996_187_12_a0,
     author = {V. F. Borisov},
     title = {Number of limit cycles of the~quotient system of the $n$-dimensional {Fuller} problem},
     journal = {Sbornik. Mathematics},
     pages = {1737--1753},
     publisher = {mathdoc},
     volume = {187},
     number = {12},
     year = {1996},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1996_187_12_a0/}
}
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V. F. Borisov. Number of limit cycles of the~quotient system of the $n$-dimensional Fuller problem. Sbornik. Mathematics, Tome 187 (1996) no. 12, pp. 1737-1753. http://geodesic.mathdoc.fr/item/SM_1996_187_12_a0/