Splitting of separatrices in plane convex billiards that correspond to domains of the form $X^{2n}+Y^{2n}\le1$, $n\ge2$
Algebra i analiz, Tome 9 (1997) no. 1, pp. 213-237.

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     title = {Splitting of separatrices in plane convex billiards that correspond to domains of the form $X^{2n}+Y^{2n}\le1$, $n\ge2$},
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Yu. B. Yanushanets. Splitting of separatrices in plane convex billiards that correspond to domains of the form $X^{2n}+Y^{2n}\le1$, $n\ge2$. Algebra i analiz, Tome 9 (1997) no. 1, pp. 213-237. http://geodesic.mathdoc.fr/item/AA_1997_9_1_a8/