Abstract
Some homoclinic cycles in R 4 with symmetry groups contained in SO(4) have already appeared in the literature. These cycles have 2, 3, 6, 8, 12, or 24 equilibria. In this Note we show that this classification is complete using a result in diophantine trigonometric equations with rational angles. To cite this article: N. Sottocornola, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 859–864.
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