Geodesic
Existence of a complex closed trajectory in a three-dimensional dynamical system
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 8, pp. 1449-1456

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The DN-tracking method is used to prove the existence of a closed trajectory in a quadratic system of ordinary differential equations in three dimensions. 
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A. A. Azamov; O. S. Akhmedov. Existence of a complex closed trajectory in a three-dimensional dynamical system. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 8, pp. 1449-1456. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_8_a7/