Strong isochronous Newton's systems with quadratic with respect to speed power function
Trudy Instituta matematiki, Tome 14 (2006) no. 1, pp. 30-35.

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The coefficient criteria of a strong isochronicity of the Newton's system with quadratic with respect to speed power function is obtained.
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V. V. Amel'kin; O. B. Korsantia. Strong isochronous Newton's systems with quadratic with respect to speed power function. Trudy Instituta matematiki, Tome 14 (2006) no. 1, pp. 30-35. http://geodesic.mathdoc.fr/item/TIMB_2006_14_1_a3/

[1] Volokitin E.P., Ivanov V.V., “Izokhronnost i kommutiruemost polinomialnykh vektornykh polei”, Sib. mat. zhurn., 40:1 (1999), 30–48 | MR | Zbl

[2] Amelkin V.V., Korsantiya O.B., “Izokhronnye i silno izokhronnye kolebaniya dvumernykh monodromnykh golomorfnykh dinamicheskikh sistem”, Differents. uravneniya, 42:2 (2006), 147–152 | MR

[3] Amelkin V.V., “Silnaya izokhronnost sistemy Lenara”, Differents. uravneniya, 42:5 (2006), 579–582 | MR

[4] Kukles I.S., Piskunov N.S., “Ob izokhronnosti kolebanii dlya konservativnykh i nekonservativnykh sistem”, Dokl. AN SSSR, 17:9 (1937), 467–470

[5] Rudenok A.E., “Silnaya izokhronnost tsentra. O periodakh predelnykh tsiklov sistemy Lenara”, Differents. uravneniya, 11:5 (1975), 811–819 | MR | Zbl

[6] Amelkin V.V., Korsantiya O.B., “Usloviya silnoi izokhronnosti 4-go poryadka odnoi sistemy Nyutona”, Materialy mezhdunar. konf. “Differentsialnye uravneniya i sistemy kompyuternoi algebry (DE CAS' 2005)”, Ch. 1, Minsk, 2005, 36–42