On periodic solutions of the four-dimensional differential system of Lyapunov-Darboux type with quadratic nonlinearities
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2023-03-14 19:47
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ORLOV, Victor, POPA, Mihail. On periodic solutions of the four-dimensional differential system of Lyapunov-Darboux type with quadratic nonlinearities. In: Conference of Mathematical Society of the Republic of Moldova, 28 iunie - 2 iulie 2017, Chişinău. Chişinău: Centrul Editorial-Poligrafic al USM, 2017, 4, pp. 311-316. ISBN 978-9975-71-915-5.
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Conference of Mathematical Society of the Republic of Moldova
4, 2017
Conferința "Conference of Mathematical Society of the Republic of Moldova"
Chişinău, Moldova, 28 iunie - 2 iulie 2017

On periodic solutions of the four-dimensional differential system of Lyapunov-Darboux type with quadratic nonlinearities

Pag. 311-316

Orlov Victor12, Popa Mihail2
 
1 Technical University of Moldova,
2 Institute of Mathematics and Computer Science ASM
 
Disponibil în IBN: 5 octombrie 2017


Rezumat

For the four-dimensional differential system of LyapunovDarboux type with quadratic nonlinearities, we have found a holomorphic integral of Lyapunov type. Using this integral and the Lyapunov theorem, we have obtained centro-affine invariant conditions for stability of unperturbed periodic motion.

Cuvinte-cheie
differential system, stability of unperturbed motion,

center-affine comitant