Geodesic
Invariant conditions of stability of unperturbed motion governed by critical differential systems $s(1,2,3)$
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2019), pp. 137-153.

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The center-affine invariant conditions of stability of unperturbed motion governed by critical differential systems $s(1,2,3)$ were obtained. 
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Natalia Neagu; Victor Orlov; Mihail Popa. Invariant conditions of stability of unperturbed motion governed by critical differential systems $s(1,2,3)$. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2019), pp. 137-153. http://geodesic.mathdoc.fr/item/BASM_2019_2_a8/

[1] Sibirsky K. S., Introduction to the algebraic theory of invariants of differential equations, Nonlinear Science: Theory and Applications, Manchester University Press, 1988 | MR | Zbl

[2] Vulpe N. I., Polynomial bases of comitants of differential systems and their applications in qualitative theory, Ştiinţa, Kishinev, 1986 (in Russian) | MR

[3] Popa M. N., Algebraic methods for differential system, Flower Power, Applied and Industrial Mathematics series of Piteşti University, 15, 2004 (in Romanian) | MR

[4] Gerştega N., Lie algebras for the three-dimensional differential system and applications, Synopsis of PhD thesis, Chişinău, 2006 (in Russian)

[5] Diaconescu O., Lie algebras and invariant integrals for polynomial differential systems, Synopsis of PhD thesis, Chişinău, 2008 (in Russian)

[6] Neagu N., Cozma D., Popa M. N., “Invariant methods for studying stability of unperturbed motion in ternary differential systems with polynomial nonlinearities”, Bukovinian Mathematical Journal, Chernivtsi Nat. Univ., 4:3–4 (2016), 133–139 | Zbl

[7] Neagu N., Orlov V., Popa M. N., “Invariant conditions of stability of unperturbed motion governed by some differential systems in the plane”, Bul. Acad. Ştiinţe Repub. Moldova, Mat., 2017, no. 3(85), 88–106 | MR | Zbl

[8] Neagu N., Lie algebras and invariants for differential systems with projections on some mathematical models, Synopsis of PhD thesis, Chişinău, 2018 (in Romanian)

[9] Neagu N., Orlov V., “Center-affine invariant conditions of stability of unperturbed motion for differential system $s(1,2,3)$ with quadratic part of Darboux type”, Acta et Commentationes. Exact and Natural Sciences, 2018, no. 2(6), This issue is dedicated to the 70th anniversary of Professor Mihail Popa, Chişinău, 51–59

[10] Orlov V., “Invariant conditions of stability of motion for some four-dimensional differential systems”, Acta et Commentationes. Exact and Natural Sciences, 2018, no. 2(6), This issue is dedicated to the 70th anniversary of Professor Mihail Popa, Chişinău, 78–91

[11] Popa M. N., Pricop V. V., The Center-Focus Problems Algebraic Solutions and Hypotheses, Academy of Science of Moldova, 2018 (in Russian) | MR

[12] Lyapunov A. M., The general problem on stability of motion, Collection of works, v. II, Izd. Acad. Nauk SSSR, M.–L., 1956 (in Russian) | MR

[13] Gurevich G. B., Fondations of the Theory of Algebraic Ivariants, Nordhoff, Croningen, 1964 | MR

[14] Calin Iu., “On rational bases of $GL(2, \mathbb{R}$ — comitants of planar polynomial systems of differential equations”, Bul. Acad. Ştiinţe Repub. Moldova. Mat., 2003, no. 2(42), 69–86 | MR | Zbl

[15] Calin Iu., Orlov V., “A rational basis of $GL(2, \mathbb{R})$ – comitants for the bidimensional polynomial system of differential equations of the fifth degree”, The 26th Conference on Applied and Industrial Mathematics, CAIM 2018 (20–23 September, 2018), Technical University of Moldova, Chişinău, Moldova, 2018, 27–29