Results 81 to 90 of about 185,528 (178)
Quartic differential systems with an invariant straight line of maximal multiplicity
Summary: In this work we show that in the class of quartic differential systems the maximal algebraic multiplicity \(M_a\) of an invariant straight line is equal to 10.
Şubă, A.S., Vacaraş, O.V.
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Book Review: Integrability of Cubic Systems with Invariant Straight Lines and Invariant Conics [PDF]
Mitrofan Choban, Alexandru Șubă
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Inversion of the Photon Number Integral
We consider the behavior of the photon number integral under inversion, concentrating on euclidean space. The discussion may be framed in terms of an additive differential $I$ which arises under inversions.
Stodolsky, L.
core
Teoria generală a P-simetriei este folosită pentru a extinde grupurile hemisimorfe liniare cristalografice tridimensionale cu P-simetriile de rozetă. În lucrare sunt prezentate lista completă a P-simetriilor minore de rozetă şi caracteristicile numerice ...
USM ADMIN
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Cubic differential systems with an invariant straight line of maximal multiplicity
In this work the estimation 3n-2 le;Man le; 3n -1 of maximal algebraic multiplicity Man of an invariant straight line is obtained for two-dimensional polynomial diffierential systems of degree n ge;2. In the class of cubic systems n = 3 we have Ma3 = 7: Moreover, we prove that if an affine real invariant straight line has multiplicity equal to 1 ...
Şubă, A.S., Vacaraş, O.V.
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Teoria generală a P-simetriei este folosită pentru a extinde grupurile simorfe liniare cristalografice tridimensionale cu P-simetriile de rozetă. În lucrare sunt prezentate lista completă a P-simetriilor minore de rozetă şi caracteristicile numerice ...
USM ADMIN
doaj
Center conditions for a cubic system with two invariant straight lines and one invariant cubic
We consider the cubic di_erential system of the formx_ = y + ax2 + cxy - y2 + [a - 1p + c - b + g]x3++[b - pp + c - b - a - n - 1]x2y + pxy2;y_ = -x - gx2 - dxy - by2 + a - 1d + n - 1x3++[b - pd + n + 1 - g]x2y + nxy2 + by3;1where the variables x = xt; y = yt and coe_cients a; b; c; d; g; p; n are assumed to be real. Theorigin O0; 0 is a singular point
Cozma, D.V., Cozma, D., Dascalescu, A.
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Planar quadratic differential systems with invariant straight lines of the total multiplicity 4
In this article we consider the action of affine group and time rescaling on planar quadratic differential systems. We construct a system of representatives of the orbits of systems with four invariant lines, including the line at infinity and including multiplicities. For each orbit we exhibit its configuration.
Schlomiuk, Dana, Vulpe, Nicolae
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Darboux integrability of a cubic differential system with two parallel invariant straight lines
In this paper we prove the Darboux integrability of a cubic differential system with a singular point of a center typer having at least two parallel invariant straight lines.
Cozma, D.V., Cozma, D.
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Fifth degree differential system with an invariant straight line of maximal multiplicity
We consider the real polynomial system of differential equations.
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