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First integrals in a cubic differential system with one invariant straight line and one invariant cubic

open access: yesActa et Commentationes: Ştiinţe Exacte şi ale Naturii, 2023
In this paper we find conditions for a singular point O(0, 0) of a center or a focus type to be a center, in a cubic differential system with one invariant straight line and one invariant cubic.
Dumitru Cozma
doaj   +2 more sources

Center conditions for a cubic differential system with one invariant straight line and one invariant conic

open access: yesActa et Commentationes: Ştiinţe Exacte şi ale Naturii
In this work we find the center conditions for a cubic system of differential equations with a critical point of a center or a focus type having one invariant straight line and one invariant conic. The center-focus problem is studied by using the Darboux
Dumitru Cozma
doaj   +4 more sources

CENTER CONDITIONS FOR A CUBIC DIFFERENTIAL SYSTEM WITH ONE INVARIANT STRAIGHT LINE

open access: yesActa et Commentationes: Ştiinţe Exacte şi ale Naturii, 2020
We find conditions for a singular point
Dumitru COZMA, Angela MATEI
doaj   +2 more sources

Cubic systems with invariant affine straight lines of total parallel multiplicity seven

open access: yesElectronic Journal of Differential Equations, 2013
In this article, we study the planar cubic differential systems with invariant affine straight lines of total parallel multiplicity seven. We classify these system according to their geometric properties encoded in the configurations of invariant ...
Alexandru Suba   +2 more
doaj   +3 more sources

Quadratic systems with invariant straight lines of total multiplicity two having Darboux invariants [PDF]

open access: yesCommunications in Contemporary Mathematics, 2021
In this paper, we present the global phase portraits in the Poincaré disc of the planar quadratic polynomial systems which admit invariant straight lines with total multiplicity two and Darboux invariants.
Jaume Llibre, Regilene D. S. Oliveira
openaire   +7 more sources

The family of cubic differential systems with two real and two complex distinct infinite singularities and invariant straight lines of the type $(3,1,1,1)$

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2023
In this article we consider the class $\textbf{CSL}_7^{2r2c \infty}$ of non-degenerate real planar cubic vector fields, which possess two real and two complex distinct infinite singularities and invariant straight lines of total multiplicity 7, including
Cristina Bujac   +2 more
doaj   +1 more source

Evaluation of the Noise Immunity of the MIAM Communication System

open access: yesProceedings of the International Conference on Applied Innovations in IT, 2021
The article proposes a modification of the known invariant amplitude modulation that transmits the values of information elements by the ratio of the lengths of the signal vectors lying on a straight line passing through the origin of the coordinate ...
Ivan Pavlov   +4 more
doaj   +1 more source

A REVIEW OF THE ONE-PARAMETER DIVISION UNDISTORTION MODEL [PDF]

open access: yesISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2021
The one-parameter division undistortion model by (Lenz, 1987) and (Fitzgibbon, 2001) is a simple radial distortion model with beneficial algebraic properties that allows to reason about some problems analytically that can only be handled numerically in ...
B. Erdnüß, B. Erdnüß
doaj   +1 more source

On the number of invariant straight lines for polynomial differential systems [PDF]

open access: yesPacific Journal of Mathematics, 1998
Let \(\alpha(n)\) be the maximum number of invariant straight lines possible in a polynomial differential system of degree \(n>1\) having finitely many invariant straight lines. By using a method in graph theory developed by the second author, the remarkable result: \(\alpha(5)= 14\) (together with many upper and lower bounds for \(\alpha(6),\alpha(7),\
Artés, Joan C.   +2 more
openaire   +2 more sources

Cubic Kolmogorov system with invariant straight lines

open access: yesNonlinear Analysis: Theory, Methods & Applications, 2001
47
Saez, E, Szanto, I, Gonzalez-Olivares, E
openaire   +4 more sources

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