Results 1 to 10 of about 185,528 (178)
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
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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
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CENTER CONDITIONS FOR A CUBIC DIFFERENTIAL SYSTEM WITH ONE INVARIANT STRAIGHT LINE
We find conditions for a singular point
Dumitru COZMA, Angela MATEI
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Cubic systems with invariant affine straight lines of total parallel multiplicity seven
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
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Quadratic systems with invariant straight lines of total multiplicity two having Darboux invariants [PDF]
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
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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
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Evaluation of the Noise Immunity of the MIAM Communication System
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
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A REVIEW OF THE ONE-PARAMETER DIVISION UNDISTORTION MODEL [PDF]
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
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On the number of invariant straight lines for polynomial differential systems [PDF]
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
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Cubic Kolmogorov system with invariant straight lines
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Saez, E, Szanto, I, Gonzalez-Olivares, E
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