Results 1 to 10 of about 81,984 (133)
On a class of invariant algebraic curves for Kukles systems
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper we give a new upper bound for the degree of a class of transversal to infinity invariant algebraic curves for polynomial Kukles systems of arbitrary degree.
Osvaldo Osuna +2 more
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Invariant Algebraic Curves of Generalized Liénard Polynomial Differential Systems
Mathematics, 2022 In this study, we focus on invariant algebraic curves of generalized Liénard polynomial differential systems x′=y, y′=−fm(x)y−gn(x), where the degrees of the polynomials f and g are m and n, respectively, and we correct some results previously stated.
Jaume Giné, Jaume Llibre
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Algebraic Multiplicity and the Poincaré Problem [PDF]
, 2023 In this paper we derive an upper bound for the degree of the strict invariant algebraic curve of a polynomial system in the complex project plane under generic condition.
Jinzhi Lei, Lijun Yang
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On Control Polygons of Planar Sextic Pythagorean Hodograph Curves
Mathematics, 2023 In this paper, we analyze planar parametric sextic curves to determine conditions for Pythagorean hodograph (PH) curves. By expressing the curves to be analyzed in the complex form, the analysis is conducted in algebraic form.
Yujun Li +3 more
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The method of Puiseux series and invariant algebraic curves [PDF]
Communications in Contemporary Mathematics, 2018 An explicit expression for the cofactor related to an irreducible invariant algebraic curve of a polynomial dynamical system in the plane is derived.
M. Demina
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Electronic Journal of Qualitative Theory of Differential Equations, 2021 During the last forty years the theory of integrability of Darboux, in terms of algebraic invariant curves of polynomial systems has been very much extended and it is now an active area of research.
Regilene Oliveira +3 more
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Non-algebraic limit cycles in Holling type III zooplankton-phytoplankton models
Cubo, 2021 We prove that for certain polynomial differential equations in the plane arising from predator-prey type III models with generalized rational functional response, any algebraic solution should be a rational function. As a consequence, limit cycles, which
Homero G. Díaz-Marín, Osvaldo Osuna
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Acta et Commentationes: Ştiinţe Exacte şi ale Naturii, 2023 In this paper for a cubic differential system with a singular point
Dumitru Cozma
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Interactive oracle proofs of proximity to algebraic geometry codes [PDF]
Electron. Colloquium Comput. Complex., 2020 In this work, we initiate the study of proximity testing to Algebraic Geometry (AG) codes. An AG code C = C(X, P, D) over an algebraic curve X is a vector space associated to evaluations on P ⊆ X of functions in the Riemann-Roch space LX (D). The problem
Sarah Bordage +3 more
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The AdS4/CFT3 algebraic curve [PDF]
, 2008 We present the OSp(2, 2|6) symmetric algebraic curve for the AdS4/CFT3 duality recently proposed in arXiv:0806.1218. It encodes all classical string solutions at strong t'Hooft coupling and the full two loop spectrum of long single trace gauge invariant ...
N. Gromov, P. Vieira
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