Results 31 to 40 of about 9,260 (251)
Differential Equations for Approximate Solutions of Painlevé Equations: Application to the Algebraic Solutions of the Painlevé-III $({\rm D}_7)$ Equation [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2023 It is well known that the Painlevé equations can formally degenerate to autonomous differential equations with elliptic function solutions in suitable scaling limits.
R. Buckingham, P. Miller
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On the Relationship Between Differential Algebra and Tropical Differential Algebraic Geometry [PDF]
, 2021 This paper presents the relationship between differential algebra and tropical differential algebraic geometry, mostly focusing on the existence problem of formal power series solutions for systems of polynomial ODE and PDE. Moreover, it improves an approximation theorem involved in the proof of the fundamental theorem of tropical differential ...
Boulier, François +3 more
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Algebraic aspects of hypergeometric differential equations [PDF]
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2020 We review some classical and modern aspects of hypergeometric differential equations, including A-hypergeometric systems of Gel′\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{
Thomas Reichelt +3 more
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Differential-algebraic systems are generically controllable and stabilizable
MCSS. Mathematics of Control, Signals and Systems, 2021 We investigate genericity of various controllability and stabilizability concepts of linear, time-invariant differential-algebraic systems. Based on well-known algebraic characterizations of these concepts (see the survey article by Berger and Reis (in ...
A. Ilchmann, Jonas Kirchhoff
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Intersection theory in differential algebraic geometry: Generic intersections and the differential Chow form [PDF]
Transactions of the American Mathematical Society, 2010 In this paper, an intersection theory for generic differential polynomials is presented. The intersection of an irreducible differential variety of dimension d d and order h h with a generic differential hypersurface of order s ...
X. Gao, Wei Li, C. Yuan
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Differential Signatures of Algebraic Curves [PDF]
SIAM Journal on applied algebra and geometry, 2018 In this paper, we adapt the differential signature construction to the equivalence problem for complex plane algebraic curves under the actions of the projective group and its subgroups.
I. Kogan, Michael Ruddy, C. Vinzant
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Rationality in Differential Algebraic Geometry [PDF]
, 2015 Abel Symposium ...
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Twisted Quadrics and Algebraic Submanifolds in $\mathbb {R}^{n}$ [PDF]
Mathematical physics, analysis and geometry, 2020 We propose a general procedure to construct noncommutative deformations of an algebraic submanifold M of $\mathbb {R}^{n}$ ℝ n , specializing the procedure [G. Fiore, T.
G. Fiore, D. Franco, T. Weber
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Noncommutative Differential Geometry of Generalized Weyl Algebras [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2016 Elements of noncommutative differential geometry of ${\mathbb Z}$-graded generalized Weyl algebras ${\mathcal A}(p;q)$ over the ring of polynomials in two variables and their zero-degree subalgebras ${\mathcal B}(p;q)$, which themselves are generalized Weyl algebras over the ring of polynomials in one variable, are discussed.
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Advanced Engineering Materials, EarlyView.In this study, exciting new bi‐/multi‐linear elastic behavior of soft elastic composites that accompany the activation of wrinkling in the embedded interfacial layers is analyzed. The new features and performance of these composite materials, including dramatic enhancements in energy storage, can be tailored by the concentration of interfacial layers ...
Narges Kaynia +2 more
wiley +1 more source