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An Introduction to Differential Algebra and the Differential Algebra Manifold Representation
Thirty Years of Astronomical Discovery With UKIRT, 2016Differential Algebra techniques have been used extensively in the past decade to treat various problems in astrodynamics. In this paper we review the Differential Algebra technique and present four different views of the method. We begin with the introduction of the mathematical definition of the technique as a particular algebra of polynomials.
Alexander Wittig
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On Differential Algebraic Systems
IFAC Proceedings Volumes, 1995Abstract This paper presents a behavioral approach to dynamical systems that can be described by algebraic differential equations and inequalities. The differential algebraic system is defined without reference to input-output maps or relations, and without reference to state variables. The fundamental ideas center around the notions of the behavior (
Michalik, J, Willems, JC
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Algebraic invariants and their differential algebras
Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation, 2010We review the algebraic foundations we developed to work with differential invariants of finite dimensional group actions. Those support the algorithms we introduced to operate symmetry reduction with a view towards differential elimination.
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On differential-algebraic problems
Applied Mathematics and Computation, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Kahler Differentials and Differential Algebra
The Annals of Mathematics, 1969The theory of differential modules which is developed in [2] is used here for the study of differential rings containing the rational numbers Q (frequently called Ritt algebras). This is done by introducing differential module structures on certain modules of Kihler differentials.
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DIFFERENTIAL ALGEBRA AND CONTROLLABILITY
IFAC Proceedings Volumes, 1989Abstract The concept of controllability is generally introduced in control theory by means of definitions in the fields of functional analysis and dynamical systems. In the linear case, this concept can be tested by a well known formal criterion based on rank study of the controllability matrix , without any need to integrate the system. By analogy,
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2020
This chapter introduces the basic notion of a differential algebra—an algebra equipped with a bimodule of 1-forms and an exterior derivative. Also the exterior algebra, cohomology, quantum metrics, Laplacians, and many of the key examples that will feature throughout the book.
Edwin J. Beggs, Shahn Majid
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This chapter introduces the basic notion of a differential algebra—an algebra equipped with a bimodule of 1-forms and an exterior derivative. Also the exterior algebra, cohomology, quantum metrics, Laplacians, and many of the key examples that will feature throughout the book.
Edwin J. Beggs, Shahn Majid
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Left-covariant first order differential calculus on quantum Hopf supersymmetry algebra
Journal of Mathematical Physics, 2021H Fakhri, S Laheghi, Fakhri H
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Differentiation of Algebraic Functions
Proceedings of the London Mathematical Society, 1959openaire +1 more source