Results 31 to 40 of about 9,998 (155)
On Symmetry and Conserved Quantities in Classical Mechanics [PDF]
, 2005 This paper expounds the relations between continuous symmetries and conserved quantities, i.e. Noether's ``first theorem'', in both the Lagrangian and Hamiltonian frameworks for classical mechanics.
Butterfield, Jeremy
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Conservation laws for invariant functionals containing compositions
, 2007 The study of problems of the calculus of variations with compositions is a quite recent subject with origin in dynamical systems governed by chaotic maps.
Askenazy P +22 more
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On computing local monodromy and the numerical local irreducible decomposition
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
wiley +1 more source
The classical theory of calculus of variations for generalized functions
Advances in Nonlinear Analysis, 2017 We present an extension of the classical theory of calculus of variations to generalized functions. The framework is the category of generalized smooth functions, which includes Schwartz distributions, while sharing many nonlinear properties with ...
Lecke Alexander +2 more
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Noether's problem for orientation $p$-subgroups of symmetric groups
, 2018 We give a positive solution to Noether's rationality problem for certain index $p$ subgroups of the $p$-Sylow subgoups of symmetric groups.Comment: To appear in Communications in ...
Kriz, Sophie
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Rational points on even‐dimensional Fermat cubics
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley +1 more source
Exact Solutions and Conserved Vectors of the Two-Dimensional Generalized Shallow Water Wave Equation
Mathematics, 2021 In this article, we investigate a two-dimensional generalized shallow water wave equation. Lie symmetries of the equation are computed first and then used to perform symmetry reductions.
Chaudry Masood Khalique, Karabo Plaatjie
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Dynamical symmetries and the Ermakov invariant
, 2002 Ermakov systems possessing Noether point symmetry are identified among the Ermakov systems that derive from a Lagrangian formalism and, the Ermakov invariant is shown to result from an associated symmetry of dynamical character. The Ermakov invariant and
Arnold +28 more
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The singularity category and duality for complete intersection groups
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract If G$G$ is a finite group, the structure of the modular representation theory depends on the cochains C∗(BG;k)$C^*(BG; k)$, viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson [Adv. Math.
J. P. C. Greenlees
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The equivalence principle is NOT a Noether symmetry
European Physical Journal C: Particles and FieldsThe connection between the equivalence principle and Noether’s theorem was discussed in Capozziello and Ferrara (Int J Geom Methods Mod Phys 21:2440014, 2024).
Andronikos Paliathanasis
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