Results 31 to 40 of about 9,958 (153)

Comparison of Different Approaches to Construct First Integrals for Ordinary Differential Equations

Abstract and Applied Analysis, 2014
Different approaches to construct first integrals for ordinary differential equations and systems of ordinary differential equations are studied here. These approaches can be grouped into three categories: direct methods, Lagrangian or partial Lagrangian
Rehana Naz, Igor Leite Freire, Imran Naeem   +2 more
doaj   +1 more source

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
core   +1 more source

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, Jonathan D. Hauenstein   +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, Luperi Baglini Lorenzo, Giordano Paolo   +2 more
doaj   +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
doaj   +1 more source

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

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
core   +1 more source

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, Athorne, Athorne, Athorne, Athorne, Cerveró, Dhara, Ermakov, F. Haas, Goedert, Goedert, Grammaticos, Haas, Haas, Haas, J. Goedert, Kanasugi, Kaushal, Kaushal, Leach, Leach, Munier, Ray, Ray, Ray, Reid, Saermark, Sarlet, Simic   +28 more
core   +2 more sources

Red Blood Cell Membrane Mechanics Using Discrete Exterior Calculus (DEC) and Optimization

International Journal for Numerical Methods in Biomedical Engineering, Volume 42, Issue 4, April 2026.
We present a novel DEC approach for calculating RBC shapes applicable to other cell types and membrane problems. We derive an energy minimization equation that can be solved semi‐implicitly, and a Lie derivative method to control node spacing. This novel work should aid computational modeling in many biological situations.
Keith C. Afas, Daniel Goldman
wiley   +1 more source

The equivalence principle is NOT a Noether symmetry

European Physical Journal C: Particles and Fields
The 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
doaj   +1 more source