Results 21 to 30 of about 2,411,038 (347)
Deep learning symmetries and their Lie groups, algebras, and subalgebras from first principles [PDF]
Machine Learning: Science and Technology, 2023 We design a deep-learning algorithm for the discovery and identification of the continuous group of symmetries present in a labeled dataset. We use fully connected neural networks to model the symmetry transformations and the corresponding generators ...
Roy T. Forestano +5 more
semanticscholar +1 more source
Lorentz transformations as Lie–Poisson symmetries [PDF]
Journal of Mathematical Physics, 1995 We write down the Poisson structure for a relativistic particle where the Lorentz group does not act canonically, but instead as a Poisson–Lie group. In so doing we obtain the classical limit of a particle moving on a noncommutative space possessing SLq(2, C) invariance.
SIMONI, ALBERTO, Stern A., Yakuscin I.
openaire +4 more sources
Lie symmetry, discrete symmetry and supersymmetry of the Pauli Hamiltonian [PDF]
Czechoslovak Journal of Physics, 2001 Starting from the full group of symmetries of a system we select a discrete subset of transformations which allows to introduce the Clifford algebra of operators generating new supercharges of extended supersymmetry. The system defined by the Pauli Hamiltonian is discussed.
Frydryszak, Andrzej M. +1 more
openaire +3 more sources
On the Lie Symmetries of KeplerErmakov Systems [PDF]
Journal of Nonlinear Mathematical Physics, 2002 In this work, we study the Lie-point symmetries of Kepler--Ermakov systems presented by C. Athorne in J. Phys. A24 (1991), L1385--L1389. We determine the forms of arbitrary function H(x,y) in order to find the members of this class possessing the sl(2,R) symmetry and a Lagrangian.
Karasu, Ayşe, Yildirim, Hasan
openaire +3 more sources
SYMMETRY CLASSIFICATION OF NEWTONIAN INCOMPRESSIBLEFLUID’S EQUATIONS FLOW IN TURBULENT BOUNDARY LAYERS [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2017 Lie group method is applicable to both linear and non-linear partial differential equations, which leads to find new solutions for partial differential equations.
Nadjafikhah M., Hejazi S.R.
doaj +1 more source
Mathematics, 2021 This paper studies a non-linear viscoelastic wave equation, with non-linear damping and source terms, from the point of view of the Lie groups theory.
Almudena P. Márquez, María S. Bruzón
doaj +1 more source
Lie Symmetries and Similarity Solutions for Rotating Shallow Water [PDF]
Zeitschrift für Naturforschung A, 2019 We study a nonlinear system of partial differential equations that describe rotating shallow water with an arbitrary constant polytropic index γ for the fluid.
A. Paliathanasis
semanticscholar +1 more source
Symmetry, 2020 A dynamic model is structurally identifiable (respectively, observable) if it is theoretically possible to infer its unknown parameters (respectively, states) by observing its output over time.
Gemma Massonis, A. F. Villaverde
semanticscholar +1 more source
Weak Lie symmetry and extended Lie algebra [PDF]
Journal of Mathematical Physics, 2013 The concept of weak Lie motion (weak Lie symmetry) is introduced. Applications given exhibit a reduction of the usual symmetry, e.g., in the case of the rotation group. In this context, a particular generalization of Lie algebras is found (“extended Lie algebras”) which turns out to be an involutive distribution or a simple example for a tangent Lie ...
openaire +4 more sources
Conditional Symmetries and Riemann Invariants for Hyperbolic Systems of PDEs [PDF]
, 2007 This paper contains an analysis of rank-k solutions in terms of Riemann invariants, obtained from interrelations between two concepts, that of the symmetry reduction method and of the generalized method of characteristics for first order quasilinear ...
Huard, Benoit, Grundland, A. Michel
core +1 more source