Results 1 to 10 of about 1,695 (179)
Noether's symmetry and conserved quantity for a time-delayed Hamiltonian system of Herglotz type [PDF]
Royal Society Open Science, 2018 The variational problem of Herglotz type and Noether's theorem for a time-delayed Hamiltonian system are studied. Firstly, the variational problem of Herglotz type with time delay in phase space is proposed, and the Hamilton canonical equations with time
Yi Zhang
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The Concept of Symmetry and the Theory of Perception [PDF]
Frontiers in Computational Neuroscience, 2021 Perceptual constancy refers to the fact that the perceived geometrical and physical characteristics of objects remain constant despite transformations of the objects such as rigid motion.
Zygmunt Pizlo, J. Acacio de Barros
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Thermodynamic Entropy as a Noether Invariant from Contact Geometry [PDF]
Entropy, 2023 We use a formulation of Noether’s theorem for contact Hamiltonian systems to derive a relation between the thermodynamic entropy and the Noether invariant associated with time-translational symmetry.
Alessandro Bravetti +2 more
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Noether’s theorem in statistical mechanics [PDF]
Communications Physics, 2021 Noether’s Theorem relates symmetries to fundamental physical laws. Rather than applying the concept to an action integral in order to obtain conservation laws, here the authors consider Statistical Mechanical objects, such as the free energy and density ...
Sophie Hermann, Matthias Schmidt
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On the conservation of energy: Noether's theorem revisited [PDF]
HeliyonThis paper studies the dynamics and conservation of energy. It evaluates the validity of Noether's theorem as a formal argument supporting the law of conservation of energy in physical systems.
Jean-Paul Chavas
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Noether and partial Noether approach for the nonlinear (3+1)-dimensional elastic wave equations. [PDF]
PLoS ONEThe Lie group method is a powerful technique for obtaining analytical solutions for various nonlinear differential equations. This study aimed to explore the behavior of nonlinear elastic wave equations and their underlying physical properties using Lie ...
Akhtar Hussain +4 more
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Noether’s theorem for nonconservative systems in quasicoordinates [PDF]
Theoretical and Applied Mechanics, 2016 In this paper the generalized Noether’s theorem is given in quasicoordinates for the systems of particles, the motion of which can be presented in quasicoordinats and quasivelocities.
Mušicki Đorđe
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Herglotz type conservation laws for nonconservative nonholonomic systems
AIP Advances, 2023 The Herglotz variational principle offers an effective method for studying nonconservative system dynamics. The aim of this paper is to study the conservation laws of nonholonomic systems by using the Herglotz type generalized variational principle and ...
Xinchang Dong, Yi Zhang
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Mathematics, 2021 In this work, we study the generalized 2D equal-width equation which arises in various fields of science. With the aid of numerous methods which includes Lie symmetry analysis, power series expansion and Weierstrass method, we produce closed-form ...
Chaudry Masood Khalique, Karabo Plaatjie
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Diffeomorphism Covariance of the Canonical Barbero–Immirzi–Holst Triad Theory
Universe, 2023 The vanishing phase space generator of the full four-dimensional diffeomorphism-related symmetry group in the context of the Barbero–Immirz–Holst Lagrangian is derived directly, for the first time, from Noether’s second theorem.
Donald Salisbury
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