Results 41 to 50 of about 10,042,261 (306)
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We consider conformally flat hypersurfaces in four dimensional space forms with their associated Guichard nets and Lamé's system of equations. We show that the symmetry group of the Lamé's system, satisfying Guichard condition, is given by translations ...
João Paulo dos Santos, Keti Tenenblat
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Symmetry-breaking in a rate model for a biped locomotion central pattern generator [PDF]
, 2014 The timing patterns of animal gaits are produced by a network of spinal neurons called a Central Pattern Generator (CPG). Pinto and Golubitsky studied a four-node CPG for biped dynamics in which each leg is associated with one flexor node and one ...
Ian Stewart, Stewart, Ian
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Engineering Transactions, 2014 The spectral decomposition of elasticity tensor for all symmetry groups of a linearly elastic material is reviewed. In the paper it has been derived in non-standard way by imposing the symmetry conditions upon the orthogonal projectors instead of the ...
Katarzyna KOWALCZYK-GAJEWSKA +1 more
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Higher group Weyl Symmetry [PDF]
, 2023 We study a higher group analog of the Weyl symmetry in four-dimensional quantum field theories. A typical example is that the modified transformation of the 2-form background gauge field replaces the operator-valued Weyl anomaly associated with gauging ...
Nakayama, Yu
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Advancements in nonlinear dynamics: lie symmetry applications in the jaulent-miodek equation [PDF]
Journal of Applied Research on Industrial EngineeringThis research presents a detailed analysis of the nonlinear Jaulent-Miodek (J-M) equation through the lens of Lie symmetries. Our primary objective is to comprehensively identify the symmetry group and the optimal systems of Lie sub-algebras pertinent to
Praveen Agarwal +4 more
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Minima of classically scale-invariant potentials
Journal of High Energy Physics, 2021 We propose a new formalism to analyse the extremum structure of scale-invariant effective potentials. The problem is stated in a compact matrix form, used to derive general expressions for the stationary point equation and the mass matrix of a multi ...
Kristjan Kannike +2 more
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, 2008 We consider the size and structure of the automorphism groups of a variety of empirical ‘real-world’ networks and find that, in contrast to classical random graph models, many real-world networks are richly symmetric.
Sanchez-Garcia, Ruben J. +2 more
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Diversity and complexity in neural organoids
FEBS Letters, EarlyView.Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
wiley +1 more source
Symmetry Transformations of a Nonlinear Model of Optical Wave Transmission
AxiomsThe full symmetry group is found for a system of nonlinear schrödinger equations describing the propagation of optical pulses in an isotropic media.
Jean-Claude Ndogmo +2 more
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Symmetry groupoids and patterns of synchrony in coupled cell networks [PDF]
, 2003 A coupled cell system is a network of dynamical systems, or “cells,” coupled together. Such systems can be represented schematically by a directed graph whose nodes correspond to cells and whose edges represent couplings.
Pivato, Marcus +2 more
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