19 papers · ranked by Valyu relevance
Xiaohua Shi, Yu Guo, Xuechan Chen, Ziming Chen + 2 more
'Antonio M. Pascoal'] A new method of kinematic analysis and singularity analysis is proposed for a 7-DOF redundant manipulator with three consecutive parallel axes. First, the redundancy angle is described according to the self-motion characteristics of the manipulator, the position and orientation of the end-effector…
Hua-Shu Dou, Amine Ammar, Francisco Chinesta, Rudy Valetteand + 1 more
'Yinnian He'] The Navier-Stokes equation can be written in a form of Poisson equation. For laminar flow in a channel (plane Poiseuille flow), the Navier-Stokes equation has a non-zero source term (∇2u(x, y, z) = Fx (x, y, z, t) and a non-zero solution within the domain. For transitional flow, the velocity profile is…
Andrei Marin, Adrian Stefan Carstea
Blending Painlev´e property with singularity confinement for a general arbitrary order Sawada-Kotera differential-difference equation, we find a proliferation of "tau-functions" (coming from strictly confined patterns). However only one of these function enters into the Hirota bilinear form (the others give…
Ayan Roychowdhury, Saptarshi Dasgupta, Madan Rao
Material renewability in active living systems, such as in cells and tissues, can drive the large-scale patterning of forces, with distinctive phenotypic consequences. This is especially significant in the cell cytoskeleton, where multiple species of myosin bound to actin, apply differential contractile stresses and…
Michael I. Tribelsky, Boris Y. Rubinstein, José Antonio Sánchez-Gil
Singularities of the Poynting vector field subwavelength patterns in resonant light scattering by nanoparticles are discussed and classified. There are two generic types of the singularities, namely, (i) the singularities related to the vanishing of the magnetic (and/or electric) field at the singular points and (ii)…
Desmond Kabus, Louise Arno, Lore Leenknegt, Alexander V. Panfilov + 1 more
Electrical waves that rotate in the heart organize dangerous cardiac arrhythmias. Finding the region around which such rotation occurs is one of the most important practical questions for arrhythmia management. For many years, the main method for finding such regions was so-called phase mapping, in which a continuous…
J. W. Moffat
cosmology Authors: ['J. W. Moffat'] An approach is presented to address singularities in general relativity using a complex Riemannian spacetime extension. We demonstrate how this method can be applied to both black hole and cosmological singularities, specifically focusing on the Schwarzschild and Kerr black holes and…
Gabriel I. Róis, José Tarciso S. S. Junior, Francisco S. N. Lobo, Manuel E. Rodrigues
solutions in hybrid metric-Palatini gravity Authors: ['Gabriel I. Róis' 'José Tarciso S. S. Junior' 'Francisco S. N. Lobo' 'Manuel E. Rodrigues'] This paper presents a systematic exploration of exact solutions for electrically charged wormholes, black holes, and black bounces within the hybrid metric-Palatini gravity…
Nai-Hang Kwong, Jan Wingenbach, Laura Ares, Jan Sperling + 3 more
Exceptional points are non-Hermitian degeneracies where eigenvalues and eigenvectors coalesce, giving rise to unusual physical effects across scientific disciplines. The concept of exceptional points has recently been extended to nonlinear physical systems. We theoretically demonstrate a universal topology in the…
Simon Iveson, Kevin Galvin
This paper presents a simple relationship for estimating the uncertainty in the overall yield and species recovery when the two-product formula is applied to assays of the feed, product and tailings streams of a steady-state mineral separator. The non-linearity of the two-product formula means the reliability of these…
Zhe Weng, Yiyu Zhao, Zhiming Qing, Zhi-Cheng Ren + 4 more
The development of singular optics and vortex beams has facilitated numerous novel optical applications, with optical sensing being one prominent direction. By leveraging the rotational energy flow properties of vortex beams, rotational Doppler effect-based sensing for rotating objects has achieved significant…
Claudio A. Buzzi, Claudio Pessoa, João C. Medrado
Consider an analytical function f : V ⊂ R2 → R having 0 as its regular value, a switching manifold Σ = f −1 (0) and a piecewise analytical vector field X = (X+, X−), i.e. X± are analytical vector fields defined on Σ± = {p ∈ V : ±f(p) > 0}. We characterize when the vector field X has a monodromic singular point in Σ…
Michael I. Tribelsky, Boris Y. Rubinstein, Christer Johansson
We present the results of a study of the Poynting vector field generic singularities at the resonant light scattering of a plane monochromatic linearly polarized electromagnetic wave by a subwavelength particle. We reveal the impact of the problem symmetry, the spatial dimension, and the energy conservation law on the…
George T. Fortune, Eric Lauga, Raymond E Goldstein
The humble Petri dish is perhaps the simplest setting in which to examine the locomotion of swimming organisms, particularly those whose body size is tens of microns to millimetres. The fluid layer in such a container has a bottom no-slip surface and a stress-free upper boundary. It is of fundamental interest to…
Flavio Mercati, David Sloan
We show that the Kantowski–Sachs model of a Schwarzschild black hole interior can be slightly generalized in order to accommodate spatial metrics of different orientations, and in this formulation the equations of motion admit a variable redefinition that makes the system regular at the singularity. This system will…
Apeksha Patil, Amlan Kanti Halder, Rajeswari Seshadri
In this research work, we consider a nonlinear fourth-order (1+2)-dimensional Kudryashov-Sinelshchikov (KS) equation which represents the wave propagation of pressures in liquids that contain gas bubbles. A direct Integrability of the KS equation is analysed using Painleve Analysis with Singular Manifold Method (SMM).…
James Wheeler
A novel perspective on defining black holes designed to be more broadly applicable outside of asymptotically flat spacetimes, in the context of classical general relativity, is presented, discussed, and characterized. The construction formalizes the heuristic idea that black holes are the "past Cauchy development of…
Authors not listed
Purpose: The transmission Fourier-transform infrared (FTIR) spectrum contains complexed signals for molecular structures and intermolecular interactions. Their interrelated signals were attempted to be recognized using the singular value decomposition (SVD) procedure. Methods: Cimetidine (CIM) and indomethacin (INM)…
Authors not listed
Ongoing research involving electronic spin-dependent dynamics, such as chiral- induced spin selectivity, is providing impetus to revise our understanding of nuclear en- tanglement with electronic spatial and spin degrees of freedom. In a spin-independent setting, non-adiabatic couplings are well-known mediators of…