We analyze here the structure of non-radial nonspacelike geodesics terminating in the past at a naked singularity formed as the end state of inhomogeneous dust collapse. The spectrum of outgoing nonspacelike geodesics is examined analytically. The local and global visibility of the singularity is also examined by integrating numerically the null geodesics equations. The possible implications of...

This paper is concerned with the analysis of a singularity that can occur in threedimensional discontinuous feedback control systems. The singularity is the two-fold – a tangency of orbits to both sides of a switching manifold. Particular attention is placed on the Teixeira singularity, which previous literature suggests as a mechanism for dynamical transitions in this class of systems. We show...

This paper presents the Eclipse-II, a new six degree-offreedom parallel mechanism, which can be used as a basis for general motion simulators. The Eclipse-II is capable of x, y and z-axis translations and a, b and c-axis rotations. In particular, it has the advantage of enabling continuous 360-degree spinning of the platform. The computational procedures for forward and inverse kinematics of th...

This paper presents the Eclipse-11, a new six degree-offreedom parallel mechanism, which can be used as a basis for general motion simulators. The Eclipse-I1 is capable of x, y and z-axis translations and a, b and c-axis rotations. In particular, it has the advantage of enabling continuous 360-degree spinning of the platform. The computational procedures for forward and inverse kinematics of th...

We present a toolbox for extracting asymptotic information on the coefficients of combinatorial generating functions. This toolbox notably includes a treatment of the effect of Hadamard products on singularities in the context of the complex Tauberian technique known as singularity analysis. As a consequence, it becomes possible to unify the analysis of a number of divide-and-conquer algorithms...

Onium-onium scattering at high energy is used to illustrate a dipole picture of high energy hard scattering in the large Nc limit. Single and double BFKL pomeron exchanges are calculated in the leading logarithmic approximation. An expression is given for the triple pomeron coupling when one of the pomeron’s momentum is zero while the other two have momentum transfer, t. This expression is expl...

The problem of the moving contact line is described and the singularity that arises after application of the classic hydrodynamic model is discussed. The central experimental observation that the motion is rolling is confirmed by a simple experiment. Subsequently, some of the various methods that have been developed to resolve the difficulty are briefly described. In addition, the lubrication e...

Citation: Moe S, Antonelli G, Teel AR, Pettersen KY and Schrimpf J (2016) Set-Based Tasks within the Singularity-Robust Multiple Task-Priority Inverse Kinematics Framework: General Formulation, Stability Analysis, and Experimental Results. Front. Robot. AI 3:16. doi: 10.3389/frobt.2016.00016 Set-Based Tasks within the Singularity-Robust Multiple Task-Priority Inverse Kinematics Framework: Gener...

The multivariate singularity analysis of Pemantle and Wilson is explored and then used to derive an asymptotic expression for the number of bicolored supertrees, realized as the diagonal sequence of a bivariate rational function F. These asymptotics have been obtained previously by univariate methods, but the analysis contained herein serves as a case study for the general multivariate method. ...

This paper presents an analysis to create a general singularity condition for a mechanism that contains a deformable closed contour. This kinematic architecture is widely used in rigid-body shape changing mechanisms. The general singularity equation is reduced to a condensed form, which allows geometric relationships to be readily detected. A method for formulating the singularity condition for...