This paper presents a method for coordinating the motion of multiple manipulators that share a common workspace. The approach employs independent motion controllers for each manipulator coupled by way of common connguration space constraints | each robot is represented as a constraint in the other conngura-tion spaces. The harmonic function-based controller for each robot guarantees collision-f...

In this paper, the analytical methods for approximate solutions of periodic motions to chaos in nonlinear dynamical systems are reviewed. Briefly discussed are the traditional analytical methods including the Lagrange stand form, perturbation methods, and method of averaging. A brief literature survey of approximate methods in application is completed, and the weakness of current existing appro...

We derive the asymptotic motion equations of vortices for the time-dependent Gross–Pitaevskii equation with a harmonic trap potential. The asymptotic motion equations form a system of ordinary differential equations which can be regarded as a perturbation of the standard Kirchhoff problem. From the numerical simulation on the asymptotic motion equations, we observe that the bounded and collisio...

Harmonic wave excitation in a semi-infinite incompressible hyperelastic 1D rod with the Mooney–Rivlin equation of state reveals formation and propagation shock fronts arising between faster slower moving parts initially harmonic wave. The observed result collapse being absorbed by parts; hence, to attenuation kinetic elastic strain energy corresponding heat generation. Both geometrically physic...

We obtain a class of oscillation modes with damping and absorption that are connected to the classical harmonic oscillator modes through the supersymmetric one-dimensional matrix procedure similar to relationships of the same type between Dirac and Schrödinger equations in particle physics. A single coupling parameter characterizes both the damping and absorption features of these modes, which ...

We consider the well-posedness of initial value problem for Einstein-Maxwell theory modified by higher derivative effective field corrections. Field redefinitions can be used to bring leading parity-symmetric 4-derivative corrections a form which gives second order equations motion. show that recently introduced ``modified harmonic'' gauge condition obtain formulation these theories admits well...

Coherent motion responses of patients with mild to moderate strabismic amblyopia were compared to those of normals using visual-evoked potentials (VEPs). Responses were elicited by dynamic random-dot kinematograms that alternated at 0.83 Hz between globally coherent (left-right) and incoherent (random) motion states. Tuning curves were measured at the first harmonic of the global motion update ...

We present the results of a theoretical investigation of the dynamics of a droplet walking on a vibrating fluid bath under the influence of a harmonic potential. The walking droplet's horizontal motion is described by an integro-differential trajectory equation, which is found to admit steady orbital solutions. Predictions for the dependence of the orbital radius and frequency on the strength o...

METHODS Spin echo encoded, steady-state harmonic motion data was collected from a cylindrical, gelatine phantom containing multiple inclusions in order to test a dual-stage Magnetic Resonance Elastography (MRE) reconstruction approach. This reconstruction method uses a viscoelastic shear modulus distribution calculated from derivatives of filtered displacement values as an initial guess for an ...

Multiferroicity can be induced in strontium titanate by applying biaxial strain. Using optical second harmonic generation, we report a transition from 4/mmm to the ferroelectric mm2 phase, followed by a transition to a ferroelastic-ferroelectric mm2 phase in a strontium titanate thin film. Piezoelectric force microscopy is used to study ferroelectric domain switching. Second harmonic generation...