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Zero Trajectories and the Problem of the Reconstruction of the Phase
Fortschritte der Physik/Progress of Physics, 1987We discuss the problem of the reconstruction of the phase of the scattering amplitudes of elastic strong interaction processes starting from the observables on extended domains of energy and angle. Analyticity of the amplitudes in one or two complex variables is the main theoretical constraint.
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Division of Reach-to-Grasp Trajectories into phases
2007In this paper the evaluation of approaching trajectories assessed during grasping performed by healthy subjects is described. The investigation including grasping of three different objects in various poses and 3D recording of the fingertips trajectories was undertaken in 6 healthy volunteers.
Šupuk, Tamara +2 more
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Application of the phase trajectories mapping to identification
2006The reduction of oscillation amplitudes of structural elements is necessary not only for maintenance of their durability and longevity but also for elimination of a harmful effect of oscillations on people and technology operations. The dampers are widely applied for this purpose.
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Analytic symmetries and the properties of phase trajectories
Journal of Applied Mathematics and Mechanics, 1982The author formulates a sufficient condition which guarantees the existence of an analytic normalizing transformation of a system \({\dot \rho}= R(\rho,\phi)\), \({\dot \phi}=\Omega(\rho,\phi)\), \(R(0,\phi)=0\) \(\rho,\phi\) are polar coordinates in the plane) in terms of analytic properties of the phase trajectories rather than in terms of those of \(
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Phase trajectory analysis at the nonlinear resonances
Conference Record of the 1991 IEEE Particle Accelerator Conference, 2002The phase trajectories close to the parametric resonance and to the nonlinear resonances of third and fourth order, which play an important role in cyclic accelerator particle dynamics, are investigated. The problem is reduced to the construction of phase trajectories that are third- or fourth-order curves and the determination of the mode of motion in
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Boost Phase Trajectory Analysis Techniques
Journal of Jet Propulsion, 1957Analysis of the boost-phase performance of a rocketboosted missile generally requires the solution of a set of differential equations with variable coefficients. Analytical methods are difficult and time consuming if not impossi ble. This paper discusses four numerical approaches to the solution of the equations for a cruciform, uncontrolled missile ...
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On the boundedness of the trajectories of phase systems
Siberian Mathematical Journal, 1975openaire +1 more source