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Kinetics of Phase Separation Along Stable Trajectories

1988
The phase separation kinetics of dilute Al-(Zn,Mg) alloys were studied by small-angle and diffuse neutron scattering techniques and the mean cluster radius R as well as the volume fraction V of the solute-rich phase were determined. It could be shown that, within (R,V)-space, the decomposition corresponds to a trajectory, which is stable against small ...
Fratzl, P., Blaschko, O.
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[Sphygmogram analysis based on phase trajectories].

Meditsinskaia tekhnika, 2008
Mattier's differential equation for parametric oscillation is suggested to be used as a method for simulating quasi-periodic processes in human body in terms of oscillation of the pulse wave produced by heart contraction. Obtained sphygmograms agree qualitatively with solutions of the Mattier's and Hill's equations at given shape of the exciting signal.
V I, Volkov, D Iu, Kozlov
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Extracting the Geometric Phase from the Ensemble of Trajectories

The Journal of Physical Chemistry A
Traditionally, methods designed to investigate the effects of the geometric phase in reaction dynamics, such as including a vector potential in the nuclear Hamiltonian, necessitate the explicit manipulation of geometric phase-related terms in the adiabatic representation.
Huan Yang, Yujun Zheng
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Features of the phase trajectory of a fractal oscillator

Technical Physics Letters, 2002
Based on the solution of a system of differential equations of a fractional order α ...
R. P. Meilanov, M. S. Yanpolov
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On the choice of phase in classical trajectory theories

Journal of Physics B: Atomic and Molecular Physics, 1976
A new derivation is presented of the properties of the travelling wave phase factors which are important in the semi-classical theory of high energy charge exchange processes. In the case of a rectilinear, constant velocity trajectory the phases obtained are those required by the Galilean invariance of the non-relativistic Schrodinger operator.
R W Numrich, J S Dahler
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Zero Trajectories and the Problem of the Reconstruction of the Phase

Fortschritte der Physik/Progress of Physics, 1987
We 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

2007
In 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

2006
The 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, 1982
The 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, 2002
The 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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