Results 251 to 260 of about 659,787 (293)

Linear response of phase-space trajectories to shearing

Physical Review Letters, 1989
The influence of the Lyapunov instability on a trajectory in phase space is investigated numerically for a Lennard-Jones fluid under a constant shear rate \ensuremath{\gamma}. The time dependence of the distance d(t,\ensuremath{\gamma};\ensuremath{\Gamma}) between two individual trajectories, starting at the same phase point \ensuremath{\Gamma}, but ...
, Morriss, , Evans, , Cohen, , van Beijeren H   +3 more
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Instability, Asymptotic Trajectories and Dimension of the Phase Space

Moscow Mathematical Journal, 2018
Summary: Suppose the origin \(x=0\) is a Lyapunov unstable equilibrium position for a flow in \(\mathbb{R}^n\). Is it true that there always exists a solution \(t\mapsto x(t), x(t)\neq 0\) asymptotic to the equilibrium: \(x(t)\rightarrow 0\) as \(t\rightarrow-\infty\)?
Kozlov, V. V., Treschev, D. V.
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The Cancer Trajectory — A Model of Phases

Nordic Journal of Nursing Research, 2014
The aim of this paper is to present a model of phases in the cancer trajectory. This presentation might be valuable as a visual description of the cancer journey because the track may have several ...
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The structural analysis of phase space trajectories

Chemical Physics, 1986
Abstract Multidimensional phase space trajectories can be difficult to understand due to their complexity and the typically high dimensionality of the space. This paper proposes a global perspective to the problem having two aspects: first, the trajectory is viewed geometrically and analyzed structurally and second, the detailed trajectory ...
Zi-Ping Luo, Britton Chang, Herschel Rabitz   +2 more
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A Phase Space Spline Smoother for Fitting Trajectories

IEEE Transactions on Systems, Man and Cybernetics, Part B (Cybernetics), 2004
This paper presents a phase space spline smoother, which is especially useful for finding a best-fit trajectory from multiple examples of a given physical motion. Unlike conventional spline smoothers, the phase space spline smoother can simultaneously fit position and velocity information.
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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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