# Phase space

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Related to Phase space: Liouville's theorem

## Phase space

A graph which shows all possible states of a system. In phase space we plot the value of a variable against possible values of the other variables at the same time. If a system had three descriptive variables, we plot the phase space in three dimensions, with each variable taking one dimension.
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In phase space, the stellar motions revealed an interesting and totally unexpected pattern when the star's positions were plotted against their velocities.
Caption: Figure 3: Phase space diagrams for the GWO (a, c, e, and g) and MJO (b, d, f, and h) during the two EN DJFs and MAMs with the most tornadoes.
According to Table 1, Figure 3 shows the dynamical behaviors and phase space trajectory of the three fish populations against time, beginning with the initial values x(0) = 0.01, y(0) = 1.01, and z(0) = 0.01.
Caption: Fig.3 Propagation is rotation and projection in phase space, as seen in this x-z cross section of a periodic grating and its fractal unfolding with propagation as a coherent light wave diffracts from the grating in the z direction.
N is number of data points in phase space. r is radial distance around each reference point Xi.
Phase space reconstruction-based dynamical system analysis has been recommended by the researchers for this purpose .
Wang, "Probing noncommutativities of phase space by using persistent charged current and its asymmetry," Physical Review D: Particles, Fields, Gravitation and Cosmology, vol.
Classical mechanics deals with the fluctuations of macroscopic objects in phase space. It helps to drive and understand the matter laws fluctuations of an object.
(4)-(9), the motion is restricted to a three dimensional phase space (R, z, [V.sub.R]).
The key to the algorithm is phase space reconstruction.
The STLF model based on the fusion of Phase Space Reconstruction Theory (PSRT) and Quantum Chaotic Neural Networks (QCNN) is constructed in this paper.

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