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.
References in periodicals archive ?
First, our aim is to find statistical features of energy density distribution in the coordinate r space, so we need to project the wave energy field from the phase space to the real coordinate space.
Figure 2 clearly indicates that the control draws the considered system towards regular behavior in the localized phase space.
c) Liapunov exponents are a measure of the divergence of the phase space trajectories used to characterise the stability of the motion.
Modern theories of chaos have shown that some phase spaces that are not machines may degenerate to what is called a bifurcation rather than phase space death.
Figure 3 shows the phase space plot for the oscillation of Fig.
over time the populations of foxes and rabbits rise and fall, and so the point that represents them in phase space moves around (p.
The history of the system time can be charted by the moving point, tracing its orbit through phase space with the passage of time.
And even when the dispositional and predispositional paronomastics point the other way - that is, toward the very mythos of the observable with which Wallace's story is every which way preoccupied, it matters little to the human propositions locked inside its phase space of spacey phases.
A truly random heart rate, Redington explains, would fill the phase space with an amorphous cloud of data points in no particular order.
The complex crystal structures, rich phase space, and strong bonding networks available in ternary phases to be studied will lead to materials that are less prone to degradation.
Then construct a subset [OMEGA](K) of the phase space (the set of possible configurations of the Fourier modes) so that all points in [OMEGA](K) possess the desired decay properties.