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
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.
Non-Brownian Phase Space
Dynamics of Molecules, the Nature of Their Vibrational States, and Non-RRKM Kinetics
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.