How To Use Phase space In A Sentence

Let us see how physical determinism is to be interpreted in terms of phase space.

Then chaotic behaviour recurs, with the phase space trajectories being initially confined to bands and subsequently filling a whole region.

This spreading effect in phase space has another remarkable implication.

Ellipses in phase space — curves of constant energy — then become isomorphism classes, because the oscillator motion is periodic, and for any A and B connected by a morphism, you can find another time evolution which takes B back into A.
Arrow of Time FAQ

a multidimensional phase space

If it can be assumed that the probability of the microstate being in a given subregion of the macrostate is proportional to the phase space volume of the subregion, this gives Einstein's fluctuation formula.
Information Processing and Thermodynamic Entropy

Relying upon the instability of trajectories, one tries to show that a region of phase points representing the possible microstates for a system prepared in a nonequilibrium condition will, if the constraints are changed, eventually evolve into a set of phase points that is "coarsely" spread over the entire region of phase space allowed by the changed constraints.
Philosophy of Statistical Mechanics

The form of chaotic attractor as well as the performance of phase space location modulation are analysed. The system model and implementation is also described.

Thus, the trick is not even to try even in the case of the phase space for a single particle.

They cover discrete and continuous time equations, linear models and linearization, qualitative analysis and phase space, bifurcations, and delay equations.