Category:Phase Space

This category contains results about Phase Space.
Definitions specific to this category can be found in Definitions/Phase Space.

Consider the flow:

$\map x t = \tuple {\map {x_1} t, \map {x_2} t, \ldots, \map {x_n} t}$

describing a solution to a differential equation in Euclidean $n$-space.

The phase space of this flow is the space of all vectors of the form:

$\tuple {\map {x_1} t, \map {\dot x_1} t, \map {x_2} t, \map {\dot x_1} t, \ldots, \map {x_n} t, \map {\dot x_n} t}$

in Euclidean $2 $-space.