Phase line (mathematics)

In mathematics, a phase line is a diagram that shows the qualitative behaviour of an autonomous ordinary differential equation in a single variable, d y d x = f ( y ) {\displaystyle {\tfrac {dy}{dx}}=f(y)} . The phase line is the 1-dimensional form of the general n {\displaystyle n} -dimensional phase space, and can be readily analyzed.

Source: Wikipedia — Phase line (mathematics) (CC BY-SA 4.0)

Phase line (mathematics)

In mathematics, a phase line is a diagram that shows the qualitative behaviour of an autonomous ordinary differential equation in a single variable, d y d x = f ( y ) {\displaystyle {\tfrac {dy}{dx}}=f(y)} . The phase line is the 1-dimensional form of the general n {\displaystyle n} -dimensional phase space, and can be readily analyzed.

Source: Wikipedia "Phase line (mathematics)" · CC BY-SA 4.0

Share this article: X · Bluesky
Privacy Policy