Phase plane

The plane $\mathbf R^2$, which can be used for a geometrical interpretation of an autonomous system of two first-order ordinary differential equations (or one second-order ordinary differential equation). A phase plane is a special case of a phase space.

See also Dynamical system (where this interpretation is called kinematic); Qualitative theory of differential equations; Poincaré–Bendixson theory.

References

• [a1] O. Hajek, "Dynamical systems in the plane", Acad. Press (1968)