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Phase Portrait


PhasePortrait

A phase portrait is a plot of multiple phase curves corresponding to different initial conditions in the same phase plane (Tabor 1989, p. 14). Phase portraits for simple harmonic motion

 {x^.=y; y^.=-omega^2x
(1)

and pendulum

 {x^.=y; y^.=-omega^2sinx
(2)

are illustrated above.


See also

Phase Curve, Phase Flow, Phase Plane, Surface of Section

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References

Tabor, M. Chaos and Integrability in Nonlinear Dynamics: An Introduction. New York: Wiley, 1989.

Referenced on Wolfram|Alpha

Phase Portrait

Cite this as:

Weisstein, Eric W. "Phase Portrait." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PhasePortrait.html

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