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In mathematics, a phase portrait is a geometric representation of the orbits of a dynamical system in the phase plane. Each set of initial conditions is represented by a different point or curve. Phase portraits are an invaluable tool in studying dynamical systems. They consist of a plot of typical trajectories in the phase space.
English: Sadle-node singular point phase portrait with one of possible central manifolds This is a phase portrait of the simple saddle-node equation {˙ = ˙ = Its phase flow looks like: = / (/), = ()
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In mathematics, a phase portrait is a geometric representation of the orbits of a dynamical system in the phase plane. Each set of initial conditions is represented by a different point or curve. Phase portraits are an invaluable tool in studying dynamical systems. They consist of a plot of typical trajectories in the phase space.
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English: Phase portrait of an undamped simple pendulum. The latest revision of the image was created in python using the source code provided below. The first revision of the image was plotted using with GNU Octave using gnuplot backend and saved as a standalone LaTeX file. The PDF generated was then converted to SVG using pdf2svg.
In applied mathematics, in particular the context of nonlinear system analysis, a phase plane is a visual display of certain characteristics of certain kinds of differential equations; a coordinate plane with axes being the values of the two state variables, say (x, y), or (q, p) etc. (any pair of variables).
You are free: to share – to copy, distribute and transmit the work; to remix – to adapt the work; Under the following conditions: attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made.