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Phase plane plotter. dx/dt=. dy/dt=. The direction field solver knows about trigonometric, logarithmic and exponential functions, but multiplication and evaluation must be entered explicitly (2*x and sin (x), not 2x and sin x). The Display:
- Direction Field Plotter
Licensing: This web page is provided in hopes that it will...
- Direction Field Plotter
Phase Plane Plotter. John Dews-Flick 2019. X'. Y'. X Range. Y Range. Start Point. 2D Phase Plane Plotter for differential systems.
Get the free "Phase Plane" widget for your website, blog, Wordpress, Blogger, or iGoogle. Find more Mathematics widgets in Wolfram|Alpha.
To draw the phase plane, we must calculate and plot the nullclines, fill in enough direction-field arrows to see how solutions move through the phase plane, identify steady states and determine their stability graphically (if possible) and plot a few example solution curves.
The locus in the (x1-x2)-plane of the solution x(t)for all t >0is a curve that passes through the point x0. This curve is called a trajectory or orbit of (6) from x0. The (x1-x2)-plane is called state plane or phase plane. Using vector notation x˙ =f(x), (7) where f(x)=(f1(x),f2(x))we consider f(x)as a vector field on the state plane.
1. Non-linear planar systems. With LCC systems detailed, we now move on to the general non-linear planar system1. x0 = f(x; y); y0 = g(x; y) and, with x = (x; y) and F = (f; g), the vector form. (S) x0 = F(x): The path of a solution in the phase plane is called a solution curve or an orbit.
PhaPl is a software to research and plot phase portraits of autonomous systems of 2 differential equations on a plane. PhaPl works as a site or as a local html-page that works offline. Go to task input/choice below.
