Jul 28, 2022 · To plot stream lines that only passes through specific point, you do (as an example, change the point as you need StreamPlot[Evaluate[{f1[x, y], f2[x, y]}], {x, -2, 2}, {y, -2, 2}, StreamPoints -> {{{{.7, .7}, Red}, 1}}, Epilog -> {p0, c}, ImageSize -> 300, PerformanceGoal -> …

A plot that shows representative sample of trajectories for a given first order differential equation is called phase portrait. This section shows how to include sample trajectories into tangent field to obtain a phase portrait for a given differential equation.

I've tried stream plot (y*(1-y^2),x) but I don't know if this is the correct way of doing it.

To plot the phase portrait in Mathematica, you can use StreamPlot: y (1 - (\[Alpha]*x + y))}, {x, -0.5, 2}, {y, -0.5, 1.5}]; If you want the nullclines as well then do, y (1 - (\[Alpha]*x + y))}, {x, -0.5, 2}, {y, -0.5, 1.5}];

Jul 17, 2019 · Use Mathematica to make a phase line by using graphics commands.

The EquationTrekker package is a great package for plotting and exploring phase space << EquationTrekker` EquationTrekker[x''[t] - (1 - x[t]^2) x'[t] + x[t] == 0.5 Cos[1.1 t], x[t], {t, 0, 10}] This brings up a window where you can right click on any point and it plots the trajectory starting with that initial condition:

BodePlot plots the magnitude and phase of the transfer function of lsys. The other options of BodePlot can be specified as a list of two elements, with the first element corresponding to the magnitude plot and the second to the phase plot.

May 23, 2008 · In this article, I will show how easy it easy to plot the phase space diagram which represents all possible states for a given system. In the case of the Lorenz equations, the phase space is three dimensional because there are three variables: x , y , and z .

We plot the corresponding phase portrait using the following codes. Mathematica provides us at least two options: either StreamPlot or VectorPlot (for the latter we give two versions without normalization and with it).

May 9, 2023 · Learn how to sketch phase portraits for economic systems using popular software tools like Maple or Mathematica. This article provides step-by-step instructions and helpful tips to help you visualize complex systems and make informed decisions.