Linked Questions

How can I plot the stable and unstable separatrices to make a graphic of the basins of attraction of this differential equation? ...

How to plot the basin boundary in Mathematica? I have been trying to do this using the system ...

It is very nice and very easy to make a sketch of a phase portrait with StreamPlot. For example, for the classical pendulum, defined by \begin{eqnarray*} \dot x&...

Consider the system: \begin{align*} x'&=(1-x-y)x\\ y'&=(4-7x-3y)y \end{align*} The system has a saddle point at (1/4,3/4). How can I plot the separatrices on the phase portrait having domain ...

How to draw the image of a circle $x^2+(y-1)^2<1/4$ under the action of a transformation of the phase flow for the equation $\dot{x}=y,\ \dot{y}=-\sin x$? Here $\dot{x}$ means $dx/dt$. Any help or ...

When I do a StreamPlotof a rather complicated pair of differential equations, it loses some details. For example: ...

Actually the current answer is very wonderfull.The bouns just for someone can complete this question. I found this interesting plot of how the relationship between the GDPs of different countries has ...

I have a list of data existing as {{{x, y, z}, f},...} from which I construct a 3D interpolation function using Interpolation[ ]. I am able to construct a vector field from the gradient of this scalar ...

How do I make a phase portrait which looks like the ones demonnstrated here? Not the fancy version where I can use the controls to change it, just a screen-shotted version of say a spiral point? Any ...

I have the following ODE system dx1 = -0.7 x1 y2 dy1 = 0.7 x1 y2 + 1.7 (1-x1-y1) y2 - y1 dx2 = -0.7 x2 y1 dy2 = 0.7 x2 y1 + 1.7 (1-x2-y2) y1 - y2 I have found ...

Given the following map: \begin{align} & x_{n+1}=-y_n+2x_n^2 \\ & y_{n+1}=\beta x_n \end{align} for $β \in (0,1)$, $x_n \in \mathbb{R}, y_n \in \mathbb{R}$ (which is a one parameter version of ...

I need to have time differentials to look like the 'textbook'. My code is Dt[x y^2] /. {Dt[x] -> dx/dt, Dt[y] -> dy/dt} which gives the output ...