How does one plot phase portraits for systems of differential equations?

215 views (last 30 days)
亚伦·格拉夫(Aaron Graf)
Answered: Brian Hong on 26 Jan 2022
I'm sort of new to this whole process and a lof of my homework for diff eq's asks for us to use technology to plot some of the solutions.
We just started last week on system of diff eq's and I wanted to learn how to do this with MATLAB. Be easy on me as I have very limited knowledge of the language.
我在手上被要求绘制的示例如下:
Where x is a function of t.
Any help would be greayly appreciated. Thank in advance!

答案(2)

Ameer Hamza
Ameer Hamza on 19 Apr 2020
编辑:Ameer Hamza on 19 Apr 2020
See this: http://matlab.cheme.cmu.edu.edu/2011/08/09/phase-portraits-of-a-system-odes/-eodes/ to understand how to make phase portraits in MATLAB. The following shows an example without using for-loop for your equations.
[X1,X2] = meshgrid(-5:0.5:5);
xs = arrayfun(@(x,y) {odeFun([],[x,y])}, X1, X2);
x1s = cellfun(@(x) x(1), xs);
x2s = cellfun(@(x) x(2), xs);
quiver(x1s, x2s)
Xlabel('x_1')
ylabel('x_2')
tight equal;
功能dxdt = odeFun(t,x)
dxdt(1)= 5*x(1)-9*x(2);
dxdt(2) = 1*x(1)-5*x(2);
end
2 Comments
Ahsan Mujtaba
Ahsan Mujtaba on 5 May 2021
In this question, I wanted to ask that the all the possible initial consitions are being plotted?

Sign in to comment.


Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

开始狩猎!