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plot a phase portrait

asked 2021-11-13 15:49:32 +0100

green_l gravatar image

updated 2021-11-13 15:54:55 +0100

slelievre gravatar image

How can we plot the phase portait?

I got a system of two differential equations:

$$ du/dt = u(1-u-0.2v) $$

$$ dv/dt = v(1-v-0.5u) $$

For a vector field:

var('u v')
plot_vector_field([u*(1-u-0.2*v),v*(1-v-0.5*u)],[u,0,2],[v,0,2])
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answered 2021-11-13 22:09:35 +0100

eric_g gravatar image

updated 2021-11-13 22:10:12 +0100

Use streamline_plot:

streamline_plot([u*(1-u-0.2*v),v*(1-v-0.5*u)], [u,0,2], [v,0,2])
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Asked: 2021-11-13 14:42:24 +0100

Seen: 110 times

Last updated: Nov 13 '21