Revision history [back]

I did not find any rescaling option, but you can normalize your vector field as follows:

sage: f(x,y) = (x^2-1)*(y^2-1)*x*y
sage: g(x,y) = (x^2+(y-3/8)^2-1/64)*(x^2+(y+3/8)^2-1/64)
sage: plot_vector_field((f(x,y)/sqrt(f(x,y)^2+g(x,y)^2), g(x,y)/sqrt(f(x,y)^2+g(x,y)^2)), (x, -1,1), (y, -1,1))

Which indeed shows sinks, sources, and saddles much better than

sage: plot_vector_field((f(x,y),g(x,y)), (x, -1,1), (y, -1,1))

I did not find any rescaling option, option in the source code, but you can normalize your vector field as follows:

sage: f(x,y) = (x^2-1)*(y^2-1)*x*y
sage: g(x,y) = (x^2+(y-3/8)^2-1/64)*(x^2+(y+3/8)^2-1/64)
sage: plot_vector_field((f(x,y)/sqrt(f(x,y)^2+g(x,y)^2), g(x,y)/sqrt(f(x,y)^2+g(x,y)^2)), (x, -1,1), (y, -1,1))

Which indeed shows sinks, sources, and saddles much better than

sage: plot_vector_field((f(x,y),g(x,y)), (x, -1,1), (y, -1,1))

That said, it could be a good idea to add a normalize option to plot_vector_field(), hence i opened trac ticket 18641 to implement this.