Hi I have two equations here, and I wonder that how do you plot them as a phase plane. du/dt = u + 3w + au^3 + auw^2 and dw/dt = -u - w + au^3 + au*w^2 with singular point at (0,0).

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Parth Rajeshkumar Patel on 24 Oct 2016

Answered: Mischa Kim on 24 Oct 2016

This is a math problem from Phase trajectories for differential equations.

Walter Roberson on 24 Oct 2016

Copying the equations from the title:

du/dt = u + 3*w + a*u^3 + a*u*w^2
dw/dt = -u - w + a*u^3 + a*u*w^2

Mischa Kim on 24 Oct 2016

Parth, check out this answer.

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Hi I have two equations here, and I wonder that how do you plot them as a phase plane. du/dt = u + 3*w + a*u^3 + a*u*w^2 and dw/dt = -u - w + a*u^3 + a*u*w^2 with singular point at (0,0).