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).

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

[Walter Roberson]

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

Answer 1

[Mischa Kim]

Parth, check out this answer.