When you portray sufficient solution trajectories in the phase plane so as to determine all of the important behavior of a planar, autonomous system, you have created what is called a “phase portrait.” In Exercise, use pplane6 to create a phase portrait for the indicated system on the prescribed display window. Take special notice of where solution curves end, as reported in the message window.
x′ = y + (y2 − x2 + 0.5x4)(1 − x2)
y′ = x(1 − x2) − y(y2 − x2 + 0.5x4)
−3 ≤ x ≤ 3, −2 ≤ y ≤ 2
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