Show that (1, 0) is not stable even though it satisfies (6.26).

| August 30, 2017

uestion
= x − y − x(x2 + y2) +

xy p

x2 + y2

,

y˙ = x + y − y(x2 + y2) −

x2

p

x2 + y2

. (6.34)

Show that (1, 0) is not stable even though it satisfies (6.26). (Hint: Show that

in polar coordinates the system is given by r˙ = r(1 − r2),

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