Question: . Argue that any sufficiently large ball about the origin is a trapping region for the system x = -y+ x(1 -x2 -y2) y= xty(1

. Argue that any sufficiently large ball about the origin is a trapping region for the system x = -y+ x(1 -x2 -y2) y= xty(1 - x2 - y?). Argue why this yields global existence (forward in time) for any choice of initial data. (Hint: use polar coordinates. )

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