Stability properties of zero solution


Assignment:

Use the function V(x,y) = x2 + y2 to analyze the stability properties of the zero solution of the nonlinear system:

x' = x + 2xy^2

y' = - 2x^2y + y

More specifically, what stability conclution(s) can be drawn? (Justify your answer).

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Mathematics: Stability properties of zero solution
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