Consider the two dimensional autonomous system x y 1 4 x 1 2 xy y 1 2 y 2 1 2 xyx 1 4 x 1 2 xyy y 1 2 y 2 1 2 xy ( a ) The critical points of the system above have the form x 0 0 0 , x 1 0 y 1 , x 2 x 2 y 2 x 0 0 0 , x 1 0 y 1 , x 2 x 2 y 2 Find these components

Question

Consider the two   dimensional autonomous system x y   1 4 x   1 2 xy   y 1 2 y 2 1 2 xyx   1 4 x   1 2 xyy   y 1 2 y 2 1 2 xy ( a ) The critical points of the system above have the form x 0     0 0   , x 1     0 y 1   , x 2     x 2 y 2     x 0     0 0   , x 1     0 y 1   , x 2     x 2 y 2     Find these components

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Consider the two - dimensional autonomous system x y = 1 4 x + 1 2 xy = y 1 2 y 2 1 2

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