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Q2: A) For the system x = x + 2xx H (x) - x = 2x + x = xH(x) use the Poincare-Bendixson's criterion

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Q2: A) For the system x = x + 2xx H (x) - x = 2x + x = xH(x) use the Poincare-Bendixson's criterion to examine the existence of a limit cycle for the following assigned functions to H(x) 1) H(x) = |x| 2) H(x) = |x|+|x| Also determine the region in which the limit cycle exist.

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Solutions Step1 1 Hx x Analysis Fixed points The system has a unique fixed point at the origin 0 0 T... blur-text-image

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