4.7: *[30 marks) Poincaré-Bendixson III Consider the system * = -1 – my - ` = r – 3y + 2? – y} (©) Show, using the Poinc

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4 7 30 Marks Poincare Bendixson Iii Consider The System 1 My R 3y 2 Y Show Using The Poinc 1 (104.26 KiB) Viewed 33 times

4.7: *[30 marks) Poincaré-Bendixson III Consider the system * = -1 – my - ` = r – 3y + 2? – y} (©) Show, using the Poincaré-Bendixson Theorem, that the w-limit set of any point pe R2 is the origin. Hint: Find a compact, positively invariant set S = B,(0,0) with suitable p > 0.