Consider the dynamical system x = (1 + y²)x-x³ (E4.1) y = -(1 + y²)y. (E4.2) Locate the fixed points and determine their
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Consider the dynamical system x = (1 + y²)x-x³ (E4.1) y = -(1 + y²)y. (E4.2) Locate the fixed points and determine their
Consider the dynamical system x = (1 + y²)x-x³ (E4.1) y = -(1 + y²)y. (E4.2) Locate the fixed points and determine their stability. Prove that the global attractor is contained in the set x² + y² ≤ 1. Show that the global attractor is actually the set [-1, 1] × {0}.
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