Answer Happy

Posted: **Tue Jul 12, 2022 11:59 am**

: Consider The Dynamical System X 1 Y X X E4 1 Y 1 Y Y E4 2 Locate The Fixed Points And Determine Their 1 (22.41 KiB) Viewed 27 times

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}.