Problem 3: Consider the system x = xy y = -x² 1. Show that E = x² + y² is conserved. 2. Show that the origin is a fixed
Posted: Wed May 04, 2022 11:05 am
Problem 3: Consider the system x = xy y = -x² 1. Show that E = x² + y² is conserved. 2. Show that the origin is a fixed point, but not an isolated fixed point. 3. Show that in fact the origin is not surrounded by closed orbits.