Find the approximate center manifold at the origin. Use it to determine the stability type of the origin in the system
\[ \dot {x}=xy \]
\[ \dot {y}=-y+x^2 \]
Question
Math 6410 • ODE
Spring 2024 • Question 6
Question
Spring 2024 • Question 6
Find the approximate center manifold at the origin. Use it to determine the stability type of the origin in the system