4. The problem concerns the nonlinear autonomous system x'= x^2 − y^2 , y'= x^2 + y^2 − 8. (a) Find all the critical poi
Posted: Thu May 12, 2022 12:33 pm
4. The problem concerns the nonlinear autonomous system x'= x^2
− y^2 , y'= x^2 + y^2 − 8. (a) Find all the critical points. (b)
For each critical point, find the Jacobian at the point. Determine
whether each critical point is stable or unstable, and classify it
as to type. (c) Sketch the graphs of some solutions.
− y^2 , y'= x^2 + y^2 − 8. (a) Find all the critical points. (b)
For each critical point, find the Jacobian at the point. Determine
whether each critical point is stable or unstable, and classify it
as to type. (c) Sketch the graphs of some solutions.