4. Consider the continuous system x' = (x^2 +x−2) ((y−1)^2 −λ), y' = x − y for a real-valued parameter λ. (a) Determine
Posted: Mon May 09, 2022 11:24 am
4. Consider the continuous system x' = (x^2 +x−2) ((y−1)^2 −λ),
y' = x − y for a real-valued parameter λ.
(a) Determine all equilibrium points of the system, and classify
their stability for all values of λ.
(b) Sketch and label the bifurcation diagram of the system.
y' = x − y for a real-valued parameter λ.
(a) Determine all equilibrium points of the system, and classify
their stability for all values of λ.
(b) Sketch and label the bifurcation diagram of the system.