Question: Suppose y' = f(y) is a two-dimensional system that is almost linear at an equilibrium point y(t) = ye: and let z' = Az

Suppose y' = f(y) is a two-dimensional system that is almost linear

Suppose y' = f(y) is a two-dimensional system that is almost linear at an equilibrium point y(t) = ye: and let z' = Az be the corresponding linearized system. Suppose z = 0 is an asymptotically stable equilibrium point for z' = Az. Then y. is also an asymptotically stable equilibrium point for y = f(y). True False

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