In this problem we show how small changes in the
Chapter 9, Problem 27(choose chapter or problem)
In this problem we show how small changes in the coefficients of a system of linearequations can affect a critical point that is a center. Consider the systemx=0 11 0x.Show that the eigenvalues are i so that (0, 0) is a center. Now consider the systemx=11 x,where || is arbitrarily small. Show that the eigenvalues are i. Thus no matter howsmall || = 0 is, the center becomes a spiral point. If < 0, the spiral point is asymptoticallystable; if > 0, the spiral point is unstable.
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer