Consider the almost linear system x' Ax gx' Let r1 and r2 be the eigenvalues of A' Then the type and

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• Consider the almost linear system x' Ax g(x).
  Let r1 and r2 be the eigenvalues of A. Then the
  type and stability of the critical point (0,0) of
  the linear system x' Ax and the almost linear
  system x' Ax g(x) are as given in the table
  below.