1. The problem statement, all variables and given/known data How can i classify (1) stable node (2) saddle and (3) center as either (a) stable or asymptotically stable? 2. Relevant equations <None> 3. The attempt at a solution All three are stable. Stable node seems to be asymptotically stable. But I am not sure about Saddle and center? I think saddle is not asymptotically stable.
This can be evaluated by considering real part of eigenvalues < 0. But can you let me visualize it conceptually?