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Asymptotically stability 
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#1
Nov408, 01:13 PM

P: 14

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. 


#2
Nov408, 01:17 PM

P: 14

This can be evaluated by considering real part of eigenvalues < 0.
But can you let me visualize it conceptually? 


#3
Nov408, 01:21 PM

P: 14

Moreover, will a "center" be referred to as a stable or unstable equilibrium?



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