(adsbygoogle = window.adsbygoogle || []).push({}); 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

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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.

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# Asymptotically stability

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