Are There Real-World Examples of Asymptotically Stable Nodes?

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IWantToLearn
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Hi,
i need a real world example of an asymptotically stable node, is there such a thing as asymptotically unstable node?
 
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to be more specific, i need real world examples of a sink node , and a source node
 
Is there a visualizations for the critical points somewhere in the internet?
 

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