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I'm studying stability theory recently and met a lot of phrases like linear stability and nonlinear instability. After searching on Google, I became more confused. Thus I wonder if there is any approperiate or famous books discussing these issues of dynamical systems.

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closed as off-topic by Emilio Pisanty, John Rennie, Qmechanic Oct 21 '13 at 20:25

  • This question does not appear to be about physics within the scope defined in the help center.
If this question can be reworded to fit the rules in the help center, please edit the question.

This is unfortunately incompatible with the current policy on resource requests. – Emilio Pisanty Oct 21 '13 at 9:47
I close this question (v2) as off-topic because book recommendation questions fit poorly to the Q&A format of Phys.SE. In general Phys.SE only allows a limited number of book recommendation questions. For more information, see various meta posts, e.g. this. – Qmechanic Oct 21 '13 at 20:25

A standard/famous book on dynamical systems, which is very good about nonlinear stability is "Nonlinear Dynamics And Chaos" by S. H. Strogatz.

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