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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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  • $\begingroup$ This is unfortunately incompatible with the current policy on resource requests. $\endgroup$ Oct 21, 2013 at 9:47
  • $\begingroup$ 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. $\endgroup$
    – Qmechanic
    Oct 21, 2013 at 20:25

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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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