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Stability, Instability and Chaos

Posted by ubpdqn on April 27, 2013

Unknown Blogger Mathematica

This was a good book. Ir was above my expertise but was instructive nonetheless. It covered the usual value of linearization. It also covered perturbation methods then bifurcation theory (saddlenode, transcritical, pitchfork and Hopf) and then discusses chaos through the horseshoe map concept. I found the discussion of uniomodal maps instructive, particularly unimodal maps without chaos.

I rushed through this book. It was above my head and my rushing reflected my mental state and time commitments. However, despite these caveats with respect to my review, it was a helpful book and motivates me to learn more. The author focuses on concepts and proofs a conceptually constructed. The bibliography is useful.

 

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