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Nonlinear Dynamical Systems: Book Suggestions

  1. Nov 19, 2009 #1
    Hi all,

    I'm in a position where I have to teach myself an entire course in Dynamical Systems (mostly nonlinear, though there is a linear component)
    I've got several books, including Strogatz (Nonlinear Dynamics and Chaos) and Bauer/Nohel's classic book (A Qualitative Theory of Ordinary Differential Equations).

    I'm able to assimilate most of the theory I need from a combination of these books, without the need for detailed explanations from an instructor/TA.

    Though, I'm having a lot of difficulty using the theory to solve problems. Each book provides problems at the end of the chapter, and I attempt to solve these problems, but I have no way of checking myself-- or to learn from my mistakes.

    So I was wondering if anyone had a recommendation for a good Nonlinear Dynamics book that had a lot of problems and complete worked solutions. Something like one of those calculus study guides filled pretty much with problems and solutions...
    (Something covering a bit of linear sys, nonlinear stability, lyapunouv functions... typical stuff)

    Is anyone familiar with anything like this?

    Many thanks.
  2. jcsd
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