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I have a choice of taking this advanced ODE course, and I am wondering if this is worth studying. The course will cover mainly chapter 9 of Boyce/DiPrima textbook after we cover existence and uniqueness theorem. Chapter 9 is called "Nonlinear Differential Equations", and covers topics like stability and phase plane, autonomous systems and stability, almost linear systems, Liapunov's second method, periodic solutions and limit cycles, and a little bit on chaos theory. I wonder where I see these kind of topics (physics? engineering?). The course does sound fairly interesting, though.

Thanks

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# How useful is nonlinear ODE (stability, periodic solutions, etc)?

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