Customer Reviews

Nonlinear Dynamics and Chaos: Geometrical Methods for Engineers and Scientists

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The book is complex enough to provide good information on NLD, chaos, and the associated differential equations, but not so complex you can't get a firm working grasp of the subject. Lots of nice illustrations, clearly and concisely explained. Bifurcations, attractors and all that jazz is in there too if you want to make your own Poincare maps (also explained). I used the information from the book to generate visualizations of an externally excited system moving in and out of different modes of vibration. Such a techinique is not directly explaned in the text, but a good read of the first few chapters will provide the tools to do so. Recommended.

This book contains some standard topics treated on an elementary way. Unfortunatelly mathemathical formalism is almost left out.

The approach to the subject is pretty popular.

I think one is going to invest her/his own time in a better way by working first on V.I.Arnold's "Classical Mechanics" (symplectic formalism) then going on with E. Ott's "Chaos" (one of the best on the subject, but Lichtenberg-Liebermann is also a good one, in my opinion) and, finally, taking a look into some parts of Arnold's "Geometrical methods of ODE". More stuff is available on the Web (arxiv.org --> recent abstracts and new approaches on dynamical systems in Physics). This is a good way to gain a technical basis instead of a popular one.