New applications of nonlinear and chaotic dynamics in mechanics Francis C. Moon (ed.), UTAM Symposium (Ithaca, USA, 1997), Kluwer Ac. Publ., 1999, 562 pp., price US$ 307.-, ISBN 0-7923-5276-9.
Reviewer: Ferdinand Verhulst, University of Utrecht, The Netherlands.

Although this book appeared 4 years ago --- your reviewer only just got the book --- it is still an interesting collection of papers. It has nine sections which I will briefly discuss:

1. Analysis tools, bifurcation theory. Notwithstanding the forbidding title this section discusses explicit bifurcation problems and tools for instance on the 1:2-resonance (Bajaj et al.) or the quasi-periodically forced mathieu-equation (Rand et al.). There is a nice introduction to bursts by Knobloch and Moehlis.
2. Elastica, cables and shell dynamics. One theme here is the role of bifurcation in buckling problems, for instance by homoclinic orbits and spatial chaos (Thompson and van der Heijden), long cylindrical shells (Lord et al.) or in drillstrings (Belyaev).
3. Inelastic materials, material processing. A good introduction to machining and chatter control, also the exploration of hysteresis in dynamic models.
4. Machine system dynamics. Contains a survey of the use of nonlinear dynamics in the design of vibration absorbers (Shaw et al.) --- not very complete but interesting --- chains and rotor bearings.
5. Impact and nonsmooth systems. This is an important field with many new phenomena both in mechanics and in mathematics. There are seven papers, on theoretical results (Balachandran et al., Hogan et al.), impact problems (van Campen et al.), experiments (Popp et al.).
6. Circuits, control, cardiac modelling. An interesting demonstration of chaos control (Schiehlen), also cardiac phenomena (Engelbrecht et al.).
7. Vehicle and ship dynamics. Experimental and theoretical results on shimmy in wheels (Stépán), ship dynamics (Spyrou and Bishop) and rail models.
8. Fluid-elastic problems. Nine papers on aeroelasticity, rotorcraft, aircraft stability and hydrodynamic systems. MacMillan and Thompson show how bifurcation analysis can be used in aircraft design. One can learn to build a chaotic water wheel (Kriebel et al.).
9. Spatio-temporal chaos. Short section with experiments and theory.

This important collection of papers should be in any library used by members of the nonlinear dynamics community.