The proceedings of the Fourth Physics Summer School, held at the Australian National U., Canberra, January 1991, on the basic concepts and recent developments in nonlinear dynamics in conservative and dissipative. The topics covered include the basic mathematical theory as well as applications in physics, electrical engineering, and even management theory. The physical systems considered are mainly classical, but there is some discussion of the status of quantum chaos. No index. Acidic paper. Annotation copyright Book News, Inc. Portland, Or.
Overview of nonlinear dynamics and chaos, R.H.G. Helleman; Hamiltonian
dynamics; area preserving maps; integrability and tori. stability; KAM theory
and chaos, J.D. Meiss; fractal structures in thermal turbulence, I.
Procaccia; bifurcation theory; averaging Melnikov's method; fractals and
strange attractors, K.J. Palmer; dynamical systems; hyperbolicity; KAM
theory; maps of a circle and of an annulus, W.A. Coppel; dynamics of plasmas
an other many-body systems - statistical equations; wave interactions and
turbulence, C. Oberman; application of nonlinear maps to r.f. discharges for
plasma processing, and to digital phase locked loops in comunications, A.J.
Lichtenberg; nonlinear waves in fluids; integrability, solitons and chaos;
triad, quartet and Faraday resonances, R.H.J. Grimshaw; university classes in
the transition to chaos; chaos in economics, management and finance, C.J.
Thompson; and others.
