Abstract

A review of chaotic dynamics in nonlinear oscillators will be given. Evidence for chaotic phenomena in coupled nonlinear oscillators and wave propagation systems will be presented. In particular, large amplitude vibrations in flexible elastic and acoustic vibrations in a cylindrical cavity will be examined. In the latter problem, nonlinear boundary conditions at the end of the tube produce chaotic modulation of an acoustic carrier signal when excited by a deterministic harmonic signal. How higher‐frequency acoustic waves can excite low‐frequency chaotic vibrations of an elastic end plug of the tube will also be shown. New experimental methods for analyzing chaotic dynamics will be discussed, including Poincare maps and fractal dimensions. Speculation on the existence of chaotic waves in other wave systems will be posited. A demonstration of chaotic oscillations will also be presented.

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