Methods of chaos physics and their application to acoustics

Abstract

This article gives an introduction to the research area of chaos physics. The new language and the basic tools are presented and illustrated by examples from acoustics: a bubble in water driven by a sound field and other nonlinear oscillators. The notions of strange attractors and their basins, bifurcations and bifurcation diagrams, Poincaré maps, phase diagrams, fractal dimensions, scaling spectra, reconstruction of attractors from time series, winding numbers, as well as Lyapunov exponents, spectra, and diagrams are addressed.