Bifurcation Superstructure in a Model of Acoustic Turbulence
- 10 December 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 53 (24), 2304-2307
- https://doi.org/10.1103/physrevlett.53.2304
Abstract
A model of acoustic turbulence is investigated for its bifurcation structure by the calculation of spectral as well as ordinary bifurcation diagrams and (subharmonic) attractor maps. A superstructure resulting from nonlinear resonances is found with period-doubling Feigenbaum direct cascades and Grossmann inverse cascades as fine structure. Connected with the superstructure is a new family of periodic chaos with a different type of chaos belonging to each basic subharmonic period of oscillation.Keywords
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