Nonlinear dynamics and chaos in parametric sound generation

2005/02/18 by Victor J. Sanchez-Morcillo, V. J. Sánchez-Morcillo, V. Espinosa +7
Engineering · Physics and Astronomy · #Acoustic Wave Phenomena Research #Advanced MEMS and NEMS Technologies #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Mechanical and Optical Resonators #nlin.CD

paper · pdf · doi:10.48550/arxiv.nlin/0502042

7 pages, 5 figures

arxiv created 2005/02/18 · openalex publication_date 2005/02/18 · arxiv updated 2016/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A theoretical analysis of the subharmonic generation process in an acoustical resonator (interferometer) with plane walls is performed. It is shown that, when both the pumping wave and the generated subharmonic are detuned with respect to the resonator modes, the fields can display complex temporal behaviour such as self-pulsing and chaos. A discussion about the acoustical parameters required for the experimental observation of the phenomenon is given.

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