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Hopf bifurcation in acoustically excited Faraday ripples on a bubble wall

Hopf bifurcation in acoustically excited Faraday ripples on a bubble wall
Hopf bifurcation in acoustically excited Faraday ripples on a bubble wall
Observations of surface waves on the wall of a bubble which is subjected to an acoustical field demonstrate differences in the transient processes, as well as a marked variation in steady state amplitudes, that depend on the insonification conditions. To clarify these observations, the stability analysis of the system has been carried out and the presence of the Hopf bifurcation was established. The appearance of the limiting circle corresponds to the presence of periodic variations in the amplitudes of interacting breathing (volume) and distortion (surface) modes. Comparison between observation and modeling indicate qualitative similarities, for example in that the oscillations will be seen for sufficiently high pressure amplitudes and will be absent at the bottom of the threshold curve for the excitation of the ripples.
nonlinear acoustics, bubbles, bifurcation, surface acoustic waves
9780735405448
229-232
Springer
Maksimov, A.
a25bc59b-3b57-4426-b16d-0f54de7aa21c
Winkels, K.
e12ada78-ed67-4baf-ad7d-5a574156186d
Birkin, P.R.
7882b2b0-26d8-4c9a-ab03-8ad041d2c5ff
Leighton, T.G.
3e5262ce-1d7d-42eb-b013-fcc5c286bbae
Endlo, B.O.
Hedberg, C.M.
Kari, L.
Maksimov, A.
a25bc59b-3b57-4426-b16d-0f54de7aa21c
Winkels, K.
e12ada78-ed67-4baf-ad7d-5a574156186d
Birkin, P.R.
7882b2b0-26d8-4c9a-ab03-8ad041d2c5ff
Leighton, T.G.
3e5262ce-1d7d-42eb-b013-fcc5c286bbae
Endlo, B.O.
Hedberg, C.M.
Kari, L.

Maksimov, A., Winkels, K., Birkin, P.R. and Leighton, T.G. (2008) Hopf bifurcation in acoustically excited Faraday ripples on a bubble wall. Endlo, B.O., Hedberg, C.M. and Kari, L. (eds.) In Nonlinear Acoustics: Fundamentals and Applications. vol. 1022, Springer. pp. 229-232 . (doi:10.1063/1.2956193).

Record type: Conference or Workshop Item (Paper)

Abstract

Observations of surface waves on the wall of a bubble which is subjected to an acoustical field demonstrate differences in the transient processes, as well as a marked variation in steady state amplitudes, that depend on the insonification conditions. To clarify these observations, the stability analysis of the system has been carried out and the presence of the Hopf bifurcation was established. The appearance of the limiting circle corresponds to the presence of periodic variations in the amplitudes of interacting breathing (volume) and distortion (surface) modes. Comparison between observation and modeling indicate qualitative similarities, for example in that the oscillations will be seen for sufficiently high pressure amplitudes and will be absent at the bottom of the threshold curve for the excitation of the ripples.

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More information

Published date: 2008
Venue - Dates: 18th International Symposium on Nonlinear Acoustics - ISNA 18, 2008-07-07 - 2008-07-10
Keywords: nonlinear acoustics, bubbles, bifurcation, surface acoustic waves

Identifiers

Local EPrints ID: 65210
URI: https://eprints.soton.ac.uk/id/eprint/65210
ISBN: 9780735405448
PURE UUID: ddbe1fa2-124a-4f71-ad35-96ddb11a69d1
ORCID for T.G. Leighton: ORCID iD orcid.org/0000-0002-1649-8750

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Date deposited: 23 Feb 2009
Last modified: 14 Mar 2019 01:53

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Contributors

Author: A. Maksimov
Author: K. Winkels
Author: P.R. Birkin
Author: T.G. Leighton ORCID iD
Editor: B.O. Endlo
Editor: C.M. Hedberg
Editor: L. Kari

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