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Hysteresis in cavitation emissions during a ramped-then-deramped amplitude sonication

Hysteresis in cavitation emissions during a ramped-then-deramped amplitude sonication
Hysteresis in cavitation emissions during a ramped-then-deramped amplitude sonication

Dynamic hysteresis in cavitation emissions is investigated experimentally and numerically using a continuous ramped-then-deramped acoustic excitation. Hydrophone spectrograms reveal clear asymmetries between the ramped and deramped phases at identical excitation amplitudes, including differences in harmonic, subharmonic, and broadband components. These observations show that the acoustic state of the bubble population depends on the excitation history. A fully coupled 12-bubble model, incorporating spatially resolved interaction forces, reproduces all salient experimental features, including the subharmonic route to chaos, broadband emission, and broadband clearing. Poincaré mapping and continuation analysis reveal multiple coexisting attractors, distinguished by oscillation amplitude and period, delimited by saddle-node and period-doubling bifurcations. The hysteresis observed under continuous excitation arises from history-dependent convergence to these attractors. Basin-of-attraction computations demonstrate that attractor selection depends jointly on initial conditions and bubble-bubble interaction, enabling different bubbles to converge to distinct attractors under identical excitation amplitudes. Together, these results establish a physically interpretable nonlinear-dynamical mechanism underlying hysteresis in cavitation emission.
0924-090X
Zhang, Yikai
87ef7eea-1c9a-4b95-86c6-661ddbe58088
Li, Shida Li
6154304b-de54-409e-b9ba-6c7326e5bbe1
Prentice, Paul
f5a1b095-999c-437e-a8ac-515f335b829f
Cammarano, Andrea
c0c85f55-3dfc-4b97-9b79-e2554406a12b
Zhang, Yikai
87ef7eea-1c9a-4b95-86c6-661ddbe58088
Li, Shida Li
6154304b-de54-409e-b9ba-6c7326e5bbe1
Prentice, Paul
f5a1b095-999c-437e-a8ac-515f335b829f
Cammarano, Andrea
c0c85f55-3dfc-4b97-9b79-e2554406a12b

Zhang, Yikai, Li, Shida Li, Prentice, Paul and Cammarano, Andrea (2026) Hysteresis in cavitation emissions during a ramped-then-deramped amplitude sonication. Nonlinear Dynamics, 114, [591]. (doi:10.1007/s11071-026-12462-3).

Record type: Article

Abstract


Dynamic hysteresis in cavitation emissions is investigated experimentally and numerically using a continuous ramped-then-deramped acoustic excitation. Hydrophone spectrograms reveal clear asymmetries between the ramped and deramped phases at identical excitation amplitudes, including differences in harmonic, subharmonic, and broadband components. These observations show that the acoustic state of the bubble population depends on the excitation history. A fully coupled 12-bubble model, incorporating spatially resolved interaction forces, reproduces all salient experimental features, including the subharmonic route to chaos, broadband emission, and broadband clearing. Poincaré mapping and continuation analysis reveal multiple coexisting attractors, distinguished by oscillation amplitude and period, delimited by saddle-node and period-doubling bifurcations. The hysteresis observed under continuous excitation arises from history-dependent convergence to these attractors. Basin-of-attraction computations demonstrate that attractor selection depends jointly on initial conditions and bubble-bubble interaction, enabling different bubbles to converge to distinct attractors under identical excitation amplitudes. Together, these results establish a physically interpretable nonlinear-dynamical mechanism underlying hysteresis in cavitation emission.

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Accepted/In Press date: 8 March 2026
e-pub ahead of print date: 21 April 2026
Published date: 21 April 2026

Identifiers

Local EPrints ID: 511064
URI: http://eprints.soton.ac.uk/id/eprint/511064
ISSN: 0924-090X
PURE UUID: 5ead83b4-5245-4053-b1f4-fe1bb54a805c
ORCID for Andrea Cammarano: ORCID iD orcid.org/0000-0002-8222-8150

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Date deposited: 30 Apr 2026 16:47
Last modified: 01 May 2026 02:14

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Contributors

Author: Yikai Zhang
Author: Shida Li Li
Author: Paul Prentice
Author: Andrea Cammarano ORCID iD

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