Bifurcation and chaos in shape and volume oscillations of a periodically driven bubble with two-to-one internal resonance
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Publication:4304669
DOI10.1017/S0022112094000984zbMath0804.76032MaRDI QIDQ4304669
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Publication date: 30 August 1994
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
solvabilityamplitude equationsquadratic resonancedomain perturbation theorytwo-timescale asymptotic approximation
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Cites Work
- Domain perturbations: The higher order theory of infinitesimal water waves
- Orbits homoclinic to resonances, with an applications to chaos in a model of the forced and damped sine-Gordon equation
- Self-propulsion of asymmetrically vibrating bubbles
- Resonance in nonlinear bubble oscillations
- On resonant nonlinear bubble oscillations
- Regular and chaotic bubble oscillations in periodically driven pressure fields
- Small-amplitude perturbations of shape for a nearly spherical bubble in an inviscid straining flow (steady shapes and oscillatory motion)
- Monopole emission of sound by asymmetric bubble oscillations. Part 2. An initial-value problem
- Parametric resonance of a spherical bubble
- The onset of chaotic oscillations and rapid growth of a spherical bubble at subcritical conditions in an incompressible liquid
- Nonlinear effects in the dynamics of shape and volume oscillations for a gas bubble in an external flow
- The lateral migration of a spherical particle in two-dimensional shear flows
- The lateral migration of solid particles in a laminar flow near a plane
- On energy transfer in resonant bubble oscillations
