Regular and chaotic bubble oscillations in periodically driven pressure fields

DOI10.1063/1.866466zbMath0636.76116OpenAlexW1998249729MaRDI QIDQ3777733

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Publication date: 1987

Published in: The Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.866466

zbMATH Keywords

Poincaré mapsresonancecomparison of meanssubharmonic bifurcationsmultiple sequencesquasiarithmetic means with weight functions. relatively \(\sigma \)-complete p-product latticesmotion of a single bubbleperiodically driven pressure fieldperturbation of a Hamiltonian system

Mathematics Subject Classification ID

Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Multiphase and multicomponent flows (76T99) Convergence and divergence of series and sequences (40A05) Complete lattices, completions (06B23) Applications of dynamical systems (37N99) Inequalities for sums, series and integrals (26D15) Multiple sequences and series (40B05) Bifurcations in context of PDEs (35B32) Basic methods in fluid mechanics (76M99) Classical field theories (70Sxx)

Related Items (13)

The onset of chaotic oscillations and rapid growth of a spherical bubble at subcritical conditions in an incompressible liquid ⋮ Chaotic motions of a forced droplet-droplet oscillator ⋮ Toward a hydrodynamic theory of sonoluminescence ⋮ The non-linear oscillation of a radially symmetric bubble in a time periodic pressure field ⋮ Bifurcation and chaos in shape and volume oscillations of a periodically driven bubble with two-to-one internal resonance ⋮ Bubble dynamics in time-periodic straining flows ⋮ Thermal relaxation toward equilibrium and periodically pulsating spherical bubbles in an incompressible liquid ⋮ Matter-wave solitons in the presence of collisional inhomogeneities: Perturbation theory and the impact of derivative terms ⋮ Bifurcation and dynamics of periodic solutions to the Rayleigh-plesset equation: theory and numerical simulation ⋮ Symmetry in bubble dynamics. ⋮ Dissolution or growth of soluble spherical oscillating bubbles ⋮ Complex and chaotic response of a non-linear oscillator with an isothermal gas spring ⋮ The thermal behaviour of oscillating gas bubbles

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields

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