Basaran, O. A. 1992 Nonlinear oscillations of viscous liquid drops. J. Fluid Mech. 241, 169–198.
Basaran, O. A. & DePaoli, D. W. 1994 Nonlinear oscillations of pendant drops. Phys. Fluid. 6, 2923–2943.
Benjamin, T. B. & Ursell, F. 1954 The stability of the plane free surface of a liquid in vertical periodic motion. Proc. R. Soc. Lond. A 225, 505–515.
Besson, T., Edwards, W. S. & Tuckerman, L. S. 1996 Two-frequency parametric excitation of surface waves. Phys. Rev. E 54, 507–513.
Cabeza, C., Negreira, C., Schifino, A. C. & Gibiat, V. 2000 Experimental determination of point localized time correlation and power spectrum in a Faraday experiment. Intl J. Bifur. Chao. 10, 2233–2244.
Christiansen, B., Alstrom, P. & Levinsen, M. T. 1995 Dissipation and ordering in capillary waves at high aspect ratios. J. Fluid Mech. 291, 323–341.
Crum, L. A. & Roy, R. A. 1994 Sonoluminescence. Science, 266, 233–234.
DePaoli, D. W., Feng, J. Q., Basaran, O. A. & Scott, T. C. 1995 Hysteresis in forced oscillations of pendant drops. Phys. Fluid. 7, 1181–1183.
Douady, S. 1990 Experimental study of the Faraday instability. J. Fluid Mech. 221, 383–409.
Edwards, W. S. & Fauve, S. 1994 Patterns and quasi-patterns in the Faraday experiment. J. Fluid Mech. 278, 123–148.
Faraday, M. 1831 On a peculiar class of acoustical figures, and on certain forms assumed by groups of particles upon vibrating elastic surfaces. Phil. Trans. R. Soc. Lond. 121, 299–340.
Ganán, A. & Barrero, A. 1990 Free oscillations of liquid captive drops. Microgravity Sci. Technol. 3, 70–86.
Gluckman, B. J., Arnold, C. B. & Gollub, J. P. 1995 Statistical studies of chaotic wave patterns. Phys. Rev. E 51, 1128–1147.
Gollub, J. P. & Langer, J. S. 1999 Pattern formation in nonequilibrium physics. Rev. Mod. Phys. 71, 396–403.
Henderson, D. M. 1998 Effects of surfactants on Faraday-wave dynamics. J. Fluid Mech. 365, 89–107.
Henderson, D. M. & Miles, J. W. 1994 Surface-wave damping in a circular cylinder with a fixed contact line. J. Fluid Mech. 275, 285–299.
Hocking, L. M. 1987 The damping of capillary–gravity waves at a rigid boundary. J. Fluid Mech. 179, 253–266.
James, A., Vukasinovic, B., Smith, M. K. & Glezer, A. 2003 a Vibration-induced drop atomization and bursting. J. Fluid Mech. 476, 1–28.
James, A., Smith, M. K. & Glezer, A. 2003 b Vibration-induced drop atomization and the numerical simulation of low-frequency single-droplet ejection. J. Fluid Mech. 476, 29–62.
Kumar, K. 1996 Linear theory of Faraday instability in viscous liquids. Proc. R. Soc. Lond. A 452, 1113–1126.
Lamb, H. 1932 Hydrodynamics. Cambridge University Press.
Landau, L. & Lifshitz, E. M. 1987 Fluid Mechanics. 2nd edn, Pergamon.
Lee, C. P., Anilkumar, A. V. & Wang, T. G. 1991 Static shape and instability of an acoustically levitated drop. Phys. Fluid. 3, 2497–2515.
Leissa, A. W. & Chern, Y. T. 1992 Approximate analysis of the forced vibration response of plates. J. Vib. Acousts Trans. ASM. 114, 106–111.
Lighthill, M. J. 1978 Waves in Fluids. Cambridge University Press.
Lundgren, T. S. & Mansour, N. N. 1988 Oscillations of drops in zero gravity with weak viscous effects. J. Fluid Mech. 194, 479–510.
Lyubimov, D. V., Lyubimova, T. P. & Shklyaev, S. V. 2006 Behaviour of a drop on an oscillating solid plate. Phys. Fluid. 18, 012101.
Mesquita, O. N., Kane, S. & Gollub, J. P. 1992 Transport by capillary waves: fluctuating Stokes drift. Phys. Rev. A 45, 3700–3705.
Miles, J. W. 1967 Surface-wave damping in closed basins. Proc. R. Soc. Lond. A 297, 459–475.
Miles, J. W. 1984 Nonlinear Faraday resonance. J. Fluid Mech. 146, 285–302.
Miles, J. W. 1991 The capillary boundary layer for standing waves. J. Fluid Mech. 222, 197– 205.
Miles, J. & Henderson, D. 1990 Parametrically forced surface waves. Annu. Rev. Fluid Mech. 22, 143–165.
Noblin, X., Buguin, A. Brochard-Wyart, F. 2004 Vibrated sessile drops: transition between pinned and mobile contact line oscillations. Eur. Phys. J. E 14, 395–404.
Noblin, X., Buguin, A. & Brochard-Wyart, F. 2005 Triplon modes of puddles. Phys. Rev. Lett. 94, 166102.
Perlin, M. & Schultz, W. W. 2000 Capillary effects on surface waves. Annu. Rev. Fluid Mech. 32, 241–274.
Pratt, W. K. 1978 Digital Image Processing. John Wiley.
Prosperetti, A. 1980 Free oscillations of drops and bubbles: the initial-value problem. J. Fluid Mech. 100, 333–347.
Prosperetti, A. & Oguz, H. N. 1993 Impact of drops on liquid surfaces and the underwater noise of rain. Annu. Rev. Fluid Mech. 25, 577–602.
Range, K., Smith, M. K., & Glezer, A. 1998 An experimental investigation of vibration-induced single droplet ejection. Fifty-First Meeting of the American Physical Society – Division of Fluid Dynamics, Philadelphia, PA, November 22–24.
Rayleigh, Lord 1879 On the capillary phenomena of jets. Proc. R. Soc. Lond. A 29, 71–97.
Rodot, H., Bisch, C. & Lasek, A. 1979 Zero-gravity simulation of liquids in contact with a solid surface. Acta Astronaut. 6, 1083–1092.
Siekmann, J. & Schilling, U. 1989 On the vibrations of an inviscid liquid droplet contacting a solid wall in a low-gravity environment. Appl. Microgravity Technol. 2, 17–26.
Simonelli, F. & Gollub, J. P. 1989 Surface wave mode interactions: effects of symmetry and degeneracy. J. Fluid Mech. 199, 471–494.
Strani, M. & Sabetta, F. 1984 Free vibrations of a drop in partial contact with a solid support. J. Fluid Mech. 141, 233–247.
Strani, M. & Sabetta, F. 1988 Viscous oscillations of a supported drop in an immiscible fluid. J. Fluid Mech. 189, 397–421.
Trinh, E. & Wang, T. G. 1982 Large-amplitude free and driven drop-shape oscillations: experimental observations. J. Fluid Mech. 122, 315–338.
Trinh, E., Zwern, A. & Wang, T. G. 1982 An experimental study of small-amplitude drop oscillations in immiscible liquid systems. J. Fluid Mech. 115, 453–474.
Tsamopoulos, J. H. & Brown, R. A. 1983 Nonlinear oscillations of inviscid drops and bubbles. J. Fluid Mech. 127, 519–537.
Vukasinovic, B. 2002 Vibration-induced droplet atomization. PhD thesis, Georgia Institute of Technology.
Vukasinovic, B., Smith, M. K. & Glezer, A. 2007 Mechanisms of free-surface breakup in vibration-induced liquid atomization. Phys. Fluid. 19, 012104.
Wilkes, E. D. & Basaran, O. A. 1997 Forced oscillations of pendant (sessile) drops. Phys. Fluid. 9, 1512–1528.
Wilkes, E. D. & Basaran, O. A. 1999 Hysteretic response of supported drops during forced oscillations. J. Fluid Mech. 393, 333–356.