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CHAOS OF LIQUID SURFACE WAVES IN A VESSEL UNDER VERTICAL EXCITATION WITH SLOWLY MODULATED AMPLITUDE 被引量:1

CHAOS OF LIQUID SURFACE WAVES IN A VESSEL UNDER VERTICAL EXCITATION WITH SLOWLY MODULATED AMPLITUDE
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摘要 Free surface waves in a cylinder of liquid under vertical excitation with slowly modulated amplitude are investigated in the current paper. It is shown by both theoretical analysis and numerical simulation that chaos may occur even for a single mode with modulation which can be used to explain Gollub and Meyer's experiment. The implied resonant mechanism accounting for this phenomenon is further elucidated. Free surface waves in a cylinder of liquid under vertical excitation with slowly modulated amplitude are investigated in the current paper. It is shown by both theoretical analysis and numerical simulation that chaos may occur even for a single mode with modulation which can be used to explain Gollub and Meyer's experiment. The implied resonant mechanism accounting for this phenomenon is further elucidated.
出处 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 1997年第2期106-112,共7页 力学学报(英文版)
关键词 Faraday experiment CHAOS resonant interaction Faraday experiment chaos resonant interaction
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参考文献8

  • 1Gollub JP,Ramshankar R.Spatiotemporal chaos in interfacial waves. New Perspective in Turbulence . 1993
  • 2Miles J,Henderson D.Parametrically forced surface waves. Annual Review of Fluid Mechanics . 1990
  • 3Kambe T,Umeki M.Nonlinear dynamics of two-mode interactions in parametric excitation of surface waves. Journal of Fluid Mechanics . 1990
  • 4Gollub JP,Meyer CW.Symmetry-breaking instabilities on a fluid surface. Physica D Nonlinear Phenomena . 1983
  • 5Pardoux E,Peng S.Backward stochastic differential equations and quasilinear parabolic partial differential equations and their applications. Stochastic Partial Differential Equations and Their Applications . 1992
  • 6Faraday M.On the forms and states assumed by fluids in contact with vibrating-elastic surfaces. Philosophical Transactions of the Royal Society of London .
  • 7Miles JW.Nonlinear Faraday resonance. Journal of Fluid Mechanics . 1984
  • 8Ciliberto S,Gollub JP.Chaotic mode competition in parametrically forced surface wave. Journal of Fluid Mechanics . 1985

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