Open AccessFLOQUET ANALYSIS FOR PATTERNS ON THE SURFACE OF FLUID SUBJECT TO DOUBLE-FREQUENCY EXCITATION
Author(s) -
Weizhong Chen,
Rongjue Wei
Publication year - 1999
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.48.2259
Subject(s) - excitation , floquet theory , physics , faraday cage , parametric statistics , spectral line , low frequency , mechanics , nonlinear system , mathematics , quantum mechanics , statistics , magnetic field , astronomy
The dynamical behaviors of onset patterns on the surface of viscous liquid in the large-aspect-ratio container under double-frequency parametric excitation have been investigated theoretically.The calculation shows the lower margin curves of exciting acceleration for pattern formation,the response modes and the frequency spectra of the pattern as well.Furthermore,the bicritical phenomenon found in the double-frequency Faraday experiments is also studied.All of the results from the theoretical calculation are in excellent agreement with those measured by Edwards et al. without any adjustable parameter.