TY - JOUR
T1 - On limit cycles arising from the parametric excitation of standing waves
AU - Decent, S.P.
AU - Craik, A.D.D.
N1 - Copyright 2004 Elsevier Science B.V., Amsterdam. All rights reserved.
PY - 1997/5
Y1 - 1997/5
N2 - Single-mode limit cycles were recently found as solutions of a nonlinear evolution equation for parametrically excited standing surface waves on liquid in a rectangular container [see Decent and Craik, "Hysteresis in Faraday resonance", J. Fluid Mech. 293, 237-268 (1995)]. Here we examine their structure in detail, both analytically and numerically, and describe local and global bifurcations.
AB - Single-mode limit cycles were recently found as solutions of a nonlinear evolution equation for parametrically excited standing surface waves on liquid in a rectangular container [see Decent and Craik, "Hysteresis in Faraday resonance", J. Fluid Mech. 293, 237-268 (1995)]. Here we examine their structure in detail, both analytically and numerically, and describe local and global bifurcations.
UR - http://www.scopus.com/inward/record.url?scp=0012888756&partnerID=8YFLogxK
U2 - 10.1016/S0165-2125(96)00047-9
DO - 10.1016/S0165-2125(96)00047-9
M3 - Article
AN - SCOPUS:0012888756
SN - 0165-2125
VL - 25
SP - 275
EP - 294
JO - Wave Motion
JF - Wave Motion
IS - 3
ER -