RT Journal Article
SR 00
ID 10.3934/dcdsb.2006.6.1357
A1 Sánchez, Juan
A1 Net, Marta
A1 Vega de Prada, José Manuel
T1 Amplitude equations close to a triple-(+1) bifurcation point of D4-symmetric periodic orbits in O(2) equivariant systems
JF Discrete and Continuous Dynamical Systems Series B
YR 2006
FD 2006-11
VO 6
IS 6
SP 1
OP 24
K1 Amplitude equations, symmetric periodic orbits, thermal convection.
AB A two-dimensional thermal convection problem in a circular annulus subject to a constant inward radial gravity and heated from the inside is considered. A branch of spatio-temporal symmetric periodic orbits that are known only numerically shows a multi-critical codimension-two point with a triple +1-Floquet multiplier. The weakly nonlinear analysis of the dynamics near such point is performed by deriving a system of amplitude equations using a perturbation technique, which is an extension of the Lindstedt-Poincaré method, and solvability conditions. The results obtained using the amplitude equation are compared with those from the original system of partial differential equations showing a very good agreement.
PB American Institute of Mathematical Sciences (AIMS)
SN 1531-3492
LK http://oa.upm.es/6088/
UL http://aimsciences.org/journals/displayArticles.jsp?paperID=1950