TY - JOUR
T1 - The application of centre manifolds to amplitude expansions. II. Infinite dimensional problems
AU - Carr, Jack
AU - Muncaster, Robert G.
N1 - Funding Information:
* Research completed during a visit to the Division of Applied Mathematics. Brown University, Providence, RI., during 197881979, and was supported in part by the United States Army, Durham, under Grant ARODDAAG 29.76.G0294. t Research supported initially by a grant from the Science Research Council of Great Britain during a visit to Heriot-Watt University, Edinburgh, in 1976-1979, and subsequently by the National Science Foundation under Grant MCS8001845. ’ Carr and Muncaster 13). hereafter referred to as [I].
PY - 1983/11
Y1 - 1983/11
N2 - The theory of centre manifolds for infinite dimensional systems is described, with emphasis on the practical computational aspects of applying the theory to near-critical problems, and in particular to computation of the centre manifold. The calculations are illustrated by detailed analyses of two specific problems.
AB - The theory of centre manifolds for infinite dimensional systems is described, with emphasis on the practical computational aspects of applying the theory to near-critical problems, and in particular to computation of the centre manifold. The calculations are illustrated by detailed analyses of two specific problems.
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U2 - 10.1016/0022-0396(83)90078-5
DO - 10.1016/0022-0396(83)90078-5
M3 - Article
AN - SCOPUS:0001226484
SN - 0022-0396
VL - 50
SP - 280
EP - 288
JO - Journal of Differential Equations
JF - Journal of Differential Equations
IS - 2
ER -