Banach space 18
Benard problem 1 151
Bifurcation 4 31 40 51
Bifurcation equations 42 87 89
Bifurcation equations, covariance 87
Bifurcation equations, reduced 71 73
Bifurcation equations, tensor character 89
Bifurcation point 2 37
Bifurcation, Hopf simple eigenvalue 39 84
Bifurcation, multiple eigenvalues 70
Boussinesq equations 5 179
Busse 16 184
Characters 101 103
Conjugacy classes 102 136
Covariance 85 87 89 115
Derivation 133
Doubly periodic functions 154
Dynamo problem 6
Elliptic systems 22
Euclidean invariance 151
Floquet exponents 59
| Frechet derivative 32 33
Fredholm operators 19 21 54
Frobenius 203
G-invariant functions 204 205
Hoelder spaces 23
Hopf 4 31 40 51
Implicit function theorem 35 41 57
Infinitesimal generators 127 134 203
Local transformation groups 201
Lyapounov — Schmidt 70
Newton diagrams 71
Pattern selection 167 181
Phase transitions 183
Projections 20
Prolongation 213 221
Sobolev spaces 23
Stability 38 39 59 64 78 82
Symmetry breaking 151 183
Time periodic solutions 51
Variational methods 185 191
Wave trains 11 13
Wigner 3-j symbols 184
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