Group representation theory, bifurcation theory and pattern formation

Functional analysis

1973 • 14,327 citations

Group Theory - And its Application to the Quantum Mechanics of Atomic Spectra

1959 • 1,682 citations

Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra

1960 • 1,020 citations

Topics in Nonlinear Functional Analysis

2001 • 910 citations

Bifurcation, perturbation of simple eigenvalues, itand linearized stability

1973 • 761 citations

Topics in Stability and Bifurcation Theory

1973 • 696 citations

Finite amplitude cellular convection

1958 • 641 citations

The stability of finite amplitude cellular convection and its relation to an extremum principle

1967 • 536 citations

Symmetry groups and their applications

1972 • 521 citations

Contributions to Nonlinear Functional Analysis

1971 • 412 citations

Phase Transformations in Solids

1970 • 365 citations

Instability and dynamic pattern in cellular networks

1971 • 296 citations

Statistical Mechanics of Fusion

1941 • 259 citations

Nonequilibrium Thermodynamics, Variational Techniques, and Stability

1965 • 215 citations

Bifurcations in the presence of a symmetry group

1973 • 158 citations

Stability of Fluid Motions I

1976 • 116 citations

Non-linear aspects of dynamic pattern in cellular networks

1974 • 94 citations

BRANCHING ANALYSIS FOR THE TAYLOR PROBLEM

1969 • 89 citations

Loss of stability and bifurcation at a double eigenvalue

1973 • 85 citations

Stability and bifurcation in fluid dynamics

1973 • 77 citations

Stability of bifurcating solutions by Leray-Schauder degree

1971 • 77 citations

On the origin of convection

1966 • 67 citations

On the occurrence of cellular motion in Bénard convection

1967 • 65 citations

Branching of solutions of nonlinear equations

1973 • 55 citations

Towards a molecular theory of freezing

1975 • 50 citations

Branching of solutions of an equation in Hilbert space

1970 • 49 citations

Group Representation Theory and Branch Points of Nonlinear Functional Equations

1977 • 48 citations

The Benard Problem for General Fluid Dynamical Equations and Remarks on the Boussinesq Approximation

1970 • 22 citations

Multiple Eigenvalue Bifurcation for Holomorphic Mappings

1971 • 13 citations

A priori bounds for some bifurcation problems in fluid dynamics

1973 • 11 citations

Bifurcation of Convection in Internally Heated Fluid Layers

1972 • 8 citations

INSTABILITY PHENOMENA IN FLUID MECHANICS**This work was supported by the Deutsch Forschungsgemeinschaft.

1976 • 4 citations