Group representation theory, bifurcation theory and pattern formation
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Publication:754469
DOI10.1016/0022-1236(78)90080-0zbMath0416.47027OpenAlexW2024476127MaRDI QIDQ754469
Publication date: 1978
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-1236(78)90080-0
Equations involving nonlinear operators (general) (47J05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Bifurcation, perturbation of simple eigenvalues, and linearized stability
- Loss of stability and bifurcation at a double eigenvalue
- Branching of solutions of an equation in Hilbert space
- Stability of bifurcating solutions by Leray-Schauder degree
- A priori bounds for some bifurcation problems in fluid dynamics
- Branching of solutions of nonlinear equations
- Bifurcations in the presence of a symmetry group
- Stability and bifurcation in fluid dynamics
- Finite amplitude cellular convection
- Group Representation Theory and Branch Points of Nonlinear Functional Equations
- The stability of finite amplitude cellular convection and its relation to an extremum principle
- BRANCHING ANALYSIS FOR THE TAYLOR PROBLEM
- On the occurrence of cellular motion in Bénard convection
- Bifurcation of Convection in Internally Heated Fluid Layers
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