Smoller, J.; Wasserman, A. Generic bifurcation of steady-state solutions. (English) Zbl 0488.58015 J. Differ. Equations 52, 432-438 (1984). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 11 Documents MSC: 37G99 Local and nonlocal bifurcation theory for dynamical systems 57R45 Singularities of differentiable mappings in differential topology 35K20 Initial-boundary value problems for second-order parabolic equations 35B32 Bifurcations in context of PDEs Keywords:generic bifurcation of steady-state solutions; time map; ordinary differential equation with homogeneous Dirichlet or Neumann boundary conditions; Morse function; Sard’s theorem PDF BibTeX XML Cite \textit{J. Smoller} and \textit{A. Wasserman}, J. Differ. Equations 52, 432--438 (1984; Zbl 0488.58015) Full Text: DOI Link References: [2] Chow, S.-N; Mallet-Paret, J., Integral averaging and bifurcation, J. Differential Equations, 26, 112-159 (1977) · Zbl 0367.34033 [3] Smoller, J.; Tromba, A.; Wasserman, A., Nondegenerate solutions of boundary-value problems, Nonlinear Anal., 7, 207-215 (1980) · Zbl 0429.34024 [4] Smoller, J.; Wasserman, A., Global bifurcation of steady-state solutions, J. Differential Equations, 39, 269-290 (1981) · Zbl 0425.34028 [5] Smoller, J., Shock Waves and Reaction Diffusion Equations (1983), Springer-Verlag: Springer-Verlag New York/Berlin · Zbl 0508.35002 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.