Abstract
We prove a global version of the implicit function theorem in the sense that instead of having a parameter dependent point as solution we have a parameter dependent manifold. With the help of this we continue the study of bifurcation for gradient systems which we began in part I with topological methods.
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This work was supported by Grant No. 2.464.71 of the F.N.S.R.S.
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Reeken, M. Stability of critical points under small perturbations part II: Analytic theory. Manuscripta Math 8, 69–92 (1973). https://doi.org/10.1007/BF01317578
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DOI: https://doi.org/10.1007/BF01317578