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Topological Bifurcation

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Topological Nonlinear Analysis

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 15))

Abstract

This paper is devoted to some of the results in bifurcation theory obtained by topological methods in the last 25 years. The cases of one and several parameters will be reviewed, with “necessary” and sufficient conditions for bifurcation, both local and global, and the structure of the bifurcation set will be studied. The case of equivariant bifurcation will be considered, with a special application to the case of abelian groups.

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Ize, J. (1995). Topological Bifurcation. In: Matzeu, M., Vignoli, A. (eds) Topological Nonlinear Analysis. Progress in Nonlinear Differential Equations and Their Applications, vol 15. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2570-6_5

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