Abstract
In this lecture we develop the theory of unfoldings or perturbations of a bifurcation problem. The underlying mathematics here was first conjectured by R. Thom and made rigorous by J. Mather (See Guillemin and Golubitsky [1973] for references.) The application to bifurcation theory has been pursued by the author and M. Golubitsky in a series of papers. We emphasize that of a smooth function we understand it to be restricted to a suitably small neighborhood. In technical language we are dealing with germs. To smooth the exposition we frequently will not be explicit about this assumption.
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© 1983 D. Reidel Publishing Company
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Schaeffer, D.G. (1983). Topics in Bifurcation Theory. In: Ball, J.M. (eds) Systems of Nonlinear Partial Differential Equations. NATO Science Series C: (closed), vol 111. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7189-9_11
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DOI: https://doi.org/10.1007/978-94-009-7189-9_11
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-009-7191-2
Online ISBN: 978-94-009-7189-9
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