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Bifurcations in Dimension One

Part of the Lecture Notes in Mathematics book series (LNM, volume 1907)

The aim of this chapter is to develop nonautonomous counterparts for the classical one-dimensional bifurcation patterns such as the transcritical and pitchfork bifurcation, both for nonautonomous bifurcations and transitions.

In this chapter, only the continuous case of ordinary differential equations is treated. For analogous results in the context of difference equations, see Rasmussen [145].

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© Springer-Verlag Berlin Heidelberg 2007

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