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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© 2007 Springer-Verlag Berlin Heidelberg
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(2007). Bifurcations in Dimension One. In: Attractivity and Bifurcation for Nonautonomous Dynamical Systems. Lecture Notes in Mathematics, vol 1907. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71225-1_6
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DOI: https://doi.org/10.1007/978-3-540-71225-1_6
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