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Article Contents

# A model function for non-autonomous bifurcations of maps

• In this paper, we introduce a class of one-dimensional non-autonomous dynamical systems that allow an explicit study of their orbits, of the associated variational equations as well as of certain types of bifurcations. In a special case, the model class can be transformed into the non-autonomous Beverton-Holt equation. We use these model functions for analyzing various notions of non-autonomous transcritical and pitchfork bifurcations that have been recently proposed in the literature.
Mathematics Subject Classification: Primary: 37B55, 34C23; Secondary: 70G60, 37N25.

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