Key points are not available for this paper at this time.
The change in the bifurcation structure of a quadratic map due to the introduction of linear time dependence of the bifurcation parameter is investigated. Although nontrivial fixed points do not exist for this system, a bifurcation diagram can be constructed provided the sweep rate is not too large. The characteristic scaling features and hysteresis effects exhibited in this diagram are studied. Since studies of bifurcation points are often carried out by such parameter variations, the results should provide guides for the interpretation of experimental data.
Kapral et al. (Thu,) studied this question.