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Mathematics, Vol. 11, Pages 4468: On the Double-Zero Bifurcation of Jerk Systems
Mathematics doi: 10.3390/math11214468
Authors: Cristian Lăzureanu
In this paper, we construct approximate normal forms of the double-zero bifurcation for a two-parameter jerk system exhibiting a non-degenerate fold bifurcation. More precisely, using smooth invertible variable transformations and smooth invertible parameter changes, we obtain normal forms that are also jerk systems. In addition, we discuss some of their parametric portraits.
