On the Double-Zero Bifurcation of Jerk Systems

Cristian Lăzureanu ()
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Cristian Lăzureanu: Department of Mathematics, Politehnica University Timişoara, P-ta Victoriei 2, 300006 Timişoara, Romania

Mathematics, 2023, vol. 11, issue 21, 1-12

Abstract: 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.

Keywords: jerk systems; double zero bifurcations; normal forms (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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