Chenciner Bifurcation Presenting a Further Degree of Degeneration

Sorin Lugojan, Loredana Ciurdariu and Eugenia Grecu
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Sorin Lugojan: Department of Mathematics, Politehnica University of Timisoara, 300006 Timisoara, Romania
Loredana Ciurdariu: Department of Mathematics, Politehnica University of Timisoara, 300006 Timisoara, Romania

Mathematics, 2022, vol. 10, issue 9, 1-17

Abstract: Chenciner bifurcation appears for some two-dimensional systems with discrete time having two independent variables. Investigated here is a special case of degeneration where the implicit function theorem cannot be used around the origin, so a new approach is necessary. In this scenario, there are many more bifurcation diagrams than in the two non-degenerated cases. Several numerical simulations are presented.

Keywords: degeneracy; bifurcation; Chenciner; discrete systems (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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