Another Case of Degenerated Discrete Chenciner Dynamic System and Economics

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
Eugenia Grecu: Department of Management, Politehnica University of Timisoara, 300006 Timisoara, Romania

Mathematics, 2022, vol. 10, issue 20, 1-19

Abstract: The non-degenerate Chenciner bifurcation of a discrete dynamical system is studied using a transformation of parameters which must be regular at the origin of the parameters (the condition CH.1 of the well-known treatise of Kuznetsov). The article studies a complementary case, where the transformation is no longer regular at the origin, representing a degeneration. Four different bifurcation diagrams appear in that degenerated case, compared to only two in the non-degenerated one. Degeneracy may cause volatility in economics systems modeled by discrete Chenciner dynamical systems.

Keywords: bifurcation; discrete-time systems; Chenciner; degeneracy (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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