Analysis of degenerate Chenciner bifurcation

Degenerate Chenciner bifurcation in generic discrete-time dynamical systems is studied in this work. While the non-degenerate Chenciner bifurcation can be described by 2 bifurcation diagrams, the degeneracy we studied in this work gives rise to 32 different bifurcation diagrams.

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Bibliographic Details
Published in:arXiv.org 2024-04
Main Authors: Moza, G, Lugojan, S, Ciurdariu, L
Format: Article
Language:English
Subjects:
Bifurcations
Discrete time systems
Online Access:Get full text
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Description
Summary:Degenerate Chenciner bifurcation in generic discrete-time dynamical systems is studied in this work. While the non-degenerate Chenciner bifurcation can be described by 2 bifurcation diagrams, the degeneracy we studied in this work gives rise to 32 different bifurcation diagrams.
ISSN:2331-8422
DOI:10.48550/arxiv.2404.03350