Doubling Bifurcations of Invariant Closed Curves in 3D Maps
Numerous studies have reported two types of doubling of Invariant Closed Curves (ICCs) in dynamical systems: (a) the creation of two disjoint ICCs such that iterations flip between them; and (b) the creation of a single ICC of double the length of the original ICC. Various methods have been proposed to analyze such bifurcations. We show that the methods proposed so far are not always adequate for analyzing and predicting these bifurcations. We propose a new method to overcome the difficulties.
Authors
- Soumitro Banerjee (ORCID: https://orcid.org/0000-0003-3576-0846)
- Виктор Аврутин (ORCID: https://orcid.org/0000-0001-7931-8844)
- Iryna Sushko (ORCID: https://orcid.org/0000-0001-5879-0699)
- Soumik Biswas (ORCID: https://orcid.org/0000-0003-0752-5400)
Institutions
- University of Stuttgart (DE)
- Indian Institute of Science Education and Research Kolkata (IN)
- National Academy of Sciences of Ukraine (UA)
- Institute of Mathematics (UA)
Publication Details
- Journal
- International Journal of Bifurcation and Chaos
- Published
- 2025-10-16
- DOI
- https://doi.org/10.1142/s0218127425400127
- Primary Topic
- Advanced Differential Equations and Dynamical Systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00