Periodic Orbits of State-Dependent Delay Differential Equations
In this work, we present a method to find periodic orbits for state-dependent delay differential equations. This method is based on the Newton–Kantorovich algorithm and is illustrated in the case of the one-dimensional Cubic Ikeda Map. Though this work is mainly numerical, the techniques developed are aimed to be a posteriori used in the frame of computer-assisted proof.
Authors
- Nancy Corbett (ORCID: https://orcid.org/0009-0009-7099-9626)
- Vincent Naudot (ORCID: https://orcid.org/0000-0002-9483-6874)
Institutions
- Florida Atlantic University (US)
Publication Details
- Journal
- International Journal of Bifurcation and Chaos
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1142/s0218127425500051
- Primary Topic
- Numerical methods for differential equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00