Periodic Orbit-Dividing Surfaces in Rotating Hamiltonian Systems with Three Degrees of Freedom – I
In this paper, we extend the notion of periodic orbit-dividing surfaces (PODSs) to rotating Hamiltonian systems with three degrees of freedom. First, we present how to apply our first method for the construction of PODSs [ Katsanikas & Wiggins , 2021a , 2023a ] to rotating Hamiltonian systems with three degrees of freedom. Then, we study the structure of these surfaces in a rotating quadratic normal-form Hamiltonian system with three degrees of freedom.
Authors
- Matthaios Katsanikas (ORCID: https://orcid.org/0000-0002-1098-458X)
- Stephen Wiggins (ORCID: https://orcid.org/0000-0002-0780-0911)
Institutions
- United States Naval Academy (US)
- Academy of Athens (GR)
- University of Bristol (GB)
Publication Details
- Journal
- International Journal of Bifurcation and Chaos
- Published
- 2024-08-23
- DOI
- https://doi.org/10.1142/s0218127424501438
- Primary Topic
- Quantum chaos and dynamical systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Engineering and Physical Sciences Research Council