Email this article Degenerate Resonances in Hamiltonian Systems: From Poincaré–Birkhoff Chains to Vortex Pairs and Kármán Vortex Streets
- Authors: Karabanov A.A.1, Morozov A.D.2
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Affiliations:
- University of Nottingham
- Lobachevski State University of Nizhni Novgorod
- Issue: Vol 219, No 1 (2016)
- Pages: 155-159
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238493
- DOI: https://doi.org/10.1007/s10958-016-3092-7
- ID: 238493
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Abstract
For Hamiltonian systems with two degrees of freedom, close to nonlinear integrable systems, we discuss rearrangements in the degenerate resonance zones in terms of the averaged system normalized near the resonance. For degeneracy order n = 3 we describe typical rearrangements of phase portraits connected with passage from Poincaré–Birkhoff chains to vortex pairs and Kármán vortex streets. Bibliography: 16 titles.
About the authors
A. A. Karabanov
University of Nottingham
Email: morozov@mm.unn.ru
United Kingdom, University Park, Nottingham, NG7 2RD
A. D. Morozov
Lobachevski State University of Nizhni Novgorod
Author for correspondence.
Email: morozov@mm.unn.ru
Russian Federation, 23, Gagarina pr., Nizhni Novgorod, 603950
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