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This article is cited in 5 scientific papers (total in 5 papers)
Nekhoroshev’s Approach to Hamiltonian Monodromy
Dmitrií A. Sadovskií Département de physique, Université du Littoral – Côte d’Opale,
59140, Dunkerque, France
Abstract:
Using the hyperbolic circular billiard, introduced in [31] by Delos et al. as possibly the simplest system with Hamiltonian monodromy, we illustrate the method developed by N. N. Nekhoroshev and coauthors [48] to uncover this phenomenon. Nekhoroshev’s very original geometric approach reflects his profound insight into Hamiltonian monodromy as a general topological property of fibrations. We take advantage of the possibility of having closed form elementary function expressions for all quantities in our system in order to provide the most explicit and detailed explanation of Hamiltonian monodromy and its relation to similar phenomena in other domains.
Keywords:
integrable fibration, Hamiltonian monodromy, first homology, $A_1$ singularity.
Received: 16.08.2016 Accepted: 10.11.2016
Citation:
Dmitrií A. Sadovskií, “Nekhoroshev’s Approach to Hamiltonian Monodromy”, Regul. Chaotic Dyn., 21:6 (2016), 720–758
Linking options:
https://www.mathnet.ru/eng/rcd221 https://www.mathnet.ru/eng/rcd/v21/i6/p720
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Abstract page: | 145 | References: | 30 |
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