On Integrable Natural Hamiltonian Systems on the Suspensions of Toric Automorphism

Autores: Vladimir S. Matveev
Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 11, Nº 2, 2012, págs. 443-447
Idioma: inglés
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Resumen
- We correct a mistake in Liu and Zhang (Qual Theory Dyn Syst 9(1–2):301–318, 2010). Namely, we show that Liu and Zhang [Qual Theory Dyn Syst 9(1–2):301–318, 2010, Theorem 1.1(c)] is wrong for the energy levels that are not greater than the maximum of the potential energy, and formulate and prove the correct statement.
Referencias bibliográficas
- Arnold, V.I.: Mathematical Methods of Classical Mechanics. Nauka, Moscow [Engl. transl.: Graduate Texts in Mathematics, Springer (1989)]
- Katok, A., Hasselblatt, B.: Introduction to the modern theory of dynamical systems. In: Encyclopedia of Math. and its Appl., vol. 54. Cambridge...
- Kruglikov B., Matveev V.: Strictly non-proportional geodesically equivalent metrics have zero topological entropy. Ergod. Theory Dyn. Syst....
- Liu F., Zhang X.: Integrable natural Hamiltonian systems on the suspensions of toric automorphism. Qual. Theory Dyn. Syst. 9(1–2), 301–318...