Skip to main content
Log in

On Integrable Natural Hamiltonian Systems on the Suspensions of Toric Automorphism

  • Published:
Qualitative Theory of Dynamical Systems Aims and scope Submit manuscript

Abstract

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Arnold, V.I.: Mathematical Methods of Classical Mechanics. Nauka, Moscow [Engl. transl.: Graduate Texts in Mathematics, Springer (1989)]

  2. Katok, A., Hasselblatt, B.: Introduction to the modern theory of dynamical systems. In: Encyclopedia of Math. and its Appl., vol. 54. Cambridge University Press, Cambridge (1995)

  3. Kruglikov B., Matveev V.: Strictly non-proportional geodesically equivalent metrics have zero topological entropy. Ergod. Theory Dyn. Syst. 26(1), 247–266 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  4. Liu F., Zhang X.: Integrable natural Hamiltonian systems on the suspensions of toric automorphism. Qual. Theory Dyn. Syst. 9(1–2), 301–318 (2010)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Vladimir S. Matveev.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Matveev, V.S. On Integrable Natural Hamiltonian Systems on the Suspensions of Toric Automorphism. Qual. Theory Dyn. Syst. 11, 443–447 (2012). https://doi.org/10.1007/s12346-012-0067-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12346-012-0067-z

Keywords

Navigation