Skip to main content
Springer Nature Link
Log in

Existence of invariant tori in three-dimensional measure-preserving mappings

  • Published:
Celestial Mechanics and Dynamical Astronomy Aims and scope Submit manuscript

Abstract

In this paper, we formulate and prove the existence theorem of invariant tori which persist under nonlinear perturbations in some three-dimensional measure-preserving mappings.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Cheng Cheng-ging and Sun Yi-sui: Existence of Periodically Invariant Curves in some Measure-preserving Mapping with Three-Dimension' (to appear).

  2. Feingold, M. et al.: 1988; ‘Passive Scalars, Three-Dimensional Volume Preserving Maps and Chaos’, J. Stat. Phys. 50.

  3. Siegel, C. L. and Moser, J. K.: 1971, Lectures on Celestial Mechanics, Springer-Verlag, Berlin, Heidelberg.

    Google Scholar 

  4. Sun Yi-sui: 1983, ‘On the Measure-Preserving Mappings with Odd Dimension’, Celest. Mech. 30, 7.

    Google Scholar 

  5. Sun Yi-sui: 1984, ‘Invariant Manifold in the Measure-Preserving Mappings with Three-Dimension’, Celest. Mech. 33, 111.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Astronomy, Nanjing University, China

    Chong -Qing Cheng & Yi -Sui Sun

Authors
  1. Chong -Qing Cheng
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yi -Sui Sun
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cheng, C.Q., Sun, Y.S. Existence of invariant tori in three-dimensional measure-preserving mappings. Celestial Mech Dyn Astr 47, 275–292 (1989). https://doi.org/10.1007/BF00053456

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00053456

Keywords

Search

Navigation