Skip to main content
SpringerLink
Log in

Instability of trajectories of a class of Hamiltonian systems

  • Published:
Lettere al Nuovo Cimento (1971-1985)

Summary

The Toda-Brumer criterion for testing the instability of trajectories is applied to the Hamiltonian function with potential U(x) =x 2 1/2 +x 2 2/2 + μx n 1 x n 2 (n positive and even). The threshold valueE c in dependence of μ andn is calculated.

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

Access this article

Log in via an institution

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. R. A. Pullen andA. R. Edmonds:J. Phys. A: Math. Nucl. Gen.,14, L477 (1981).

    Article  MathSciNet  ADS  Google Scholar 

  2. E. Haller, H. Köppel andL. S. Cederbaum:Phys. Rev. Lett.,52, 1665 (1984).

    Article  ADS  Google Scholar 

  3. M. Toda:Phys. Lett. A,48, 335 (1974).

    Article  MathSciNet  ADS  Google Scholar 

  4. P. Brumer andJ. W. Duet:J. Chem. Phys.,65, 3566 (1976).

    Article  ADS  Google Scholar 

  5. C. P. Enz, M. O. Hongler andC.V. Quach Thi:Helv. Phys. Acta,48, 787 (1975).

    Google Scholar 

  6. G. Benettin, R. Brambilla andL. Galgani:Physica A,87, 381 (1977).

    Article  ADS  Google Scholar 

  7. K. C. Mo:Physica,57, 445 (1972).

    Article  ADS  Google Scholar 

  8. S. G. Matinyan, G. K. Savvidi andN. R. Ter-Arutyunyan-Savvidi:Sov. Phys. JETP,53, 421 (1981).

    Google Scholar 

  9. E. Haller, H. Köppel andL. S. Cederbaum:Phys. Rev. Lett.,52, 1665 (1984).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Rand Afrikaans University, P.O. Box 524, 2000, Johannesburg, Republie of South Africa

    W. -H. Steeb

  2. Kraftwerkunion, Rechenzentrum, D-8520, Erlangen, West Germany

    A. Kunick

Authors
  1. W. -H. Steeb
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Kunick
    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

Steeb, W.H., Kunick, A. Instability of trajectories of a class of Hamiltonian systems. Lett. Nuovo Cimento 42, 89–91 (1985). https://doi.org/10.1007/BF02748310

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02748310

PACS

Search

Navigation