Skip to main content
SpringerLink
Log in

Chaos in Barred Galaxy Models

  • Published:
Astrophysics and Space Science Aims and scope Submit manuscript

Abstract

We investigate the regular and chaotic motion in a model potential found using the recent developments of the Inverse Problem of Dynamics. The potential describes the motion in the central parts of a barred galaxy. In the absence of rotation chaotic motion is observed when the perturbation strength is near the escape perturbation for a fixed value of the energy. In the rotating cases one observes that the area of chaotic motion on the surface of section decreases as the angular velocity Ω increases and finally all orbits become regular. The character of motion is also checked by computing the Liapunov characteristic exponents in all cases.

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

  • Bozis, G.: 1995, Inverse Problems 11, 687.

    Article  MATH  MathSciNet  ADS  Google Scholar 

  • Bozis, G. and Borgero, F.: 1997, Potenziali compatibili, con famiglie di orbite data in forma parametrica in XII Congresso Nationale Associaziona Italiana Di Meccanica Teoreca ed Applicata, Siena 29 Sept-3 Ott., Prof. Pierro Villagio (ed.).

  • Caranicolas, N.D.: 1990, Astron. Astrophys. 227, 54.

    ADS  Google Scholar 

  • Caranicolas, N.D.: 1993, Astron. Astrophys. 267, 368.

    ADS  Google Scholar 

  • Caranicolas, N.D.: 1994, Astron. Astrophys. 287, 752.

    ADS  Google Scholar 

  • Caranicolas, N.D.: 1998, Astron. Astrophys. 332, 88.

    ADS  Google Scholar 

  • Caranicolas, N. and Barbanis, B.: 1982, Astron. Astrophys. 114, 360.

    MATH  MathSciNet  ADS  Google Scholar 

  • Caranicolas, N. and Varvoglis, H.: 1984, Astron. Astrophys. 141, 3383.

    Google Scholar 

  • Caranicolas, N. and Vozikis, Ch.: 1987, Cel. Mech. 40, 35.

    Article  MATH  MathSciNet  ADS  Google Scholar 

  • Caranicolas, N.D. and Innanen, K.A.: 1991, Astron. J. 102, 1343.

    Article  ADS  Google Scholar 

  • Caranicolas, N.D. and Innanen, K.A.: 1992, Astron. J. 103, 1308.

    Article  ADS  Google Scholar 

  • Henrard, J.: 1987a, 'Slow chaotic motion in Hamiltonian Systems', in Proceedings of the first Belgian National Congress on Theoretical and Applied Mechanics, Brussels, May 1987.

  • Henrard, J.: 1987b, 'Hamiltonian chaos in perturbed resonance problems', in Proceedings of the 10th European Regional Astronomy Meeting of the I.A.U., Prague 1987.

  • Innanen, K.A.: 1985, Astron. J. 90, 2377.

    Article  ADS  Google Scholar 

  • Lichtenberg, A.J. and Lieberman, M.A.: 1983, Regular and stochastic motion, Springer, Berlin Heidelberg, New York.

    Google Scholar 

  • Miller, R. and Smith, B.F.: 1979, Astron. J. 227, 785.

    Article  ADS  Google Scholar 

  • Saito, N. and Ichimura, A.: 1979, Stochastic behavior in classical and quantum hamiltonian systems, G. Gasati and J. Ford (eds.), Springer, Berlin, Heidelberg, New York.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Section of Astrophysics, Astronomy and Mechanics, Department of Physics, University of Thessaloniki, GR-54006, Thessaloniki, Macedonia, Greece

    N.D. Caranicolas & G.I. Karanis

Authors
  1. N.D. Caranicolas
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G.I. Karanis
    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

Caranicolas, N., Karanis, G. Chaos in Barred Galaxy Models. Astrophysics and Space Science 259, 45–56 (1998). https://doi.org/10.1023/A:1001511008854

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1001511008854

Keywords

Search

Navigation