IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v99y1979i1p350-356.html
   My bibliography  Save this article

Stability criterion for Hamiltonian systems

Author

Listed:
  • Lonke, A.
  • Caboz, R.

Abstract

The conditions under which the phase space trajectories of a perturbed Hamiltonian system preserve conditional periodicity are investigated. It is shown that the sufficient and necessary condition for the stability of the system is the self-adjointness of the Liouville operator in the Hilbert space of functions absolute square integrable on the energy surface of the system in the phase space.

Suggested Citation

  • Lonke, A. & Caboz, R., 1979. "Stability criterion for Hamiltonian systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 99(1), pages 350-356.
    • Handle: RePEc:eee:phsmap:v:99:y:1979:i:1:p:350-356
    DOI: 10.1016/0378-4371(79)90142-0
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437179901420
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/0378-4371(79)90142-0?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Benettin, G. & Brambilla, R. & Galgani, L., 1977. "A comment on the reliability of the Toda criterion for the existence of a stochastic transition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 87(2), pages 381-390.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Dellago, Ch. & Posch, H.A., 1996. "Lyapunov instability, local curvature, and the fluid-solid phase transition in two-dimensional particle systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 230(3), pages 364-387.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:99:y:1979:i:1:p:350-356. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.