IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v351y2005i1p117-125.html
   My bibliography  Save this article

Two-state Markovian theory of input–output frequency and phase synchronization

Author

Listed:
  • Casado-Pascual, Jesús
  • Gómez-Ordóñez, José
  • Morillo, Manuel

Abstract

A Markovian dichotomic system driven by a deterministic time-periodic force is analyzed in terms of the statistical properties of the switching events between the states. The consideration of the counting process of the switching events leads us to define a discrete phase. We obtain expressions for the instantaneous output frequency and phase diffusion associated to the dichotomic process, as well as for their cycle averages. These expressions are completely determined by the rates of escape from both states. They are a convenient starting point for the study of the stochastic frequency and phase synchronization in a wide range of situations (both classical and quantum) in which two metastable states are involved.

Suggested Citation

  • Casado-Pascual, Jesús & Gómez-Ordóñez, José & Morillo, Manuel, 2005. "Two-state Markovian theory of input–output frequency and phase synchronization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(1), pages 117-125.
    • Handle: RePEc:eee:phsmap:v:351:y:2005:i:1:p:117-125
    DOI: 10.1016/j.physa.2004.12.013
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437104015560
    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/j.physa.2004.12.013?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. Prager, T & Naundorf, B & Schimansky-Geier, L, 2003. "Coupled three-state oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(1), pages 176-185.
    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. Rosas, Alexandre, 2021. "Synchronization induced by alternation of dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    2. Schmid, Gerhard & Hänggi, Peter, 2005. "Controlling nonlinear stochastic resonance by harmonic mixing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(1), pages 95-105.
    3. Paraskevov, A.V. & Minkin, A.S., 2022. "Damped oscillations of the probability of random events followed by absolute refractory period: exact analytical results," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    4. Moy, Tiago & Pinto, Italo’Ivo L.D. & Rosas, Alexandre, 2020. "Finite number fluctuations in a three-state model with growing population," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 555(C).

    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:351:y:2005:i:1:p:117-125. 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.