IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v152y2021ics0960077921006706.html
   My bibliography  Save this article

Hyperchaotic and quasiperiodic behaviors of a two-photon laser with multi-intermediate states

Author

Listed:
  • Barakat, Elsayed
  • Abdel-Aty, M.
  • El-Kalla, I.L.

Abstract

In this paper, we discuss a new prospective of chaotic behaviors of a two-photon laser with multi-intermediate states. The generalized density matrix equations of the two-photon process with a cascade configuration are obtained. The nonlinear dynamics of the laser system is investigated using bifurcation diagrams and maximum Lyapunov exponent spectrum in addition to phase portraits. It is shown that the dynamics of the system is highly sensitive to any parameters’ change. Also, the non-symmetric two intermediate levels are investigated. Rich dynamical exhibitions of the system such as periodic, quasiperiodic, chaotic and hyperchaotic behaviors are obtained due to varying pumping parameter. The considered theoretical model illustrates the distinct dynamical regimes at various cases pumping.

Suggested Citation

  • Barakat, Elsayed & Abdel-Aty, M. & El-Kalla, I.L., 2021. "Hyperchaotic and quasiperiodic behaviors of a two-photon laser with multi-intermediate states," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
  • Handle: RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921006706
    DOI: 10.1016/j.chaos.2021.111316
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077921006706
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2021.111316?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. Wang, Xuedi & Tian, Lixin, 2006. "Bifurcation analysis and linear control of the Newton–Leipnik system," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 31-38.
    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. Sheu, Long-Jye & Chen, Hsien-Keng & Chen, Juhn-Horng & Tam, Lap-Mou & Chen, Wen-Chin & Lin, Kuang-Tai & Kang, Yuan, 2008. "Chaos in the Newton–Leipnik system with fractional order," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 98-103.
    2. Lv, Jian Cheng & Yi, Zhang, 2007. "Stability and chaos of LMSER PCA learning algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1440-1447.
    3. Jia, Qiang, 2008. "Chaos control and synchronization of the Newton–Leipnik chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 35(4), pages 814-824.
    4. Lv, Jian Cheng & Yi, Zhang, 2007. "Some chaotic behaviors in a MCA learning algorithm with a constant learning rate," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 1040-1047.

    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:chsofr:v:152:y:2021:i:c:s0960077921006706. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.