IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v45y2012i4p426-432.html
   My bibliography  Save this article

Switching induced complex dynamics in an extended logistic map

Author

Listed:
  • Levinsohn, Erik A.
  • Mendoza, Steve A.
  • Peacock-López, Enrique

Abstract

Switching strategies have been related to the so-called Parrondian games, where the alternation of two losing games yields a winning game. We can consider two dynamics that, by themselves, yield different simple dynamical behaviors, but when alternated, yield complex trajectories. In the analysis of the alternate-extended logistic map, we observe a plethora of complex dynamic behaviors, which coexist with a super stable extinction solution.

Suggested Citation

  • Levinsohn, Erik A. & Mendoza, Steve A. & Peacock-López, Enrique, 2012. "Switching induced complex dynamics in an extended logistic map," Chaos, Solitons & Fractals, Elsevier, vol. 45(4), pages 426-432.
  • Handle: RePEc:eee:chsofr:v:45:y:2012:i:4:p:426-432
    DOI: 10.1016/j.chaos.2011.12.020
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077912000203
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2011.12.020?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. Doering, Charles R., 1998. "Stochastic ratchets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 254(1), pages 1-6.
    2. Amengual, P. & Meurs, P. & Cleuren, B. & Toral, R., 2006. "Reversals of chance in paradoxical games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 641-648.
    3. Buceta, J. & Lindenberg, Katja, 2003. "Patterns in reaction–diffusion systems generated by global alternation of dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(1), pages 230-242.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Mendoza, Steve A. & Matt, Eliza W. & Guimarães-Blandón, Diego R. & Peacock-López, Enrique, 2018. "Parrondo’s paradox or chaos control in discrete two-dimensional dynamic systems," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 86-93.
    2. Kumar, Deepak & Rani, Mamta, 2022. "Alternated superior chaotic variants of gravitational search algorithm for optimization problems," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    3. Yadav, Anju & Rani, Mamta, 2015. "Alternate superior Julia sets," Chaos, Solitons & Fractals, Elsevier, vol. 73(C), pages 1-9.
    4. Mendoza, Steve A. & Peacock-López, Enrique, 2018. "Switching induced oscillations in discrete one-dimensional systems," Chaos, Solitons & Fractals, Elsevier, vol. 115(C), pages 35-44.
    5. Silva, Emily & Peacock-Lopez, Enrique, 2017. "Seasonality and the logistic map," Chaos, Solitons & Fractals, Elsevier, vol. 95(C), pages 152-156.

    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. Iqbal, Naveed & Wu, Ranchao & Liu, Biao, 2017. "Pattern formation by super-diffusion in FitzHugh–Nagumo model," Applied Mathematics and Computation, Elsevier, vol. 313(C), pages 245-258.
    2. Ladeynov, D.A. & Egorov, D.G. & Pankratov, A.L., 2023. "Stochastic versus dynamic resonant activation to enhance threshold detector sensitivity," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    3. Mendoza, Steve A. & Peacock-López, Enrique, 2018. "Switching induced oscillations in discrete one-dimensional systems," Chaos, Solitons & Fractals, Elsevier, vol. 115(C), pages 35-44.
    4. Gafiychuk, V.V. & Datsko, B.Yo., 2006. "Pattern formation in a fractional reaction–diffusion system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 365(2), pages 300-306.

    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:chsofr:v:45:y:2012:i:4:p:426-432. 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.