IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v115y2018icp35-44.html
   My bibliography  Save this article

Switching induced oscillations in discrete one-dimensional systems

Author

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

Abstract

In ecological modeling, seasonality can be represented as an alternation between environmental conditions. We consider a switching strategy that alternates between two undesirable dynamics and find that they can yield a desirable periodic behavior in the case of the Beverton–Holt, Ricker, and modified Ricker maps, which have been extensively used to model ecological populations. For the Ricker and modified Ricker models, we observe coexistence of attractors, which, under the same conditions, define basin of attractions, and the final dynamic behavior depends on the initial conditions.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:chsofr:v:115:y:2018:i:c:p:35-44
    DOI: 10.1016/j.chaos.2018.08.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077918307495
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2018.08.001?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. Silva, Emily & Peacock-Lopez, Enrique, 2017. "Seasonality and the logistic map," Chaos, Solitons & Fractals, Elsevier, vol. 95(C), pages 152-156.
    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. 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.
    4. 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.
    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. Cánovas, Jose S. & Rezgui, Houssem Eddine, 2023. "Revisiting the dynamic of q-deformed logistic maps," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    2. Lai, Joel Weijia & Cheong, Kang Hao, 2022. "Risk-taking in social Parrondo’s games can lead to Simpson’s paradox," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).

    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. 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. Yadav, Anju & Rani, Mamta, 2015. "Alternate superior Julia sets," Chaos, Solitons & Fractals, Elsevier, vol. 73(C), pages 1-9.
    3. Silva, Emily & Peacock-Lopez, Enrique, 2017. "Seasonality and the logistic map," Chaos, Solitons & Fractals, Elsevier, vol. 95(C), pages 152-156.
    4. Lai, Joel Weijia & Cheong, Kang Hao, 2022. "Risk-taking in social Parrondo’s games can lead to Simpson’s paradox," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    5. Wang, Siyi & Chen, Yongqiang & Mei, Ying & He, Wenping, 2023. "The robustness of driving force signals extracted by slow feature analysis," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    6. 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.
    7. Nosrati, Komeil & Shafiee, Masoud, 2018. "Fractional-order singular logistic map: Stability, bifurcation and chaos analysis," Chaos, Solitons & Fractals, Elsevier, vol. 115(C), pages 224-238.
    8. Kumar, Deepak & Rani, Mamta, 2022. "Alternated superior chaotic variants of gravitational search algorithm for optimization problems," Chaos, Solitons & Fractals, Elsevier, vol. 159(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:chsofr:v:115:y:2018:i:c:p:35-44. 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.