IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v463y2016icp37-44.html
   My bibliography  Save this article

Squared sine logistic map

Author

Listed:
  • de Carvalho, R. Egydio
  • Leonel, Edson D.

Abstract

A periodic time perturbation is introduced in the logistic map as an attempt to investigate new scenarios of bifurcations and new mechanisms toward the chaos. With a squared sine perturbation we observe that a point attractor reaches the chaotic attractor without following a cascade of bifurcations. One fixed point of the system presents a new scenario of bifurcations through an infinite sequence of alternating changes of stability. At the bifurcations, the perturbation does not modify the scaling features observed in the convergence toward the stationary state.

Suggested Citation

  • de Carvalho, R. Egydio & Leonel, Edson D., 2016. "Squared sine logistic map," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 463(C), pages 37-44.
    • Handle: RePEc:eee:phsmap:v:463:y:2016:i:c:p:37-44
    DOI: 10.1016/j.physa.2016.07.008
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437116304393
    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.2016.07.008?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. Costa Júnior, Manoel Pedro da & Khan, Ahmad Saeed & Sousa, Eliane Pinheiro de & Lima, Patrícia Verônica Pinheiro Sales, 2015. "53," Revista de Economia e Sociologia Rural (RESR), Sociedade Brasileira de Economia e Sociologia Rural, vol. 53(2), January.
    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. Louzzani, Noura & Boukabou, Abdelkrim & Bahi, Halima & Boussayoud, Ali, 2021. "A novel chaos based generating function of the Chebyshev polynomials and its applications in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    2. Lu, Guangqing & Smidtaite, Rasa & Navickas, Zenonas & Ragulskis, Minvydas, 2018. "The Effect of Explosive Divergence in a Coupled Map Lattice of Matrices," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 308-313.

    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. Costanza, E.F. & Costanza, G., 2017. "One-dimensional lattices topologically equivalent to three-dimensional lattices within the context of the lattice gas model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 481(C), pages 41-51.
    2. Costanza, E.F. & Costanza, G., 2016. "One-dimensional lattices topologically equivalent to two-dimensional lattices within the context of the lattice gas model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 459(C), pages 32-41.
    3. Edberg, Dana & Mukhopadhyay, Sankar & Wendel, Jeanne, 2019. "Incentive design to boost health for juveniles with Medicaid coverage: Evidence from a field experiment," Economics & Human Biology, Elsevier, vol. 33(C), pages 101-115.
    4. Salgado, C.M. & de Carvalho, N.L. & de Arruda, P.H.Z. & Godoy, M. & de Arruda, A.S. & Costabile, Emanuel & de Sousa, J. Ricardo, 2019. "Random transverse single-ion anisotropy in the spin−1 Blume–Capel quantum model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 522(C), pages 18-32.
    5. Prestipino, Santi & Malescio, Gianpietro, 2016. "Characterization of the structural collapse undergone by an unstable system of ultrasoft particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 457(C), pages 492-505.
    6. Salmon, Octavio D. Rodriguez & de Sousa, José Ricardo & Neto, Minos A. & Padilha, Igor T. & Azevedo, J. Roberto Viana & Neto, Francisco Dinóla, 2016. "The spin-3/2 Blume–Capel model with competing short- and long-range interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 464(C), pages 103-114.
    7. Leibrecht, Markus & Pitlik, Hans, 2015. "Social trust, institutional and political constraints on the executive and deregulation of markets," European Journal of Political Economy, Elsevier, vol. 39(C), pages 249-268.
    8. de Mendonça, Hans M.J. & Leonel, Edson D. & de Oliveira, Juliano A., 2017. "An investigation of the convergence to the stationary state in the Hassell mapping," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 466(C), pages 537-543.
    9. Mendiburu, Andrés Z. & Serra, Aguinaldo M. & Andrade, José C. & Silva, Lucas M. & Santos, José C. & de Carvalho, João A., 2019. "Characterization of the flame front inversion of Ethanol–Air deflagrations inside A closed tube," Energy, Elsevier, vol. 187(C).
    10. Rosa, Wanderson & Weberszpil, José, 2018. "Dual conformable derivative: Definition, simple properties and perspectives for applications," Chaos, Solitons & Fractals, Elsevier, vol. 117(C), pages 137-141.
    11. Manochio, C. & Andrade, B.R. & Rodriguez, R.P. & Moraes, B.S., 2017. "Ethanol from biomass: A comparative overview," Renewable and Sustainable Energy Reviews, Elsevier, vol. 80(C), pages 743-755.
    12. de Oliveira, Juliano A. & de Mendonça, Hans M.J. & da Costa, Diogo R. & Leonel, Edson D., 2018. "Effects of a parametric perturbation in the Hassell mapping," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 238-243.

    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:463:y:2016:i:c:p:37-44. 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: 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.