IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v113y2018icp238-243.html
   My bibliography  Save this article

Effects of a parametric perturbation in the Hassell mapping

Author

Listed:
  • de Oliveira, Juliano A.
  • de Mendonça, Hans M.J.
  • da Costa, Diogo R.
  • Leonel, Edson D.

Abstract

The convergence to the fixed point near at a transcritical bifurcation and the organization of the extreming curves for a parametric perturbed Hassell mapping are investigated. The evolution of the orbits towards the fixed point at the transcritical bifurcation is described using a phenomenological approach with the support of scaling hypotheses and homogeneous function hence leading to a scaling law related with three critical exponents. Near the bifurcation the decay to the fixed point is exponential with a relaxation time given by a power law. The extreming curves in the parameter space dictates the organization for the windows of periodicity, consequently demonstrating how the set of shrimp-like structures are organized.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:113:y:2018:i:c:p:238-243
    DOI: 10.1016/j.chaos.2018.06.017
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077918304041
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2018.06.017?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. Oded Galor, 2007. "Discrete Dynamical Systems," Springer Books, Springer, edition 1, number 978-3-540-36776-5, July.
    2. 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. da Costa, Diogo Ricardo & Rocha, Julia G.S. & de Paiva, Luam S. & Medrano-T, Rene O., 2021. "Logistic-like and Gauss coupled maps: The born of period-adding cascades," Chaos, Solitons & Fractals, Elsevier, vol. 144(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. Strulik, Holger & Werner, Katharina, 2014. "Elite education, mass education, and the transition to modern growth," University of Göttingen Working Papers in Economics 205, University of Goettingen, Department of Economics.
    2. Carl-Johan Dalgaard & Holger Strulik, 2015. "The physiological foundations of the wealth of nations," Journal of Economic Growth, Springer, vol. 20(1), pages 37-73, March.
    3. Hiroaki Kaido & Kaspar Wüthrich, 2021. "Decentralization estimators for instrumental variable quantile regression models," Quantitative Economics, Econometric Society, vol. 12(2), pages 443-475, May.
    4. Solomon Sorin & Golo Natasa, 2013. "Minsky Financial Instability, Interscale Feedback, Percolation and Marshall–Walras Disequilibrium," Accounting, Economics, and Law: A Convivium, De Gruyter, vol. 3(3), pages 167-260, October.
    5. Battigalli, Pierpaolo & Panebianco, Fabrizio & Pin, Paolo, 2023. "Learning and selfconfirming equilibria in network games," Journal of Economic Theory, Elsevier, vol. 212(C).
    6. de Oliveira, Juliano A. & N. Ramos, Larissa C. & Leonel, Edson D., 2018. "Dynamics towards the steady state applied for the Smith-Slatkin mapping," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 119-122.
    7. Donal Smith, 2015. "Collateral Constraints and the Interest Rate," Discussion Papers 15/22, Department of Economics, University of York.
    8. Lindner, Ines & Strulik, Holger, 2014. "From tradition to modernity: Economic growth in a small world," Journal of Development Economics, Elsevier, vol. 109(C), pages 17-29.
    9. Kalin Hristov & Rossen Rozenov, 2009. "Financial Convergence in the New EU Member States," Working Paper / FINESS 1.2, DIW Berlin, German Institute for Economic Research.
    10. Heifetz, Aviad & Minelli, Enrico & Polemarchakis, Herakles, 2023. "Affective interdependence and welfare," The Warwick Economics Research Paper Series (TWERPS) 1450, University of Warwick, Department of Economics.
    11. Jin, Wen-Long, 2013. "Stability and bifurcation in network traffic flow: A Poincaré map approach," Transportation Research Part B: Methodological, Elsevier, vol. 57(C), pages 191-208.
    12. Andreas Irmen, 2017. "Capital‐ And Labor‐Saving Technical Change In An Aging Economy," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 58(1), pages 261-285, February.
    13. Josselin Thuilliez & Nouhoum Touré, 2024. "Opinions and vaccination during an epidemic," Post-Print hal-04490900, HAL.
    14. Kuhle, Wolfgang, 2021. "Equilibrium with computationally constrained agents," Mathematical Social Sciences, Elsevier, vol. 109(C), pages 77-92.
    15. Luis Alcalá & Fernando Tohmé & Carlos Dabús, 2019. "Strategic Growth with Recursive Preferences: Decreasing Marginal Impatience," Dynamic Games and Applications, Springer, vol. 9(2), pages 314-365, June.
    16. Iong, Ka-Kit & Irmen, Andreas, 2021. "The supply of hours worked and fluctuations between growth regimes," Journal of Economic Theory, Elsevier, vol. 194(C).
    17. Mullon, Charles & Peña, Jorge & Lehmann, Laurent, 2023. "Evolution of environmentally mediated social interactions under isolation by distance," TSE Working Papers 23-1476, Toulouse School of Economics (TSE).
    18. Galor, Oded & Ashraf, Quamrul, 2007. "Cultural Assimilation, Cultural Diffusion and the Origin of the Wealth of Nations," CEPR Discussion Papers 6444, C.E.P.R. Discussion Papers.
    19. 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.
    20. Jin, Wen-Long, 2017. "On the stability of stationary states in general road networks," Transportation Research Part B: Methodological, Elsevier, vol. 98(C), pages 42-61.

    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:113:y:2018:i:c:p:238-243. 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.