IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v30y2006i1p156-165.html
   My bibliography  Save this article

Diffusion as a result of transition in behavior of deterministic maps

Author

Listed:
  • Borys, Przemyslaw
  • Grzywna, Zbigniew J.

Abstract

A transition from nondiffusive growth of variance of a particles position to diffusive one of various type, in nonlinear deterministic maps, is discussed. The details of generating regular, subdiffusive and superdiffusive cases are shown.

Suggested Citation

  • Borys, Przemyslaw & Grzywna, Zbigniew J., 2006. "Diffusion as a result of transition in behavior of deterministic maps," Chaos, Solitons & Fractals, Elsevier, vol. 30(1), pages 156-165.
  • Handle: RePEc:eee:chsofr:v:30:y:2006:i:1:p:156-165
    DOI: 10.1016/j.chaos.2005.08.163
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077905007824
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2005.08.163?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. Stefanski, Andrzej & Dabrowski, Artur & Kapitaniak, Tomasz, 2005. "Evaluation of the largest Lyapunov exponent in dynamical systems with time delay," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1651-1659.
    2. Goychuk, Igor & Hänggi, Peter, 2003. "The role of conformational diffusion in ion channel gating," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(1), pages 9-18.
    3. Andrzej Stefanski & Tomasz kapitaniak, 2000. "Using chaos synchronization to estimate the largest lyapunov exponent of nonsmooth systems," Discrete Dynamics in Nature and Society, Hindawi, vol. 4, pages 1-9, January.
    4. Castiglione, P & Mazzino, A & Muratore-Ginanneschi, P, 2000. "Numerical study of strong anomalous diffusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 280(1), pages 60-68.
    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. Margielewicz, Jerzy & Gąska, Damian & Litak, Grzegorz & Wolszczak, Piotr & Yurchenko, Daniil, 2022. "Nonlinear dynamics of a new energy harvesting system with quasi-zero stiffness," Applied Energy, Elsevier, vol. 307(C).
    2. Margielewicz, Jerzy & Gąska, Damian & Litak, Grzegorz, 2019. "Evolution of the geometric structure of strange attractors of a quasi-zero stiffness vibration isolator," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 47-57.
    3. Verichev, Nikolai N. & Verichev, Stanislav N. & Wiercigroch, Marian, 2009. "Asymptotic theory of chaotic synchronization for dissipative-coupled dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 752-763.
    4. Ramírez-Piscina, L. & Sancho, J.M., 2018. "Periodic spiking by a pair of ionic channels," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 345-354.
    5. Yan, Jun-Juh & Lin, Jui-Sheng & Liao, Teh-Lu, 2007. "Robust dynamic compensator for a class of time delay systems containing saturating control input," Chaos, Solitons & Fractals, Elsevier, vol. 31(5), pages 1223-1231.
    6. Margielewicz, Jerzy & Gąska, Damian & Litak, Grzegorz & Yurchenko, Daniil & Wolszczak, Piotr & Dymarek, Andrzej & Dzitkowski, Tomasz, 2023. "Influence of the configuration of elastic and dissipative elements on the energy harvesting efficiency of a tunnel effect energy harvester," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    7. Stefanski, Andrzej & Dabrowski, Artur & Kapitaniak, Tomasz, 2005. "Evaluation of the largest Lyapunov exponent in dynamical systems with time delay," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1651-1659.
    8. Schmitt, Francccois G. & Seuront, Laurent, 2001. "Multifractal random walk in copepod behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 301(1), pages 375-396.
    9. Panahi, Shirin & Nazarimehr, Fahimeh & Jafari, Sajad & Sprott, Julien C. & Perc, Matjaž & Repnik, Robert, 2021. "Optimal synchronization of circulant and non-circulant oscillators," Applied Mathematics and Computation, Elsevier, vol. 394(C).
    10. Wang, Jianzhou & Jia, Ruiling & Zhao, Weigang & Wu, Jie & Dong, Yao, 2012. "Application of the largest Lyapunov exponent and non-linear fractal extrapolation algorithm to short-term load forecasting," Chaos, Solitons & Fractals, Elsevier, vol. 45(9), pages 1277-1287.
    11. Verichev, Nikolai N. & Verichev, Stanislav N. & Wiercigroch, Marian, 2009. "C-oscillators and stability of stationary cluster structures in lattices of diffusively coupled oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 686-701.
    12. Li, Hang & Shen, Yongjun & Han, Yanjun & Dong, Jinlu & Li, Jian, 2023. "Determining Lyapunov exponents of fractional-order systems: A general method based on memory principle," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    13. Dabrowski, Artur, 2009. "Energy–vector method in mechanical oscillations," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1684-1697.

    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:30:y:2006:i:1:p:156-165. 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.