IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v34y2007i2p531-537.html
   My bibliography  Save this article

Some properties of attractors and quasi-attractors

Author

Listed:
  • Tusen, Huang

Abstract

In the study of the complexity of a dynamical system defined on a compact metric space X, the attractors and quasi-attractors are the objects of fundamental interest. In this paper, we shall give some properties of attractors and quasi-attractors. Finally, the Conley’s strong stability property will be improved.

Suggested Citation

  • Tusen, Huang, 2007. "Some properties of attractors and quasi-attractors," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 531-537.
  • Handle: RePEc:eee:chsofr:v:34:y:2007:i:2:p:531-537
    DOI: 10.1016/j.chaos.2006.03.056
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077906002669
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2006.03.056?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. El Naschie, M.S., 2006. "Superstring theory: What it cannot do but E-infinity could," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 65-68.
    2. Ketchamen, E.J. Ngamga & Nana, L. & Kofane, T.C., 2006. "Strange nonchaotic attractors in a fifth-order amplitude equation of Rayleigh–Bénard system near the codimension-two point," Chaos, Solitons & Fractals, Elsevier, vol. 28(5), pages 1139-1148.
    3. He, Ji-Huan, 2006. "Application of E-infinity theory to biology," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 285-289.
    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. He, Ji-Huan, 2009. "Nonlinear science as a fluctuating research frontier," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2533-2537.
    2. He, Ji-Huan & Liu, Jun-Fang, 2009. "Allometric scaling laws in biology and physics," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1836-1838.
    3. Murdzek, R., 2007. "A direct link between large-scale structure and cosmic strings," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 748-753.
    4. He, Ji-Huan, 2008. "String theory in a scale dependent discontinuous space–time," Chaos, Solitons & Fractals, Elsevier, vol. 36(3), pages 542-545.
    5. He, Ji-Huan, 2007. "Shrinkage of body size of small insects: A possible link to global warming?," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 727-729.
    6. Marek-Crnjac, L., 2006. "Pentaquarks and the mass spectrum of the elementary particles of the standard model," Chaos, Solitons & Fractals, Elsevier, vol. 30(2), pages 332-341.
    7. Zhang, Yongping & Sun, Weihua & Liu, Shutang, 2009. "Control of generalized Julia sets," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1738-1744.
    8. He, Ji-Huan & Ren, Zhong-Fu & Fan, Jie & Xu, Lan, 2009. "Hierarchy of wool fibers and its interpretation using E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1839-1841.
    9. Singh, S.L. & Prasad, Bhagwati & Kumar, Ashish, 2009. "Fractals via iterated functions and multifunctions," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1224-1231.
    10. He, Ji-Huan, 2008. "Fatalness of virus depends upon its cell fractal geometry," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1390-1393.
    11. Tanaka, Yosuke, 2007. "The mass spectrum of heavier hadrons and E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 996-1007.
    12. He, Ji-Huan, 2007. "E-Infinity theory and the Higgs field," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 782-786.
    13. Chen, Qingjiang & Cao, Huaixin & Shi, Zhi, 2009. "Construction and characterizations of orthogonal vector-valued multivariate wavelet packets," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1835-1844.
    14. El Naschie, M.S., 2006. "Elementary prerequisites for E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 579-605.
    15. Llorens-Fuster, Enrique & Petruşel, Adrian & Yao, Jen-Chih, 2009. "Iterated function systems and well-posedness," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1561-1568.
    16. Naschie, M.S. El, 2006. "Holographic correspondence and quantum gravity in E-infinity spacetime," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 871-875.
    17. He, Ji-Huan & Xu, Lan, 2009. "Number of elementary particles using exceptional Lie symmetry groups hierarchy," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2119-2124.
    18. El Naschie, M.S., 2006. "Holographic dimensional reduction: Center manifold theorem and E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 816-822.
    19. He, Ji-Huan, 2006. "Application of E-infinity theory to turbulence," Chaos, Solitons & Fractals, Elsevier, vol. 30(2), pages 506-511.
    20. Chen, Qingjiang & Cheng, Zhengxing & Wang, Cuiling, 2007. "Affine pseudoframes for subspaces of L2(R) associated with a generalized multiresolution structure," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1401-1411.

    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:34:y:2007:i:2:p:531-537. 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.