淡江大學機構典藏:Item 987654321/111823
English  |  正體中文  |  简体中文  |  Items with full text/Total items : 62797/95867 (66%)
Visitors : 3739538      Online Users : 470
RC Version 7.0 © Powered By DSPACE, MIT. Enhanced by NTU Library & TKU Library IR team.
Scope Tips:
  • please add "double quotation mark" for query phrases to get precise results
  • please goto advance search for comprehansive author search
  • Adv. Search
    HomeLoginUploadHelpAboutAdminister Goto mobile version
    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/111823


    Title: Snapback repellers and homoclinic orbits for multi-dimensional maps
    Authors: Kang-Ling Liao;Chih-Wen Shih
    Keywords: Snapback repeller;Homoclinic orbit;Chaos
    Date: 2011-08-10
    Issue Date: 2017-10-25 02:10:49 (UTC+8)
    Abstract: Marotto extended Li–Yorkeʼs theorem on chaos from one-dimension to multi-dimension through introducing the notion of snapback repeller in 1978. Due to a technical flaw, he redefined snapback repeller in 2005 to validate this theorem. This presentation provides two methodologies to facilitate the application of Marottoʼs theorem. The first one is to estimate the radius of repelling neighborhood for a repelling fixed point. This estimation is of essential and practical significance as combined with numerical computations of snapback points. Secondly, we propose a sequential graphic-iteration scheme to construct homoclinic orbit for a repeller. This construction allows us to track the homoclinic orbit. Applications of the present methodologies with numerical computation to a chaotic neural network and a predator–prey model are demonstrated.
    Relation: Journal of Mathematical Analysis and Applications, No. 386, 387-400.
    DOI: 10.1016/j.jmaa.2011.08.011
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

    Files in This Item:

    File Description SizeFormat
    index.html0KbHTML66View/Open
    Snapback repellers and homoclinic orbits for multi-dimensional maps.pdf596KbAdobe PDF0View/Open

    All items in 機構典藏 are protected by copyright, with all rights reserved.


    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library & TKU Library IR teams. Copyright ©   - Feedback