IDEAS home Printed from https://ideas.repec.org/a/spr/eurphb/v44y2005i2p229-239.html
   My bibliography  Save this article

Stability analysis of coupled map lattices at locally unstable fixed points

Author

Listed:
  • H. Atmanspacher
  • T. Filk
  • H. Scheingraber

Abstract

Numerical simulations of coupled map lattices (CMLs) and other complex model systems show an enormous phenomenological variety that is difficult to classify and understand. It is therefore desirable to establish analytical tools for exploring fundamental features of CMLs, such as their stability properties. Since CMLs can be considered as graphs, we apply methods of spectral graph theory to analyze their stability at locally unstable fixed points for different updating rules, different coupling scenarios, and different types of neighborhoods. Numerical studies are found to be in excellent agreement with our theoretical results. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005

Suggested Citation

  • H. Atmanspacher & T. Filk & H. Scheingraber, 2005. "Stability analysis of coupled map lattices at locally unstable fixed points," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 44(2), pages 229-239, March.
    • Handle: RePEc:spr:eurphb:v:44:y:2005:i:2:p:229-239
    DOI: 10.1140/epjb/e2005-00119-2
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1140/epjb/e2005-00119-2
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1140/epjb/e2005-00119-2?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. Christos Pitelis & Roger Sugden & James R. Wilson, 2006. "Introduction," Chapters, in: Christos Pitelis & Roger Sugden & James R. Wilson (ed.), Clusters and Globalisation, chapter 1, Edward Elgar Publishing.
    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. Dobyns, York & Atmanspacher, Harald, 2006. "Information flow between weakly interacting lattices of coupled maps," Chaos, Solitons & Fractals, Elsevier, vol. 28(3), pages 755-767.

    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. John N. Hooker, 2002. "Logic, Optimization, and Constraint Programming," INFORMS Journal on Computing, INFORMS, vol. 14(4), pages 295-321, November.
    2. Horsch, Eric J. & Lewis, David J., 2008. "The Effects of Aquatic Invasive Species on Property Values: Evidence from a Quasi-Random Experiment," Staff Papers 92216, University of Wisconsin-Madison, Department of Agricultural and Applied Economics.
    3. J. Karpińska & K. Malarz & K. Kułakowski, 2004. "How Pairs Of Partners Emerge In An Initially Fully Connected Society," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 15(09), pages 1227-1233.
    4. Sebastian Piec & Krzysztof Malarz & Krzysztof Kułakowski, 2005. "How To Count Trees?," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(10), pages 1527-1534.
    5. K. Malarz & K. Kułakowski, 2004. "Dependence of the average to-node distance on the node degree for random graphs and growing networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 41(3), pages 333-336, October.
    6. Lisa Östbring & Rikard Eriksson & Urban Lindgren, 2015. "Relatedness through experience: On the importance of collected worker experiences for plant performance," Papers in Evolutionary Economic Geography (PEEG) 1530, Utrecht University, Department of Human Geography and Spatial Planning, Group Economic Geography, revised Sep 2015.
    7. Gianluca Amori & Luca Becchetti & Giuseppe Persiano & Andrea Vitaletti, 2013. "Fully-decentralized computation of importance measures in dynamic evolving networks," DIAG Technical Reports 2013-06, Department of Computer, Control and Management Engineering, Universita' degli Studi di Roma "La Sapienza".
    8. Chih-Kuang Wang & Szu-Hsien Chen & Wan-Yun Li & Chern-Hsiung Lai & Wen-Cheng Chen, 2009. "BIOACTIVE GLASS SHELL GROWTH OF ASi–Na–Ca–PLAYER ON GOLD NANOPARTICLES FUNCTIONALIZED WITH MERCAPTOPROPYLTRIMETHYLOXYSILANE–SILICATE–TETRAETHYLOTHOSILICATE," Surface Review and Letters (SRL), World Scientific Publishing Co. Pte. Ltd., vol. 16(01), pages 37-42.
    9. Bonaventure Chigozie Uzoh & S.C.Anekwe & Kingsley Chike Anigbogu, 2018. "Trade Union Proliferation and Strike Actions in the Public Service in Nigeria," International Journal of Academic Research in Business and Social Sciences, Human Resource Management Academic Research Society, International Journal of Academic Research in Business and Social Sciences, vol. 8(5), pages 480-489, May.
    10. S. Abe & N. Suzuki, 2007. "Dynamical evolution of clustering in complex network of earthquakes," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 59(1), pages 93-97, September.
    11. Dominic, Theresia & Theuvsen, Ludwig, 2015. "Agribusiness Firm Resources and Performance: The Mediating Role of Strategic Management Practices," GlobalFood Discussion Papers 200324, Georg-August-Universitaet Goettingen, GlobalFood, Department of Agricultural Economics and Rural Development.

    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:spr:eurphb:v:44:y:2005:i:2:p:229-239. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.