IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v23y2012i10ns0129183112500714.html
   My bibliography  Save this article

Disorder Induced Order In An Array Of Chaotic Duffing Oscillators

Author

Listed:
  • YOUMING LEI

    (Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, P. R. China)

  • FULI GUAN

    (Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, P. R. China)

Abstract

This paper addresses the issue of disorder induced order in an array of coupled chaotic Duffing oscillators which are excited by harmonic parametric excitations. In order to investigate the effect of phase disorder on dynamics of the array, we take into account that individual uncoupled Duffing oscillator with a parametric excitation is chaotic no matter what the initial phase of the excitation is. It is shown that phase disorder by randomly choosing the initial phases of excitations can suppress spatio-temporal chaos in the system coupled by chaotic Duffing oscillators. When all the phases are the same and deterministic, the oscillators remain chaotic and asynchronous no matter what the common phase is. When driven asynchronously by introducing phase disorder, the oscillators coupled in the array appear more regular with increase of the amplitude of random phase, and the highest level of synchrony between them is induced by intermediate phase disorder, displaying a resonance like phenomenon caused from the transition of the coupled oscillators from chaos to periodic motion. Since varying the initial phases of excitations is more feasible than altering parameters intrinsic to the oscillators coupled in an array, this study provides a practical method for control and synchronization of chaotic dynamics in high-dimensional, spatially extended systems, which might have potential applications in engineering, neuroscience and biology.

Suggested Citation

  • Youming Lei & Fuli Guan, 2012. "Disorder Induced Order In An Array Of Chaotic Duffing Oscillators," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 23(10), pages 1-10.
    • Handle: RePEc:wsi:ijmpcx:v:23:y:2012:i:10:n:s0129183112500714
    DOI: 10.1142/S0129183112500714
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183112500714
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0129183112500714?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. ., 2007. "Managing Horizontal Information Flows in Japan," Chapters, in: Asian Firms, chapter 2, Edward Elgar Publishing.
    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. Desheng Dash Wu & David L. Olson & Luis A. Seco & John Birge, 2011. "Introduction To The Special Issue On "Operational Research And Asia Risk Management"," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 28(01), pages 1-1.
    2. Junping Qiu & Ruimin Ma & Ni Cheng, 2008. "New exploratory work of evaluating a researcher’s output," Scientometrics, Springer;Akadémiai Kiadó, vol. 77(2), pages 335-344, November.
    3. Ngare, Philip, 2019. "Analysis of the coexistence of conventional and unconventional credit markets in the agribusiness sector in Kenya," KBA Centre for Research on Financial Markets and Policy Working Paper Series 37, Kenya Bankers Association (KBA).
    4. Hiromi Saito & Koichi Sumikura, 2010. "An Empirical Analysis On Absorptive Capacity Based On Linkage With Academia," International Journal of Innovation Management (ijim), World Scientific Publishing Co. Pte. Ltd., vol. 14(03), pages 491-509.
    5. Wilfried Pauwels & Peter M. Kort & Eve Vanhaecht, 2014. "R&D Investments As Prebargaining Strategies," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 16(03), pages 1-36.
    6. Rifat A. Atun & Desmond Sheridan, 2007. "Editorial: Innovation In Health Care: The Engine Of Technological Advances," International Journal of Innovation Management (ijim), World Scientific Publishing Co. Pte. Ltd., vol. 11(02), pages 1-1.
    7. Mikalai Krapivin & Maurizio Marchese & Fabio Casati, 2010. "Exploring And Understanding Citation-Based Scientific Metrics," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 13(01), pages 59-81.
    8. Kai Leung Yung & Youming Lei & Yan Xu, 2009. "Taming Chaotic Arrays By Parametric Excitation With Proper Random Phase," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(10), pages 1633-1643.

    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:wsi:ijmpcx:v:23:y:2012:i:10:n:s0129183112500714. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijmpc/ijmpc.shtml .

    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.