IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v25y2014i03ns0129183113501003.html
   My bibliography  Save this article

Robust synchronization of delay differential systems

Author

Listed:
  • Anirban Ray

    (High Energy Physics Division, Department of Physics, Jadavpur University, Calcutta – 700032, India)

  • A. Roy Chowdhury

    (High Energy Physics Division, Department of Physics, Jadavpur University, Calcutta – 700032, India)

Abstract

The methodology of open-plus-close-loop (OPCL), which is up till now mainly used for the case of ordinary dynamical systems is extended for the first time to the case of delay dynamical process, to achieve complete, lag synchronization. Both the one and two way couplings are examined in detail, with the help of delay logistics, Ikeda and Mackey–Glass system. Robustness of the process is exhibited when the same analysis is done in presence of Gaussian noise. Influence of the strength of such a noise is shown. Our procedure opens up a potentially new approach for the synchronization study of delay dynamical systems.

Suggested Citation

  • Anirban Ray & A. Roy Chowdhury, 2014. "Robust synchronization of delay differential systems," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(03), pages 1-20.
    • Handle: RePEc:wsi:ijmpcx:v:25:y:2014:i:03:n:s0129183113501003
    DOI: 10.1142/S0129183113501003
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183113501003
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0129183113501003?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. anonymous, 1997. "Amendments effective January 2, 1998," Federal Reserve Bulletin, Board of Governors of the Federal Reserve System (U.S.), issue Nov, pages 888-888.
    2. anonymous, 1997. "Amendments effective January 1, 1998," Federal Reserve Bulletin, Board of Governors of the Federal Reserve System (U.S.), issue Dec, pages 978987-9789.
    3. Unknown, 1996. "Arer Reviewers, June 1995-May 1996," Agricultural and Resource Economics Review, Northeastern Agricultural and Resource Economics Association, vol. 25(2), pages 1-1, October.
    4. anonymous, 1997. "Profile of Joseph E. Stiglitz," The Region, Federal Reserve Bank of Minneapolis, vol. 11(Sep), pages 9-17.
    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. Yingjie Xia & Yinzuo Zhou, 2014. "Synchronization induced by disorder of phase directions," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(05), pages 1-8.
    2. Guanxiao Qi & Hongbin Huang & Haijun Wang, 2007. "Size Instabilities In The Ring And Linear Arrays Of Chaotic Systems," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 10(03), pages 301-313.
    3. Dave Furth, 2011. "Duopoly Models With Vertical Product Differentiation," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 13(02), pages 121-140.
    4. A. Bershadskii & E. Dremencov & J. Bershadskii & G. Yadid, 2003. "Brain Neurons As Quantum Computers: In Vivosupport Of Background Physics," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(07), pages 897-904.
    5. Reginald D. Smith, 2011. "The Dynamics Of Internet Traffic: Self-Similarity, Self-Organization, And Complex Phenomena," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 14(06), pages 905-949.
    6. M. F. Carusela & L. Romanelli, 2008. "Phase Behavior In A Ring Of Stochastic Oscillators," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 11(01), pages 55-64.
    7. Pravakar Sahoo & Rajiv Kumar, 2011. "The Impact Of Commodity Transaction Tax On Futures Trading In India: An Ex-Ante Analysis," The Singapore Economic Review (SER), World Scientific Publishing Co. Pte. Ltd., vol. 56(03), pages 423-440.
    8. Kamel Mellahi & Adrian Wilkinson, 2008. "A Study Of The Association Between Downsizing And Innovation Determinants," International Journal of Innovation Management (ijim), World Scientific Publishing Co. Pte. Ltd., vol. 12(04), pages 677-698.
    9. Ribar, David C., 2004. "What Do Social Scientists Know About the Benefits of Marriage? A Review of Quantitative Methodologies," IZA Discussion Papers 998, Institute of Labor Economics (IZA).
    10. Colin Jones & Rob Hecker, 2003. "e-EXTINCTION: AN ILLUSION OF KNOWLEDGE, THE PRESENCE OF IGNORANCE, OR EVOLUTIONARY FATE?," Journal of Enterprising Culture (JEC), World Scientific Publishing Co. Pte. Ltd., vol. 11(04), pages 359-378.
    11. Hongbin Zhang & Chunguang Li & Guanrong Chen & Xing Gao, 2005. "Hyperchaos In The Fractional-Order Nonautonomous Chen'S System And Its Synchronization," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(05), pages 815-826.
    12. Craig Parsons, 2005. "The Effect Of The Semiconductor Trade Agreement On Japanese Firms," The Singapore Economic Review (SER), World Scientific Publishing Co. Pte. Ltd., vol. 50(01), pages 117-129.
    13. Daniel Palacios Marqués & Fernando José Garrigós Simón & Carlos Devece Carañana, 2006. "The Effect Of Innovation On Intellectual Capital: An Empirical Evaluation In The Biotechnology And Telecommunications Industries," International Journal of Innovation Management (ijim), World Scientific Publishing Co. Pte. Ltd., vol. 10(01), pages 89-112.
    14. Shiu-Sheng Chen & Tsong-Min Wu, 2010. "Taiwan'S Exchange Rate And Macroeconomic Policies Over The Business Cycle," The Singapore Economic Review (SER), World Scientific Publishing Co. Pte. Ltd., vol. 55(03), pages 435-457.
    15. Steven Pressman, 2003. "The Feminist Explanations for the Feminization of Poverty," LIS Working papers 351, LIS Cross-National Data Center in Luxembourg.
    16. Alexander Rizzo & Heather Fulford, 2012. "Understanding Small Business Strategy: A Grounded Theory Study On Small Firms In The E.U. State Of Malta," Journal of Enterprising Culture (JEC), World Scientific Publishing Co. Pte. Ltd., vol. 20(03), pages 287-332.
    17. Renaud Redien-Collot, 2009. "Female Entrepreneurs' Authority: Is The Creative Aspect Of Authority A Masculine Fiction In Managerial And Entrepreneurial Paradigms?," Journal of Enterprising Culture (JEC), World Scientific Publishing Co. Pte. Ltd., vol. 17(04), pages 419-441.
    18. Kerrie Unsworth & Sukanlaya Sawang & Jennifer Murray & Paul Norman & Tamma Sorbello, 2012. "Understanding Innovation Adoption: Effects Of Orientation, Pressure And Control On Adoption Intentions," International Journal of Innovation Management (ijim), World Scientific Publishing Co. Pte. Ltd., vol. 16(01), pages 1-35.
    19. Ahad Zarghami & Mohammad Javad Maghrebi & Stefano Ubertini & Sauro Succi, 2011. "Modeling Of Bifurcation Phenomena In Suddenly Expanded Flows With A New Finite Volume Lattice Boltzmann Method," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 22(09), pages 977-1003.
    20. Mahdi Jalili, 2012. "Synchronizability Of Complex Networks With Community Structure," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 23(04), pages 1-11.

    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:25:y:2014:i:03:n:s0129183113501003. 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.