IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v20y2009i10ns0129183109014643.html
   My bibliography  Save this article

Taming Chaotic Arrays By Parametric Excitation With Proper Random Phase

Author

Listed:
  • KAI LEUNG YUNG

    (Department of Industrial and Systems Engineering, Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, China)

  • YOUMING LEI

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

  • YAN XU

    (Department of Industrial and Systems Engineering, Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, China)

Abstract

A weak harmonic parametric excitation with random phase has been introduced to tame chaotic arrays. It has been shown that when the amplitude of random phase properly increases, two different kinds of chaotic arrays, unsynchronized and synchronized, can be controlled by the criterion of top Lyapunov exponent. The Lyapunov exponent was computed based on Khasminskii's formulation and the extension of Wedig's algorithm for linear stochastic systems. In particular, it was found that with stronger coupling the synchronized chaotic arrays are more controllable than the unsynchronized ones. The bifurcation analysis, the spatiotemporal evolution, and the Poincaré map were carried out to confirm the results of the top Lyapunov exponent on the dynamical behavior of control stability. Excellent agreement was found between these results.

Suggested Citation

  • 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.
    • Handle: RePEc:wsi:ijmpcx:v:20:y:2009:i:10:n:s0129183109014643
    DOI: 10.1142/S0129183109014643
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183109014643
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0129183109014643?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.
    2. -, 2007. "Major statistical publications: abstracts," Sede Subregional de la CEPAL para el Caribe (Estudios e Investigaciones) 27648, Naciones Unidas Comisión Económica para América Latina y el Caribe (CEPAL).
    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. 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.
    3. 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.
    4. Peter Lindelöf, 2011. "Formal Institutional Contexts As Ownership Of Intellectual Property Rights And Their Implications For The Organization Of Commercialization Of Innovations At Universities — Comparative Data From Swede," International Journal of Innovation Management (ijim), World Scientific Publishing Co. Pte. Ltd., vol. 15(05), pages 1069-1092.
    5. García Nieto, P.J. & García-Gonzalo, E. & Sánchez Lasheras, F. & de Cos Juez, F.J., 2015. "Hybrid PSO–SVM-based method for forecasting of the remaining useful life for aircraft engines and evaluation of its reliability," Reliability Engineering and System Safety, Elsevier, vol. 138(C), pages 219-231.
    6. Xu Bai & Jinxi Wu & Yun Liu & Yihan Xu, 2020. "Research on the impact of global innovation network on 3D printing industry performance," Scientometrics, Springer;Akadémiai Kiadó, vol. 124(2), pages 1015-1051, August.
    7. Nane, Gabriela F. & Larivière, Vincent & Costas, Rodrigo, 2017. "Predicting the age of researchers using bibliometric data," Journal of Informetrics, Elsevier, vol. 11(3), pages 713-729.
    8. Emanuele Bacchiega & Luca Lambertini & Andrea Mantovaini, 2011. "Process And Product Innovation In A Vertically Differentiated Industry," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 13(02), pages 209-221.
    9. 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.
    10. Shujie Yao & Dan Luo & Stephen Morgan, 2008. "Shanghai Stock Exchange Composite Index and Bank Stock Prices in China: A Causality Analysis," Discussion Papers 08/25, University of Nottingham, GEP.
    11. 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).
    12. Lyons Russell, 2011. "The Spread of Evidence-Poor Medicine via Flawed Social-Network Analysis," Statistics, Politics and Policy, De Gruyter, vol. 2(1), pages 1-29, May.
    13. 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.
    14. Nieto, P.J. García & Fernández, J.R. Alonso & Suárez, V.M. González & Muñiz, C. Díaz & García-Gonzalo, E. & Bayón, R. Mayo, 2015. "A hybrid PSO optimized SVM-based method for predicting of the cyanotoxin content from experimental cyanobacteria concentrations in the Trasona reservoir: A case study in Northern Spain," Applied Mathematics and Computation, Elsevier, vol. 260(C), pages 170-187.
    15. Mico Apostolov, 2016. "Cobb–Douglas production function on FDI in Southeast Europe," Journal of Economic Structures, Springer;Pan-Pacific Association of Input-Output Studies (PAPAIOS), vol. 5(1), pages 1-28, December.
    16. Marco Van Gelderen, 2010. "A Heuristic-Inducing Method For Generating Initial Ideas For Opportunities: An Application To The Australasian Dating Market," Journal of Enterprising Culture (JEC), World Scientific Publishing Co. Pte. Ltd., vol. 18(02), pages 139-166.
    17. Subrata Saha & S. P. Sarmah, 2015. "Supply Chain Coordination Under Ramp-Type Price and Effort Induced Demand Considering Revenue Sharing Contract," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 32(02), pages 1-24.
    18. X. F. Pan & Aiguo Xu & Guangcai Zhang & Song Jiang, 2007. "Lattice Boltzmann Approach To High-Speed Compressible Flows," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(11), pages 1747-1764.
    19. 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.
    20. 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.

    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:20:y:2009:i:10:n:s0129183109014643. 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.