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Size Instabilities In The Ring And Linear Arrays Of Chaotic Systems

Author

Listed:
  • GUANXIAO QI

    (Department of Physics, Southeast University, Nanjing 210096, China)

  • HONGBIN HUANG

    (Department of Physics, Southeast University, Nanjing 210096, China)

  • HAIJUN WANG

    (Department of Physics, Nanjing Xiaozhuang College, Nanjing 210017, China)

Abstract

We investigate the dynamical stabilities of ring and linear arrays of chaotic oscillators with asymmetric nearest-neighbor and long-range couplings. It is shown that the instabilities of complete chaotic synchronization occur as the numbers of oscillators are increased beyond critical values which depend on the coupling schemes and coupling parameters of the systems. Based on the master stability function and eigenvalue analysis methods, we give the semi-analytical relations between the critical values and the coupling parameters. Results are demonstrated with numerical simulations in a set of coupled Lorenz oscillators.

Suggested Citation

  • 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.
    • Handle: RePEc:wsi:acsxxx:v:10:y:2007:i:03:n:s0219525907001185
    DOI: 10.1142/S0219525907001185
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    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. -, 1997. "Major statistical publications: abstracts," Sede Subregional de la CEPAL para el Caribe (Estudios e Investigaciones) 27418, Naciones Unidas Comisión Económica para América Latina y el Caribe (CEPAL).
    3. N/A, 1996. "Beijing 1995," Indian Journal of Gender Studies, Centre for Women's Development Studies, vol. 3(1), pages 79-79, March.
    4. anonymous, 1996. "Profile of James Tobin," The Region, Federal Reserve Bank of Minneapolis, vol. 10(Dec), pages 28-37.
    5. anonymous, 1996. "New members appointed January 19, 1996," Federal Reserve Bulletin, Board of Governors of the Federal Reserve System (U.S.), issue Mar, pages 217-220.
    6. Ugt, 1996. "El reparto del trabajo," EKONOMIAZ. Revista vasca de Economía, Gobierno Vasco / Eusko Jaurlaritza / Basque Government, vol. 34(01), pages 215-220.
    7. anonymous, 1997. "Final rule. Amendment effective January 2, 1998," Federal Reserve Bulletin, Board of Governors of the Federal Reserve System (U.S.), issue Nov, pages 897-905.
    8. R. J. M. Vaessens & E. H. L. Aarts & J. K. Lenstra, 1996. "Job Shop Scheduling by Local Search," INFORMS Journal on Computing, INFORMS, vol. 8(3), pages 302-317, August.
    9. anonymous, 1996. "New members appointed January 2, 1996," Federal Reserve Bulletin, Board of Governors of the Federal Reserve System (U.S.), issue Mar, pages 217-217.
    10. 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.
    11. 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.
    Full references (including those not matched with items on IDEAS)

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