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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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