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The Control Of Stochastic Complex Damped Nonlinear Systems

Author

Listed:
  • QUN HE

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

  • YONG XU

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

  • GAMAL M. MAHMOUD

    (Department of Mathematics, Faculty of Science, University of Assiut, 71516 Assiut, Egypt)

  • WEI XU

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

Abstract

The aim of this paper is to continue our investigations by studying complex damped nonlinear systems with random noise. The effect of random phase for these systems is examined. The interested system demonstrates unstable periodic attractors when the intensity of random noise equals zero, and we show that the unstable dynamical behavior will be stabilized as the intensity of random noise properly increases. The phase plot and the time evolution are carried out to confirm the obtained results of Poincaré map analysis and top Lyapunov exponent on the dynamical behavior of stability. Excellent agreement is found between these results.

Suggested Citation

  • Qun He & Yong Xu & Gamal M. Mahmoud & Wei Xu, 2007. "The Control Of Stochastic Complex Damped Nonlinear Systems," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(08), pages 1263-1275.
    • Handle: RePEc:wsi:ijmpcx:v:18:y:2007:i:08:n:s0129183107011303
    DOI: 10.1142/S0129183107011303
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